Prominent honours won by School members in 2000 included the award of Member of the Order of Australia (AM) to Professor Gani and the election as a Fellow of the Royal Society of London of Professor Peter Hall. Professor Gani also won the inaugural Moyal Medal and delivered the inaugural Moyal lecture at Macquarie University. A book entitled "Exploring Chaos: Theory and Experiment" by Dr Brian Davies was honoured by selection in the annual Choice Outstanding Academic Titles list. The retirement of Professor Robinson at the end of 2000 was celebrated through a conference in his honour in June.
The School had a substantial range of grant successes in 2000. These began with funds for a Data Mining Laboratory from The Faculties Research Infrastructure pool. This was followed by funds from the Institute Planning Committee (IPC) for a joint Centre for Bioinformation Science with the John Curtin School of Medical Research, and funds from The Australian Partnership in Advanced Computing (APAC) towards a Data Mining Research Program and an Educational Program in Computational Science and Engineering. The latter two are part of an ANU Computation Centre. Seeding funds from the Vice-Chancellor's Plan for Growth for appointments in bioinformatics and financial mathematics were also awarded. These successes should pave the way for exciting future developments in Advanced Computation and Bioinformatics. On the basic research front, the School continued its long record of ARC success, accounting for four out of the eighteen Large Program Grants awarded in the Mathematical Sciences in Australia.
The above grants will lead to new appointments and precious new blood in the School. At the same time progress was made towards new appointments in the wake of recent retirements. Dr Markus Hegland accepted appointment in the CMA Advanced Computation and Modelling Program and two further positions in mathematics were advertised in the Institute component of the CMA. These replacements are not enough to adequately counter past losses and in this respect the Department of Mathematics in particular is still in a critical position.
At the end of 2000 I completed a nine year period as Dean of the School of Mathematical Sciences. During this period I was always heartened both by the extremely strong performances of School members in research, teaching and academic service and by their continual commitment to the ideal of linking teaching and research embraced through our structure. On the negative side, it was disappointing that such a natural affinity never seemed administratively comfortable in the overall ANU scheme, despite the strong encouragement back in 1988 when we were planning the SMS. It was also disappointing to witness during these years the sharp contrast between, on one hand, the booming opportunities for mathematicians abroad and their prominent roles in shaping overseas development in business and technology and, on the other, the dismal attrition within Australia and its resultant undermining of intellectual resources. Hopefully new administrations can redress some of the damage that has been done.
The Centre for Mathematics and its Applications (CMA) has the primary function of a research institute in the mathematical sciences, fulfilling both national and international roles in this capacity. It comprises all the Institute members of the School t ogether with some members of The Faculties. A high percentage of our staff are employed on contracts of two to five years, including several people on ARC Research Fellowships.
The principal research activities of the School, which are administered through the CMA, are divided into seven research programs and are grouped as follows:
Mathematics:
Statistics:
Applied Mathematics:
Members of the CMA participate with staff from the Department of Mathematics in these programs to form the focal point of research interaction in the School, (refer to SMS Research Programs).
Each program has a large number of visitors and extensive international contacts. As shown later in this report, there is a wealth of powerful international collaboration. A large number of leading mathematicians and statisticians visit us from overseas as well as from within Australia. Our members regularly visit their colleagues overseas, and are invited to participate in international conferences. Indeed, the CMA has an exceptional international profile for its size.
A selection of significant achievements by members of the CMA during the year follows. In collaborative work with the French mathematicians, Auscher and Tchamitchian, and the Americans, Hofmann and Lacey, Alan McIntosh solved a problem which has aroused a lot of interest since it was posed by Kato forty years ago. Min-Chun Hong resolved a long-standing conjecture about energy-minimizing deformations of a ball. Amnon Neeman obtained results with Ranicki about higher-dimensional knot invariants by applyi ng Thomason's localisation theorem to the K-theory of non-commutative rings. Rodney Baxter has given a new formulation of the combinatorial meander problem in terms of the well known Temperley-Lieb algebra.
The CMA conducts several seminar series as well as a weekly colloquium. It publishes a series of research monographs and has extensive series of mathematical and statistical reports.
In its national role, the CMA organises and sponsors programs and conferences involving Australian and overseas researchers. In particular it supports a scheme of National Research Symposia. In 2000, there were 5 such symposia, individual reports of whi ch appear later. The program was overseen by a national committee, while the organisers come from the Australian mathematical and statistical community. The program will continue in 2001, though on a reduced scale. It will be a challenge for the CMA to find support to maintain its national role in the coming years, but every effort will be made to do so. However, its national and international profile remains exceptional, and is expected to continue.
This year Derek Robinson, a long-standing and highly valued member of the CMA, retired; he will continue his association with the CMA as a Visiting Fellow and holds an ARC grant. The next few years will see several more retirements. This presents us wit h the opportunity and the challenge of assessing our role and determining the areas in which to concentrate our resources and build our future strength. We are already committed to development of the applied and computational areas, and have recently app ointed Markus Hegland who has strong connections with other sections of the University and with the Australian Partnership in Advanced Computation. Sue Wilson developed substantial links between our School and the John Curtin School of Medical Research t hrough the establishment of the Centre in Bioinformation Science. The theoretical core of activities must also be kept at its current high level of strength. In this way, the CMA will remain the strongest mathematical and statistical research group in t his country and maintain its international reputation.
Joe Gani was awarded Membership of the Order of Australia (AM) for his contribution to mathematical research, in particular applied probability and mathematical biology. He was also awarded the Moyal Medal when he gave the inaugural Moyal Lecture at Macq uarie University. Peter Hall was elected to Fellowship of the Royal Society of London.
The Mathematics Department is a part of the School of Mathematical Sciences as well as a member of the Faculty of Science. It has both teaching and research roles and carries the primary responsibility for undergraduate teaching in Mathematics in the Uni versity. Much of this year was taken up with digesting the many changes flowing from decisions made by the University in 1999. Overall the year was a successful but difficult one for the Department.
Undergraduate student numbers continued the strong growth of the previous year. Especially pleasing is the growth in numbers of students in our first and second year honours units - they are growing even more strongly than our overall numbers. We contin ue to attract a large number of National Undergraduate Scholars and Distinguished Scholars. Two students were awarded University Medals. The restructuring of our units to fit in with the new 8:8:8 structure has been well received by students. Some unit s were offered by videoconferencing with Monash and Sydney universities. The individual units went well despite the technical inadequacies of present facilities for teaching at this level. However overall there are a number of problems that make it unli kely that this method of teaching will be used extensively. Brian Davies' book "Exploring chaos: Theory and Experiment" has continued to receive critical acclaim - as well as several enthusiastic reviews, Choice (Current Reviews for Academic Libraries) w ill include the book in their annual Outstanding Academic Titles list, published in January 2001. This is a list of 600 books chosen from more that 25,000 titles in all academic disciplines and reviewed by them in the year 2000.
Throughout the year we continued our series of school visits (in collaboration with the University of Canberra) to promote the study of mathematics at the secondary level.
In addition, we have completed the groundwork for several new initiatives which will start next year. A new unit, Poetry of the Universe, will be offered jointly with Philosophy. The Department will receive support from the Vice-Chancellor's Plan for Gr owth to make an appointment in bioinformatics. This will, with the Centre for Bioinformation Science, promote the study of bioinformatics at the ANU. A major initiative is the establishment of a new degree in Computational Science. This recognises the increasingly important role of computational modelling in a wide range of applications and gives students the opportunity to combine depth in mathematics and computer science with the study of an area of application. This initiative is supported by the e ducation program of APAC. The development of an honours school in mathematics as an SMS wide initiative made substantial progress. The research programs of the SMS will offer honours level courses and the SMS has provided funding for the offer of honour s year scholarships from 2001. Postgraduate enrolments remain steady but low; honours graduates in mathematics are in high demand from employers and it is becoming increasingly difficult to recruit postgraduate students in mathematics.
The heavy demands of maintaining our teaching program and adapting to all the changes of the previous year have made research time a precious commodity. The majority of staff have continued to pursue research vigorously and productively. Our output was maintained at a high level, as demonstrated by the number of publications and visitors to the Department and the number of visits by staff to collaborators in other universities. The grant support for mathematics in Australia is very low, with the ARC be ing the only external funding agency to support research in theoretical areas. We had no new large grants in 2000, but received a number of small grants. John Hutchinson has been awarded a large grant for 3 years from 2001 as well as a grant from the ne w Australian-German Joint Research Co-operation Scheme. Several members of staff were successful in obtaining small grants for 2001.
This year saw the retirement of the two longest serving members of the Department (Haralds Petersons and Martin Ward); they continue their association with the Department as Visiting Fellows. A mini-conference was held to celebrate the sixtieth birthday of Bob Bryce. We welcomed back Steve Roberts from his secondment to ACSys. Steve has been one of the driving forces behind the establishment of the new Computational Science degree. We also welcomed the (long overdue) promotion of Rick Loy to Reader.
Maintaining our teaching program has placed considerable strains on the Department. The growth in student numbers together with an infusion of special funds will enable us to make new appointments in the coming year. New staff, growing students numbers and a number of new initiatives mean that we look forward to a year which will be difficult and full of challenges but also full of promise.
In June 2000 academic staff of the School of Mathematics were interviewed by the 7.30 Report to discuss the Navier-Stokes Equations - a riddle that has stumped the world's leading mathematicians for more than 200 years. An offer of big money by the Ameri can Clay Mathematics Institute to solve that and six other extremely complex mathematical problems had provoked the media's interest in the topic.
This occasion provided the School with the opportunity to explain the relevance and importance of mathematics to solving everyday problems and to encourage study in mathematics to a national audience.
By all accounts it was a huge success.
Solution of 40 year old mathematical problem
About 1960 Professor Kato of the University of California Berkeley, during his investigation of the evolution of physical systems, was led to pose a key question about the square roots of operators. The square root of an operator is an operation which wh en performed twice gives the original operator. The question asks whether the square root is stable under small perturbations of the original operator, this being useful in computing mathematical solutions of the physical evolution equations.
It took until 1981 for the one-dimensional version of this problem to be solved in the fundamental work of the Frenchman Meyer, the American Coifman, and the Australian McIntosh, then at Macquarie University. This solution depended on the development of techniques in the deep field of harmonic analysis, and indeed helped contribute to further innovations in this subject. It was only in 2000 that the two dimensional version of this problem fell to the efforts of Hofmann and McIntosh, to be followed some months later by the full three dimensional solution, in a joint attack by the two Americans Hofmann and Lacey, the two Frenchmen Auscher and Tchamitchian, and McIntosh who is now at the ANU.
World Mathematical Year 2000 Conference
Why Mathematics Matters - Exploring ideas and their applications
24-25 November 2000
This conference was organized by the School of Mathematical Sciences, and sponsored by the Australian Mathematical Society and the Australian Academy of Science. The Organizing Committee consisted of Professor Joe Gani (ANU), Professor Cheryl Praeger (U of Western Australia) and Professor Ian Sloan (U of New South Wales).
The Organising Committee canvassed colleagues in all Australian states, and selected speakers from the many names suggested to them. The intention was to cover the widest possible range of mathematical topics in non-technical talks, designed to be ac cessible to school leavers and anyone interested in the role which mathematics plays in everyday life.
The conference was widely advertised in newspapers and on 2 radio stations and gave every impression of being a success. A wide range of people expressed their interest in the topics discussed and commented favourably on the choice of speakers and subjec ts. The talks were clearly enjoyable and informative. However, it was a pity that more school leavers did not attend; one must conclude that alternative strategies for reaching the schools and schoolteachers will need to be devised if further progress w ith outreach programmes is to be made in future.
Public lecture by Vaughan Jones
"A personal and very biased history of the mathematical theory of knots"
On 15 February the School hosted a public lecture by Vaughan Jones, Professor of Mathematics at the University of California at Berkeley, on knots and their mathematical properties. Jones is not your average mathematician. For one thing he is a winner, in 1990, of the Fields Medal (the Mathematics equivalent of a Nobel Prize) for his discovery of quite astonishing relationships between geometric topology and other areas of mathematics. A New Zealander, he delivered his Fields Medal lecture wearing an " All Blacks" rugby jersey. The capacity crowd that attended his ANU lecture in February was not disappointed either. They were captivated by smoke-ring displays and details of how to calculate their own invariant polynomials, as well as hearing a particu larly lucid account of the history of mathematical knot theory and its many practical applications.
K-theory
For various knot-theoretic applications, it is very useful to study localisation theorems in the K-theory of non-commutative rings. The results by Schofield (Cambridge) are particularly tantalising, since they yield an exact localisation sequence, which so far has only six terms; it involves K0 and K1, and the question whether it can be continued to an infinite sequence remains open.
About 12 years ago, Thomason proved a very nice localisation theorem in K-theory. As originally stated, the theorem was about vector bundles on algebraic varieties, objects which are somehow very like what one studies in commutative ring theory. In the early 90's, Neeman generalised Thomason's result to the topological context. Ranicki (Edinburgh) recently asked whether either Thomason's old theorem, or Neeman's generalisation of it, apply in the context of Schofield's results. The answer seems to be that they do; Neeman and Ranicki are currently writing a joint paper on this.
Neeman also worked with Nenashev (Singapore) on defining the lambda operations in K-theory directly in the derived category.
Finite groups
Bryce and Hawkes (Warwick) have been studying the conjugacy class poset associated with a group. There is a natural partial order defined on the frame, the set of all conjugacy classes of subgroups, of a group. This project is directed at understanding connections between the properties of a group and those of its frame. For example, when is a class of groups characterised by the class of the frames of its members? It can be shown that a finite group whose frame is isomorphic to the frame of the alternating group of degree 5 is isomorphic to the alternating group of degree 5. On the other hand, the class of cyclic groups is not characterised by their frames. The present emphasis of this project is on the class of finite soluble groups. Rather restrictive conditions have been found on the frame of a finite group necessary to ensure the group's solubility. Work is continuing on the question of the sufficiency of these conditions.
Bryce and Serena (Firenze) have continued work on covering groups with subgroups. It has long been known that if a group is the irredundant union of finitely many, say n, proper subgroups, then the intersection of these subgroups has finite index bounded above by some function of n. Let f(n) denote the best such bound. There are known upper and lower estimates for f(n). However, the gap between these increases exponentially with n, so one at least is seriously imprecise. The suspicion is that the known lower estimate is close to f(n); indeed, for some small values of n the known lower estimate is f(n). The calculations of these estimates are elementary, using very little of the plethora of theory potentially available. One part of this project is an attempt to reduce the problem of finding f(n) to one where the theory may be applied. Bryce and Serena have extended somewhat the range of n for which f(n) is known precisely. Another aspect of this research concerns so called minimal covers of a group, that is collections of n subgroups of the group whose union is the whole group, and with n as small as possible. In particular, it is of interest to characterise those groups with a minimal cover of subgroups enjoying certain restrictions. As one step in this direction, Bryce and Serena have characterised all groups with a minimal cover consisting of abelian subgroups.
Cossey and Stonehewer (Warwick) continued their investigation of the normal closure of a cyclic quasi-normal subgroup in a p-group. They have completed the odd order case. The even order case seems much more complicated and is still incomplete.
Cossey and Alejandre (Elche, Spain) began an investigation of the mutually permutable products of finite supersoluble groups; they have obtained a good structure theorem. This work is currently being written up for publication.
Cossey and Hawkes (Warwick) continued their investigation into the relation between the number of distinct irreducible character degrees and the number of distinct conjugacy class sizes, concentrating on the case of two class sizes or two irreducible character degrees. Results so far indicate that in this case there is a relation between the two invariants, and results obtained so far confirm their conjecture about the relation.
Havas (Queensland), Newman and O'Brien (Auckland) have improved methods for finding presentations with deficiency zero for finite groups with trivial multiplicator.
Updating earlier work, Kovács completed a paper with Praeger (UWA) on minimal faithful permutation representations of finite groups: this was published in the course of the year.
Ormerod has continued to work with finite p-groups and has obtained a set of relations which must hold for any finite p-group in which every cyclic subgroup has defect at most 2, as long as the prime involved is greater than 3. A closely related class of groups is the class in which every subgroup has defect at most 2. She has found several families of groups with this property, again when the prime is larger than 3.
Lie algebras
Jurman worked on modular graded Lie algebras of maximal class and thin Lie
algebras; in particular he studied a family of simple finite-dimensional
Lie algebras in characteristic 2 called bi-Zassenhaus algebras. He
investigated the structure, the presentation and the cohomology of those
algebras and of their infinite-dimensional loop algebras.
Young has also been studying thin Lie algebras, attempting to classify
those algebras where the distance between the second and third diamonds is
greater than the distance between the first and second diamonds.
Kovács continued work with Bryant and Stöhr (UMIST) on the module structure of free Lie rings and free Lie algebras. A substantial paper was completed and submitted (and issued as a Manchester preprint), and two other papers have been drafted and are close to completion. One of the latter brings to a very satisfying conclusion a line of research began nearly thirty years ago, settling the GL(2,p)-module structure of all homogeneous components of the free Lie algebra of rank 2 over an arbitrary field of characteristic p. The isomorphism types of the indecomposable direct summands are determined and a recursive method given for calculating their multiplicities. In particular, this shows that the indecomposables involved are either simple or projective or of dimension p - 1 and composition length 2.
Newman continued his work with Caranti (Trento) on graded Lie algebras with maximal class. They are now turning their attention to finite-dimensional algebras of this type which cannot occur as quotients of infinite-dimensional algebras of this kind. They have developed new methods for constructing such algebras.
Miscellaneous
Jurman began the study of cryptology, mainly focussing on recent results about successful cryptanalytic attacks to public-key encryption methods, like RSA.
Neumann continued to work in Universal Algebra and in Group Theory.
Newman continued work on certain families of fundamental groups of three-manifolds. The groups in each family are parameterised by an integer parameter. He obtained lower bounds for the number of generators for these groups which are linear in the parameter thus refuting the suggestion that all these groups can be generated by two elements.
Analysis on Lie Groups
Robinson and Dungey, with ter Elst (Eindhoven), studied Gaussian bounds for the kernel of a semigroup generated by a sum of the 2mth powers of invariant vector fields satisfying the Hörmander condition on groups of polynomial growth. They showed that the decay of the kernel for large times is direction dependent: in some directions the decay is like an operator of order 2m, in others only like a second order operator. They related this in a precise way to the Lie algebraic properties of the invariant vector fields. The analysis was closely related to analysis of almost periodic operators on Euclidean space.
Robinson, Dungey and ter Elst analysed second order operators in divergence form with almost periodic coefficients. It was established that the corresponding kernels are Hölder continuous and the kernels and their Hölder derivatives satisfy global Gaussian bounds. Moreover the Riesz transforms are bounded. This work builds upon prior research with Sikora on operators with periodic coefficients.
Kato square root problem
The Kato problem asks whether the square root of an operator L, a second order elliptic operator on a bounded domain in divergence form with bounded measurable complex coefficients, is a well behaved operator in the sense that it is bounded from the Sobolev space H1 to L2. This had been a celebrated open problem since the early 1960's. McIntosh and Hofmann (Columbia, Missouri) solved the problem in two dimensions, and showed that the square root property is retained under small perturbations. The problem in full generality was then solved by McIntosh, Hofmann, Auscher (Amiens), Lacey (Georgia Tech) and Tchamitchian (Marseilles).
Clifford analysis on Lipschitz domains
McIntosh and Axelsson are using Clifford analysis and Dirac operators to study electromagnetic waves of a fixed frequency propagating in a three dimensional space which contains homogeneous objects which are opaque to or penetrable by the radiation. In joint work with Hogan (Arkansas) and Grognard (University of NSW) they used Rellich inequalities and Hardy spaces to show the solvability of boundary value problems with square integrable boundary data.
In continuing work, they are looking at how to match piecewise defined electromagnetic fields across interfaces in order to study the problem of transmission of electromagnetic waves in the presence of penetrable Lipschitz-like objects with distinct characteristics.
Spectral multiplier theorems
A spectral multiplier theorem is a statement about functions F(L) of an operator L, for example that F(L) is bounded on Lp (given conditions on F and p). Sikora and Cowling (University of NSW) studied spectral multiplier theorems for sublaplacians on SU(2). In standard spectral multiplier theorems for elliptic operators the critical index p is determined by the dimension of the underlying space. Sikora and Cowling proved a Hörmander type spectral multiplier theorem for a sublaplacian on SU(2) with the critical exponent equal to half the Euclidean dimension of the group. This is an analogue of the result obtained by Hebisch, Müller and Stein for the Heisenberg group. They also developed techniques of proving very precise multiplier results for operators whose corresponding wave equation has the finite propagation speed property.
Sikora, Duong (Macquarie) and Ouhabaz (Marne-da-Vallée) studied general spectral multiplier theorems for self-adjoint positive definite operators on L2(X), where X is any open subset of a space of homogeneous type. They showed that sharp Hörmander-type spectral multiplier theorems follow from the appropriate estimates of the L2 norm of the kernel of spectral multipliers and the Gaussian bounds for the corresponding heat kernel. Examples include sharp spectral multiplier theorems for a class of scattering operators and new spectral multiplier theorems for Laguerre and Hermite expansions.
Hardy spaces
McIntosh and Lou showed that divergence-free Hardy spaces can be represented using divergence-free atoms. They are now working to prove a similar result for spaces on bounded domains.
Banach algebras
A Banach algebra is said to be amenable if every derivation into any dual bimodule is inner. Loy and Ghahramani (Manitoba) are investigating several different generalisations of this notion. They have shown that in some classical situations the generalised notions coincide with the standard one. In particular this has yielded completely new proofs of several known results.
Loy and Willis (Newcastle) are investigating the sequence of norms of powers of a quasinilpotent element of a Banach algebra. The idea is to use this sequence as a tool in place of the spectrum which gives no information in this case. As a first step they are examining the case of compact multiplication, where recent work with Read (Leeds) and Runde (Alberta) produced examples having hitherto unexpected properties. They have obtained a characterization of which sequences can occur as the norms of powers of a compact quasinilpotent element.
Right topological groups
Loy and Lau (Alberta) are studying compact right topological groups, which are structures which arise as compactifications of general locally compact groups, as well as in topological dynamics. These groups are in general not topological groups in that left multiplication and inversion fail to be continuous. Loy and Lau have developed a new approach to convolution on such objects, allowing them to bring the methods of abstract harmonic analysis to bear on the study. They have showed that the resulting algebras agree with the usual ones if and only if the group is a compact topological group.
Spectral and scattering theory
Hassell and Vasy (MIT) studied the resolvent kernel for the Laplacian on an asymptotically conic space (that is, a complete manifold locally Euclidean at infinity). Such spaces have a natural compactification to a manifold X with boundary. They showed that when the spectral parameter h lies in the continuous spectrum, the resolvent kernels R(h ± i0) are Legendrian distributions on a manifold with corners which is a blowup of the space X × X.
Hassell, Melrose (MIT) and Vasy have been studying scattering theory for nondecaying potentials on asymptotically conic spaces. A typical example of the operators considered is delta + V on Euclidean space, where V(x) is a smooth bounded function which is homogeneous of degree zero for |x| > 1. They have characterized the generalized eigenfunctions and analysed the scattering matrix for such operators at finite energy. The scattering matrix is completely different to the case of decaying potentials; it lives only at the critical points of the potential restricted to infinity.
Hassell and Vasy also analysed Legendrian distributions on manifolds with boundary, and specified the precise relationship between two different classes of distributions which have been used in microlocal analysis on manifolds with boundary.
Functional calculus
McIntosh, Auscher and Duong showed that operators with heat kernel bounds which satisfy L2 quadratic estimates also have Lp quadratic estimates. They are now working on the problem of determining the correct definition of a Hardy space associated with operators which have a bounded holomorphic functional calculus in an L2 space.
Complex analysis
Isaev and Kruzhilin (Moscow) classified connected n-dimensional complex manifolds that admit an effective action of the unitary group Un by biholomorphic transformations. One somewhat surprising consequence of this classification is an affirmative answer to the following problem formulated by Krantz (Washington). Let M be a connected complex manifold of dimension n and Aut(M) the group of all biholomorphic automorphisms of M. Assume that Aut(M) is isomorphic as a topological group equipped with the compact-open topology to the automorphism group Aut(Cn) of complex space Cn; does it then follow that M is biholomorphically equivalent to Cn?
Isaev also found an easier proof of the affirmative answer to Krantz's question in the case of Stein manifolds.
Theoretical rheology.
Loy and Anderssen (CSIRO) have worked on the theoretical underpinnings of various models in polymer dynamics. Together with Davies and Newbury they have given a rigorous proof of a recent sampling localization result of Anderssen and Davies, which used a formal argument to determine the support of what was loosely termed a distribution. The proof holds for suitably restricted data functions, the restriction being very mild from a practical point of view. Loy and Anderssen also gave a technically rigorous proof of a result of Anderssen and Mead concerning molecular weight scaling, which is needed in recovering molecular weight information about polymers from experimental data.
Nonlinear Partial Differential Equations and Applications
Andrews established a new regularity theory for parabolic equations in two spatial variables, analogous to that known for elliptic equations in two variables. In higher dimensions he extended regularity theory to treat equations satisfying weaker concavi ty conditions as a function of second derivatives. New lower order methods were developed for proving gradient estimates for quasilinear non-divergence form parabolic and elliptic equations.
Booth studied the existence proof to solutions of the stationary Maxwell-Dirac equations, in the light of the k-monogenic function theory of McIntosh et al. Problems under investigation included: generalizing k-monogenicity to the case wher e k is a vector, and fully understanding the significance of the nonlinearity.
Trudinger and Wang completed a paper on weak continuity and potential theory for quasilinear subelliptic equations. This was an outgrowth of their previous treatment of Hessian operators, including applications to potential theory by Labutin, and include d, for example, a Wiener criterion for regular points.
Computational Mathematics
Hutchinson finished work with Dziuk (Freiburg) on approximating surfaces of prescribed mean curvature. They also studied the problem of convergence estimates for numerical approximations to mean curvature flow for surfaces and to the flow for curves driv
en by elastic energy.
Trudinger with Kuo (Taiwan) investigated the discrete Aleksandrov maximum principle and Schauder estimates, with applications to discrete schemes, thus extending prior results.
Geometric Problems
Andrews investigated the use of highly nonlinear parabolic equations with carefully chosen nonlinearity for various specific applications. He applied these methods to prove new results on evolution and classification of surfaces, hypersurfaces and Rieman nian metrics. He also continued his work on higher order diffusion equations arising in affine, conformal and projective geometry.
Fang with Hwang (Academia Sinica), studied minimal surfaces bounded by parallel lines. They constructed new reflective examples of such surfaces and generalized doubly periodic minimal surfaces. They also proved graph theorems for such surfaces and for surfaces of more general type. They are currently working on the uniqueness of solutions to the Dirichlet problem on unbounded domains. With Weihuan Chen (Peking), Fang studied self-theta congruent minimal surfaces.
Hong with Giaquinta (Pisa) proved the partial regularity of minimizers of a Dirichlet p-energy type functional involving both forms and maps.
Hong also showed for any real number p with 1 < p < n - 1 that the map x/|x| is the unique minimizer of the p-energy functional for maps from an n-dimensional ball into an (n-1)-dimensional sphere. This question had been open since the 1989 paper of Coron and Gulliver and was finally completely solved by Hong.
Trudinger and Wang continued previous work on the Chern conjecture, addressing boundary value problems and regularity.
Urbas studied Hessian and curvature equations, proving the existence of globally smooth Weingarten graphs with prescribed Gauss image. This continued a series of papers on boundary value problems where the boundary condition is to prescribe the gradient image of the solution. In previous work this problem was solved for the Monge-Ampčre equation (1997) and for Hessian equations (to appear in 2001). More general boundary conditions of this kind are of interest in connection with mass transfer problems. Some progress was made on this during the year, but further investigation is required. Some progress was also made on the second boundary value problem for two dimensional Monge-Ampčre equations in nonconvex domains.
Urbas also studied the global regularity of two dimensional graphs of prescribed Gauss curvature. A particular case of this work is the following optimal result: any two dimensional surface of constant positive Gauss curvature which is a graph over a smo oth convex domain is globally Hölder continuous with exponent 1/2. Urbas continued his research on interior regularity of solutions of curvature equations and related monotonicity formulae, with the aim of extending his recent results for Hessian equatio ns.
Other Physical Problems
Andrews studied qualitative behaviour of interface evolution with anisotropic diffusion. He proved general results concerning regularity and asymptotic behaviour of hypersurface evolution equations involving explicit dependence of speed on direction.
In previous work on the nonlinear coupled Maxwell-Dirac equations, Booth with Jarvis (Tasmania) and Legg (Tasmania) solved (algebraically) the Dirac equation for the potential in terms of the Dirac spinors and their first derivatives. They then derived s ome consistency conditions which the spinors must satisfy. Using the properties of the Clifford algebra, they are now examining these conditions and generalizing them to higher dimensions. This higher dimensional version corresponds to super-symmetric m atter.
Howe applied estimates for eigenvalues to obtain stability tests for systems of differential equations from feedback control.
Hutchinson with Rüschendorf (Freiburg) worked on the problem of applying techniques from their recent papers on random fractals to the approximation of stochastic processes with self-similarity properties.
Trudinger and Wang wrote a paper providing a short proof of the Monge mass transfer problem. In view of a recently found gap in Sudakov's original proof in 1979, this may be the first published complete proof of the solution of this historic problem. Th ey also found counterexamples showing that solutions are not smooth in general.
Statistical Methodology and Theory
Data sharpening techniques involve perturbing data values with the aim of enhancing particular features of an estimator. Hall and Kang's research in this area included techniques for reducing bias, reducing variance, enforcing qualitative constraints (su ch as monotonicity or unimodality of curve estimators) and enhancing robustness.
Conventional methods for conducting nonparametric smoothing using kernel smoothing involve using the same bandwidth both inside and outside the kernel. However Hall showed that the two bandwidths can profitably be taken to be different, particularly if b ias is to be reduced, and in particular bias can generally be reduced by an order of magnitude by allowing the inner bandwidth to be a slight perturbation of the outer one.
There is no extant method for consistently, and nonparametrically, estimating a mixture distribution without using training data. However in some cases, for example where the components are multivariate with independent marginals and the number of dimens ions is sufficiently high, Hall showed that root-n consistent estimation is possible.
Hirst, together with Hall, examined some of the practical and theoretical issues involved with the bandwidth test for regression functions, and is developing a method of calibrating this test to improve the accuracy of its results.
Huang collaborated with Y Ogata (Institute of Statistical Mathematics, Tokyo) on spatial statistics, and developed a new class of estimator based on maximizing the generalized pseudolikelihood. Also, he studied MCMC (Markov Chain Monte Carlo) methods for calculating values of the maximum likelihood estimator and for high-dimensional integration, as well as for the spatial model selection problem.
Rau's research with Hall has been targeting questions of locally-parametric estimation of curves and boundaries in a bivariate regression or density surface. Potential application areas include oceanography and geology, image analysis more generally, and econometrics.
Nonparametric prediction is an underdeveloped field in statistics. Rieck, together with Hall, has been developing an approach for the construction of nonparametric prediction intervals that exhibit beneficial theoretical and numerical properties. While some of the techniques being proposed are computationally intensive, they are convenient to implement.
In nonparametric statistics, Welsh worked with Yee (Auckland), Carroll (Texas A & M) and Lin (Texas) on marginal nonparametric models for correlated data. This work showed a particularly interesting difference between kernel and spline methods which is n ot apparent in the independent case.
In ongoing research in robustness, Welsh worked with Ruckstuhl on robustness issues with binomial-like data and with Peng on robustness with extremes.
The density estimate for a data set should reflect the overall pattern of the data - the peaks and valleys and symmetry of the distribution. Often the boundaries of the distribution (points within which all observations lie) are known, and the density pattern near these boundaries is of particular importance. Whiting, toge ther with Hall, has been exploring some novel proposals for remedying edge effects with the aim of producing a method of density estimation applicable to multivariate data that possesses improved performance at endpoints without suffering from the common faults of many popular remedies.
Data Mining
A range of current problems in data mining involve identifying or filtering documents on the world wide web by measuring their distances to other documents. Current uses of this technique are to identify redundant documents in web searches, and to identi fy forgeries. Hall has been employing related ideas to develop techniques for dating medieval manuscripts, using training data from dated manuscripts. The first step of the project involves developing a large and rich class of metrics among "shingles", or word patterns, on manuscripts. The next consists of using nonparametric regression, and the distance functions, to regress the dates of dated manuscripts onto properties of shingles. Undated manuscripts that are neighbours of dated ones may be identi fied using the metrics, and the regression formula developed for dated manuscripts may then be used to impute the missing dates.
Do patients keep returning to the same doctor, to the same laboratory, to the same pharmacy, or do they shop around? To answer questions such as these, Huang as a member of ACSys Data Mining group developed data mining techniques to analyse two huge data sets from HIC (Health Insurance Commission) and HAC (Department of Health and Aged Care). The two data sets are of 5.8GB and 8.5GB sizes. Both are of Medicare transaction records of patients' payments to hospitals, laboratories or pharmacies. For the HIC data set, for example, Huang proposed the concepts of a loyalty score, an attrition score and departure rate for evaluating doctors, laboratories or pharmacies. He also designed a fast algorithm for calculating those scores and departure rates, which was not an easy task as the data set is huge. Concerning the HAC data set, Huang found the encryption algorithms used for several sub-data sets were different. This is an important discovery as the inconsistency is a serious error making nonsense of an y further analysis. Based on methodology from coding theory and statistics, he calculated some distribution values of the HAC data, which showed the inconsistency.
Applied Statistics
Hall and Rao have been developing methods for the discrimination of remotely-sensed data. In particular they treated the data as replicas of random surfaces, using functional principal components analysis.
In the area of modelling data with extra zeros, Welsh worked with Zhou (Indiana) on developing transformation models for heteroscedastic, nonlinear data with extra zeros. He also continued work with Dobbie on handling correlated data with extra zeros. They have been investigating the possibility of modelling such data using the Neyman type A distribution, and the proposed methods were illustrated by analysis of counts of Leadbeater's possums. These data were also analysed using a conditional Poisson m odel, and to formally compare the models from the two different methods, they extended Cox's test for comparing non-nested hypotheses. If the counts are recorded for the same subjects over time, the readings may be correlated. They extended the conditio nal Poisson model to take account of this possible serial dependence between counts. Their model for correlated zero-inflated count data was illustrated through analysis of counts of Noisy Friarbirds in Canberra. Finally, they investigated models for co rrelated zero-inflated counts where the maximum count is small. An analysis of Golden Whistler counts was used to illustrate these methods.
In estimating abundance of plant and animal populations, Welsh worked with Melville to develop methods that overcome the difficulties he and S Barry had previously found with the standard methods.
Statistical genetics
Wicks' research has been using transmission data for genetic marker loci in families in which one or more members are affected by a disease. The aim is to map disease-susceptibility loci relative to the known marker loci. This involved the development o f complex statistical genetic modelling and the application of likelihood theory.
Wilson worked in the general area of the identification and analysis of candidate genes for complex diseases. For identification of candidate genes bioinformatic methods are being introduced, while for the analysis of candidate genes very general statist ical modelling methods are being developed that can incorporate genetic and environmental effects and their interactions. In particular, she examined what the effect on the analysis of data might be if a single disease gene is assumed when, instead, two (or more) genes are interacting to cause the disease. Using a general genetic model, she developed a global approach to analysing two marker loci. Wilson showed that the problems of reproducibility could indeed arise when multiple genes interact to caus e disease. So, finding that conclusions differ from study to study may be indicative that the "disease gene" under investigation is interacting with other disease genes. This is a general conclusion with broad implications.
Wilson also worked with Huttley (JCSMR) on the development of statistical methodology for a variety of genomic data problems. In particular, they have been developing techniques for the analysis of population genetic variation at the molecular level.
Epidemics
Daley continued discussions with Isham (U Coll. London) on amalgamation of different mechanisms describing different phases of the evolution of epidemic models.
Gani studied particular models for the transmission of HIV by needle exchanges among intravenous drug users, and the spread of the Ebola virus by the re-use of infected needles.
Examination marks
Interest revived in questions regarding scaling examination marks, both with regard to NSW system and the ACT system. Of interest to both is the simulation of examination mark datasets. For the latter, Daley revisited his 1990 Report to the ACT BSSS and the system now implements another of its recommendations with respect to the use of a reference scale (i.e. SAT) scores. Work has begun on studying the question of significant variability in the error variance between colleges as a possible source of ex cessive numbers of students from larger colleges gaining 'top' scores.
Queuing problems
Daley's work, with Servi (GTE Laboratories Inc., Waltham, USA) on modelling call centre operation and management continued with the study of hand-off traffic in mobile telecommunication systems. The work was largely completed, and pointed to a need for a simple way of demonstrating sample path comparisons.
Daley, in joint work with Glynn (Stanford) made progress on making inferences from limited information in queuing models with balking. This work is ready for final review and submission.
Long-range dependence
Heyde's work with Liu and Anh (QUT) on long-range dependence continues under an ARC Large Grant.
Daley completed and published joint work with Vesilo (Macquarie) and Rolski (Wroclaw). Independent work on the moment index for the busy period of an infinite server queue was extended to establish conditions for the busy period distribution to have a su bexponential density function when the same is true of the service time distribution. Real variable techniques further emphasized the fact that transforms are not needed in such studies.
Stochastic geometry problems
Daley completed to technical report stage a study of germ-grain models that may describe realistically the observed volume fraction of aggregate in concrete.
Point processes
Daley began work in earnest on a revised edition of the treatise (with Vere-Jones (Auckland)) "An Introduction to the Theory of Point Processes" (Springer Verlag, 1988). An amalgam of the two long basic theory chapters was prepared, and over a half of th e remaining old text was proof-read after re-keying.
Festschrift editing
Daley began a major task of editing and preparing for publication a festschrift for Vere-Jones entitled "Probability, Statistics and Seismology". The third of these topics is a fertile area of both probability modelling and statistical inferential proble ms. The problem of approximating the Kagan distribution was tackled, but limited progress made.
Subexponentiality
As a result of an extended visit to Kluppelberg (Technical University of Munich), Daley began work with Baltrunas (Vilnius University) on large deviation problems involving subexponential distributions. It was developed and refined.
Liu commenced work on matrix calculus, inequalities, regression and ARCH models. Much attention was paid to time series analysis, especially analysing financial time series data with heavy tails, long-range dependence and self-similarity.
Patterns in sequences of random events
Gani continued his work in this area. Interest is heightening with possible applications of the ideas to studying gene sequences.
Risky asset models
Heyde, jointly with Liu and Wong, Gay (Monash) and Kou (Columbia) has done considerable work on the incorporation of new evidence about strong dependence of financial time series and fractal scaling into a minimal market model.
History of Statistics
Heyde with Seneta (Sydney) essentially completed a major project for the International Statistical Institute in editing a volume "Statisticians of the Centuries" containing over 100 commissioned biographical articles on statisticians born before 1901.
Smoothing methods applied to data mining
Roberts, Hegland (RSISE) and Altas (CSU) have developed a finite element approximation of the 2 dimensional thin plate spline. Roberts and Stal (Old Dominican U) have extended the method to 3 dimensions. The method uses piecewise continuous elements in a formulation which only needs first order derivatives. The resolution of the method is chosen independently of the number of observations which only need to be read from secondary storage once and do not require to be stored in memory. The formulation leads to a saddle point problem. Convergence and solution of the method and its relationship to the standard thin plate splines have been investigated.
Numerical modelling of rapidly varying flood flow
Roberts and Zoppou (ACTEW/AGL) have developed a computer model that can be used to assess the potential damage of rapid floods and quantify the effectiveness of alternative remedial strategies. In particular, they have developed a robust and efficient nu merical algorithm capable of simulating rapidly-varying fluid flow using the two-dimensional shallow water equations. They have demonstrated the usefulness of the model by applying it to a small number of typical water supply reservoir sites in the Canbe rra area. ACTEW/AGL Corporation intends to use this technology in a risk assessment of these water supply reservoirs. Extension of the methods to equations with higher order Boussinesq terms that better model the vertical flow behaviour is to be investi gated.
Geophysical computational methods
Roberts and Matthäi (ETH Zürich) have developed finite element software which has been used to model the reaction of minerals flowing through complicated faulted sedimentary basins with spatial resolution ranging over three orders of magnitude. In additi on, the system has been used to simulate the transient drawdown behaviour of oil wells in geologically-realistic faulted sandstone oil reservoirs. The development of higher order advection methods and three-dimensional models is currently being undertake n.
Tolerant qualocation methods
Qualocation methods, since developed by Sloan (UNSW) more than a decade ago, have been a prolific topic in the boundary element literature to study efficient solution techniques for boundary integral equations. The methods obtain the high order of conver
gence of the Galerkin method, while preserving the simple implementation of the collocation method. However, a drawback is a requirement of extra smoothness of the exact solution. Tran and Sloan (UNSW) have focused on developing qualocation methods whic
h do not require the extra smoothness mentioned above, thus named "tolerant qualocation methods". Equations with variable coefficients were considered. The same convergence results as for the Galerkin method were obtained.
Inverse scattering
Tran and Kress (Göttingen) studied inverse scattering to determine the shape of a local perturbation of a plate. This work contributed to the study of Newton's method for inverse scattering problems on domains with corners.
A posteriori error estimation for nonlinear parabolic equations
Tran and Duong analysed a-posteriori error estimation with the finite element method of lines for nonlinear parabolic equations which were carried out in previous works by other authors. The improvement reduces the assumptions on the solution thus allows the method to be widely used. This method will be extended to other equations like the Benjamin-Bona-Mahony equation and degenerate equations.
Simplicial algorithms for minimizing polyhedral function
Osborne completed the book "Simplicial Algorithms for Minimizing Polyhedral Functions". This book provides the first general account of the development of simplicial algorithms. These include the ubiquitous simplex method of linear programming widely us ed in industrial optimization and strategic decision making and methods important in data analysis, such as problems involving very large datasets. The theoretical development is based on a new way of representing the underlying geometry of polyhedra fun ctions (functions whose graphs are made up of plane faces), and is capable of resolving problems that occur when combinatorially large numbers of faces intersect at each vertex.
Investigation has continued into solvable models in statistical mechanics and related areas of mathematical physics.
Spin ladders and dilute AL models
Batchelor, Maslen and de Gier continued work on the exactly solvable quantum spin ladders introduced last year. The general construction of solvable ladders was extended to allow mixed spins on the ladder legs. Calculation of the physical properties, su ch as spin gaps and magnetisation plateaus, via the Bethe Ansatz solutions is underway. There is some hope that the models may describe the magnetic properties of experimentally realisable ladder-like compounds.
Batchelor and Seaton (Latrobe) continued their work on the family of dilute AL lattice models. Explicit calculations were completed for the transfer matrix excitation spectrum of the dilute A4 model. The results obtai ned after long and difficult calculations verified their previous conjecture for the connection with the E7 mass spectrum. The results have been shown to give new universal amplitudes which may be observed in other models in the same un iversality class such as the tricritical Ising model.
Random tilings and traffic
De Gier and Batchelor continued work on solvable random tiling models and traffic models. One specific tiling model under investigation is the square-triangle model with open boundaries. De Gier collaborated with Nienhuis (Amsterdam) on a generalisation of the square-triangle model where a defect tile is introduced while retaining integrability: they found an interesting hierarchy of integrable models corresponding to this generalisation.
De Gier also worked on a diffusion problem strongly related to a model used for traffic flow. In particular, the stationary state for this model was calculated exactly for an important new case where cars move with a high velocity.
Stromatolite morphogenesis and tree rings
Batchelor, Burne (Geology) and Henry (UNSW) continued work on mathematical models for the growth of stromatolites. These are laminated structures produced as a result of the environmental interactions of microbial communities. They are the only macrosco pic evidence of life on Earth prior to the evolution of macroscopic plants and animals. A set of solutions has been found for the deterministic version of the Kardar-Parisi-Zhang equation which are suggestive of conophyton. The origin and growth of thes e pyramid-like structures have posed a number of longstanding and exciting theoretical challenges to geologists which we hope to address.
Some intriguing similarities between solutions of the radial growth equations investigated earlier by Batchelor, Henry and Watt and the annular growth and form of tree rings were raised in the conference proceedings of the 3rd Tohwa International Statisti cal Physics Meeting. This work involved discussions with Banks (Forestry).
Random rooted maps and meanders
Since 1978 there has been a great deal of work in statistical mechanics on models on random lattices. This appears to have overlooked earlier work by W.T. Tutte on dichromatic polynomials, i.e. Potts models, on random rooted planar maps. Baxter has ext ended Tutte's work to non-separable maps to obtain a non-linear recursion relation for the partition function. He has solved three special cases exactly, and have verified from numerical studies that the system has a transition much like the regular latt ice Potts model. One advantage of this model is that it should be possible to calculate the free energy and thermodynamic properties away from the phase transition.
An intriguing problem in combinatorics is that of counting "meanders", i.e. the number of distinct non-self-intersecting walks that cross a river 2n times, returning to the starting point. Baxter has shown that this can be expressed as a trace ove r an operator in the Temperley-Lieb algebra that has played such a significant role in the planar six-vertex and Potts model, so is in that sense a (rather simple) partition function. So far the problem has proved intractable: can this algebra provide a route to its solution?
Chiral Potts model and educational software
Davies has continued his research into the algebraic geometry of the chiral Potts model. The long term objective of this work is to tackle outstanding problems which have proved intractable using "classical" mathematics. Davies has also developed softwa re for investigating, experimenting with, and visualising nonlinear dynamical systems. The first application version was released in 2000, following successful extensively testing in TLTSU laboratories.
Zamolodchikov and Calogero-Sutherland models
Mangazeev in a collaboration with Boos (Bonn) continued his work on the three-layer Zamolodchikov model. He studied string-like distributions of zeros of the transfer-matrices. In the thermodynamic limit he obtained an exact solution for the distributio n densities for the ground state.
Also Mangazeev studied a separation of variables for the classical and quantum Calogero-Sutherland model. In particular, for the A3 case he constructed the kernel of the quantum separating operator which in the quasiclassical limit pro duces a generating function of the separating canonical transform. These results were known only for A1 and A2 cases.
Geophysics
Petersons studied the long eleven year period electromagnetic response of the Earth and its implications for the electrical conductivity of the mantle. By applying stringent selection criteria to the geomagnetic data and taking into account the variabili ty in both amplitude and period of the solar cycle a more accurate determination of the response function was determined. This response function when compared to the response functions obtained from some theoretical conductivity models supports increased electrical conductivity near the base of the mantle. In the course of this work he found that a set of overdamped systems of a certain type may be related to sunspot numbers.
Professor Gary Schmidt of the University of Arizona visited the School of Mathematical Sciences for a period of 6 months in the latter part of 2000 funded by a Small ARC grant. Professor Schmidt arranged for the University of Arizona spectropolarimeter t o be shipped to the ANU for the duration of his visit. This unique instrument which was designed by himself had hitherto been used exclusively only in the northern hemisphere. The instrument measures the four Stokes vectors which characterise electromag netic radiation, thus allowing a study of magnetism in astronomical objects. The instrument was used on the 74 inch telescope at Mount Stromlo observatory for about 80 nights. The science that has come out of this project has been spectacular. The mode lling of the polarimetric data is being carried out by the staff and students attached to the Astronomy and Astrophysics Program. It is expected that this set of data will be a source of new scientific results and discoveries for years to come.
The year also saw a visit by Professor Brian Warner of the University of Cape Town. As always, his visit stimulated new directions of research.
Members of the Program were heavily involved in the teaching and supervision of honours students in the Astronomy and Astrophysics honours program which is run jointly by the Department of Mathematics, the RSAA and the Department of Physics. Professor W ickramasinghe and Professor Monaghan of Monash University ran specialised courses using the video-conferencing facilities at the ANU and Monash University for the first time. The supervision of projects and the delivery of courses for honours students wa s shared equally between the SMS and the RSAA.
The research highlights from 2000 are summarised below.
Wickramasinghe in collaboration with Tout and Regos (University of Cambridge) investigated the possible progenitors of Type Ia Supernovae. By synthesising the population of binary stars using monte carlo simulations, they concluded that the binary sy
stems which lead to Type Ia supernovae are dominated by edge-lit detonations of sub-Chandrasekhar mass white dwarfs and not by super Chandrasekhar mass explosions as is usually believed. Furthermore, their calculations show that the population of binarie
s which give rise to Type Ia supernovae evolves with redshift thus questioning the use of supernovae as standard candles for measuring the acceleration of the Universe.
Vennes studied problems in the formation and evolution of compact stars and implications for the general stellar population and for the population of cataclysmic variables. The research involves intensive numerical calculations as well as observations w ith space-borne and ground-based telescopes such as KPNO4m, Lick3m, Stromlo2m, Hubble Space Telescope, Far Ultraviolet Explorer, Chandra X-ray telescope, and the Extreme Ultraviolet Explorer.
Wickramasinghe and Ferrario have written a comprehensive and extensive (52 pages) invited review article for the Publications of the Astronomical Society of the Pacific on "Magnetism in Isolated and Binary White Dwarfs".
Ferrario, P Maxted, T R Marsh (U of Southampton, England) and Wickramasinghe have constructed Zeeman models to explain the peculiar spectrum of the isolated magnetic white dwarf WD1953-011. This star (which also exhibits a rotational period of hours
or days) shows a very complex magnetic field structure. The modelling suggests that the spectra can be explained by a high field region of magnetic field strength 500 kiloGauss covering about 10% of the surface area of the star superimposed on an underly
ing dipolar field of mean field strength 70 kG.
Ferrario, G Schmidt (ANU and U of Arizona), P Smith (U of Arizona) and Wickramasinghe have modelled the phase-resolved optical spectropolarimetry of the magnetic cataclysmic variable V884 Her. Their modelling found that the set of narrow, polarised absor ption features matches the Zeeman pattern of hydrogen for a nearly uniform magnetic field of B=150 MegaGauss, indicating that the features are "halo" absorption lines arising in a relatively cool reversing layer above the accretion shock. With this ident ification, the broad polarization humps observed in the spectrum of this object are assigned to cyclotron emission from the fundamental and first harmonic (m=2), respectively. V884 Her is only the second AM Her system known with a field exceeding 100 MegaGauss, and the first case in which the cyclotron fundamental has been directly observed from a magnetic white dwarf.
Ferrario, G Schmidt (ANU and U of Arizona) and Wickramasinghe have constructed models of polarised line emission from magnetised accretion flows and investigated how line circular polarisation can be used to infer the dynamics and the physics of the field channelled flow in AM Herculis systems. Their models have been applied to the high field AM Herculis systems AR UMa and V884 Her.
There were 5 CMA National Research Symposia held in 2000:
Organisers: Professor V Bazhanov, Drs M Batchelor and P Pearce (Melbourne)
February 13-19, 2000 held at the ANU
Participants: 76 (21 participants from the Australian National University, 22 participants from 5 other Australian Universities and 33 participants from overseas institutions)
This conference was held in honour of Professor Rodney Baxter's sixtieth birthday. It highlighted areas where his work has been most influential. These included exactly solved lattice models, integrable quantum field theory, quantum groups, knot the
ory, q-series, combinatorics and applications to statistical physics. It brought together international experts in these fields from Australia, China, Korea, Japan, Brazil, France, Germany, The Netherlands, Russia and the USA. The conference was
highly successful in bringing the participating scientists up to date with the most recent developments and in encouraging communication and collaboration between geographically separated groups.
The workshop was opened by Professor Barry McCoy with a memorable overview of Professor Baxter's many revolutionary accomplishments. This began with his solution of the eight-vertex model in 1971 and the invention of corner transfer matrices in 1976 and continuing through to the creation of the RSOS models in 1984 and his present work on chiral Potts models. Professor Vaughan Jones gave a public lecture on the topic of knots which drew one of the largest ever audiences for a public lecture at the Austra lian National University.
The proceedings of the conference will appear in the Journal of Statistical Physics. A picture archive of the speakers and social activities can be found at http://www.maths.anu.edu.au/conferences/Baxter2000.
The schedule ran as follows: (February 14) B McCoy: The Baxter Revolution; B Nienhuis: Packing order: tiles and colours; C Hamer: Finite-size scaling and effective Lagrangians at quantum phase transitions; A Klumper: Thermodynamics of integrable quantum chains; J Oitmaa: Ladders, combs, bilayers and brushes; Y Stroganov: Ground state of the quantum symmetric finite size XXZ spin chain with anisotropy parameter Delta = 1/2; R Quispel: Piecewise-linear integrable systems; C Rim: Reflection amplitudes and one point function of (affine) Toda field theories. (February 15) R Baxter: Models I have known; P Wiegmann: Arithmetics and Cantor spectra of integrable models: Hofstadter problem; M Wadati: Symmetric and non-symmetric bases of quantum integrable particle systems with long-range interactions; V Bazhanov: The mysterious Q; J-M Maillard: Let's Baxterise; A Owczaarek: The combinatorics of the free fermion condition in vertex models; I Enting: The computational complexity of series expansions for the Potts model using the finite lattice method; V Jones: Knots (Public Lecture). (February 16) T Miwa: Combinatorics of coinvariants; F Smirnov: Dual Baxter's equations and quantum algebraic geometry; O Foda: Combinatorial aspects of Baxter-type models; M Gould: Type II quantum superalgebras and integrable models; A Carey: Calogero-Sutherland systems; P Bouwknegt: The universal chiral partition function in a fractional quantum Hall basis; A Kuniba: Soliton cellular automata from vertex models; S Warnaar: Bailey's lemma and Kostka polynomials; V Jones: The quantum dodecahedron. (February 17) J Perk: Wavevector-dependent susceptibilities in quasiperiodic Ising models; F Wu: Dimer statistics and spanning trees; P Forrester: Random matrices in a bigger picture; T Guttmann: Progress in the study of the susceptibility of 2d Ising model; K Seaton: The inversion relation and the dilute A3,4,6 eigenspectrum; J de Gier: Fractional magnetization plateaus in exactly solved spin ladders; R Kashaev: Quantum dilogarithm and strongly coupled quantum discrete Liouville model; T Nakanishi: Bethe equation at q = 0 and weight multiplicities; I Jensen: Enumerations of lattice animals and trees; J Suzuki: Functional relations in Stokes multipliers; G Campbell: Transforming q series into new Dirichlet series involving Riemann zeta fu nctions. (February 18) C Tracy: Applications of random matrix theory to combinatorics and growth processes; A Zamolodchikov: Yang-Baxter equations in integrable relativistic field theory; P Pearce: Integrable and conformal boundary conditions; V Ko repin: Solution of inverse scattering problem for eight-vertex model; F Alcaraz: Exact solution of asymmetric diffusion with second-class particles of arbitrary size; M-L Ge: Yangian symmetry in Yang-Baxter systems - applications; Y Pugai: Free fie ld construction for ABF model in regime II; C Ahn: Reflection amplitudes and thermodynamic Bethe Ansatz for simply and non-simply laced affine Toda theories; H Yang: Studies of Baxter's solution for the free energy of the Chiral Potts model; J McGuir e: An extension of the Bethe Ansatz - the quantum three-particle ring. (February 19) B McCoy: The sl2 loop algebra symmetry of the six-vertex model at roots of unity; J Noh: Symmetry property and incompleteness of the Bethe Ansatz w ave functions for Heisenberg XXZ chain; V Fridkin: Eta-dependence of the ground state energy of the finite XXZ spin chain; J Martinez: The spin-1/2 XXZ quantum chain at finite magnetic fields - crossover phenomena driven by temperature; M Gulacsi: T he exact Schrieffer-Wolff transformation; V Mangazeev: Some exact results for the Zamolodchikov model.
Organisers: Professor A Neeman and Dr L Kovács
February 23-26, 2000 held at the ANU
Participants: 23 (10 participants from the Australian National University, 10 participants from 4 other Australian Universities and 3 participants from overseas institutions)
Australia in general, and the ANU more particularly, have a long tradition of exceptional strength in group theory, and more especially in the theory of finite groups. The idea of this conference was to focus more on the applications of group theory. Th ese applications include other branches of mathematics, and other sciences (especially physics). We wanted to bring together a reasonably diverse group, to discuss a broad range of applications.
When one asks people to attend a conference that focuses on areas only tangentially related to their immediate expertise, one expects a modest turnout. Only the courageous and open-minded are likely to come. In the circumstances, the list of 23 particip ants is impressive; it is particularly encouraging that so many graduate students came. We heard talks about a range of applications of group theory. The talks ranged from physics to topology to algebraic geometry. The talks were about very current, o ften exciting recent developments. For example, Henning Andersen reported about some developments with one of Lusztig's conjectures. The conjecture in question concerns the multiplicities of irreducible modules in the reduction modulo p of a Weyl module. Until recently, the best result in the subject was joint work of Andersen, Jantzen and Soergel; they proved the conjecture for very large p. But now there may be work substantially improving the results. Assuming the new result is true (it is still work in progress), there will soon be a fairly small, effective bound on p.
The National Symposia are intended to promote friendly interactions between the participants. It is fair to say that we had great success. This symposium was somewhat interdisciplinary, so the participants were not a bunch of old friends getting togethe r yet again. Nevertheless, we got on very well, and the people seemed quite keen on the idea of meeting again, sometime soon.
The schedule ran as follows: (February 23) J Du: Finite dimensional algebras and cellular systems; H Andersen: p-filtrations for modular representations; R Zhang: Quantum superalgebras and Vassiliev invariants; C Mak: Quasi-parabolic subgroup s of generalised symmetric groups. (February 24) S Gadde: Splittings of groups and intersection numbers; J Carlson: Categorical equivalences and orthogonal subcategories over group algebras; J Hillman: Applications of L2-Betti numb ers to low-dimensional topology; I Aitchison: Mr Spock as a toral tangram. (February 25) G Lehrer: Action of a reflection group on the cohomology of its configuration space; A Neeman: Automorphisms of the Yang-Baxter equations, for the Chiral Potts model; B Howlett: Automorphisms of Coxeter groups of rank 3. (February 26) Informal discussions.
Non-linear Time Series, Stochastic Networks and Allied Modern Statistical Techniques
Organisers: Dr R Wolff (QUT) and Dr D Guégan (Reims)
June 28-July 2, 2000 held at the ANU
Participants: 20 (4 participants from the Australian National University, 9 participants from 6 other Australian Universities and 7 participants from overseas institutions)
The following is a list of activities which have followed as a result of the symposium.
The schedule ran as follows: (June 28) C Heyde: Empirical realities for a minimal description risky asset model: the need for fractal features; P Brockwell: Heavy-tailed and non-linear continuous-time ARMA models for financial time series; J Breidt : Estimation for all-pass time series models; L Cao: Multivariate time series prediction, relationship and redundancy. (June 29) I Hudson: Nonlinear time series methods in the analysis of SIDS and climate; M Faddy: Bees and queues; J Gani: Sprea ding infection through re-used hypodermic needles; T Brown: Stein's approximation for networks of queues; M Haviv: Homogeneous customers renege at random times when waiting conditions deteriorate; I Ziedens: Limiting dynamics for virtual partitionin g in loss networks. (June 30) D Kugiumtzis: Surrogate data test for nonlinearity: a new approach; J Gao: Non-parametric and semi-parametric estimation in non-linear stochastic dynamical systems; R Gregson: Some empirical determinations of a bivaria te entropic analogue of the Schwarzian derivative; D Veitch: Traps in estimating the multifractal spectrum of alpha stable processes; A Barnett: A bootstrap test to detect non-linearity in time series based on the bispectrum; D Nur: Asymptotic prope rties of third cumulants in time series. (July 1) M Hudson: Statistical algorithms in systems describing image sequences; P Pelin: The bootstrap in array signal processing; M Reale: VARMA models identification using graphical modelling.
Geometric Analysis and Applications
Organisers: Professor A McIntosh, Drs A Hassell, A Isaev and A Sikora
June 26-30, 2000 held at the ANU
Participants: 29 (22 participants from 7 other Australian Universities and 7 participants from overseas institutions)
There were two aims in holding this symposium. The first was to celebrate Derek Robinson's 65th birthday and highlight his many contributions to geometric analysis, especially his work on operator theory and analysis on Lie groups. The second aim was to bring together various different research groups in geometry and analysis (for example, in harmonic analysis, spectral theory, operator theory, differential geometry) to encourage communication and collaboration.
The symposium was very popular; we had more people wishing to speak than we could accommodate, and had to keep a waiting list for speakers. In the end, we had 28 talks lasting 45 minutes each. On the first day, June 26, speakers gave talks highlighting some of Derek's major contributions to mathematics. Later talks covered diverse fields including quantum switches, noncommutative geometry, topological dynamics, microlocal analysis and mathematical physics as well as the topics mentioned above. There w as much interaction between the different groups of researchers, and the organisers felt that the symposium was a great success and achieved its aims.
The schedule ran as follows: (June 26) P Jorgensen: Non-commutative techniques in the analysis of partial differential equations; A Carey: Spectral invariants of magnetic Schrodinger operators; M Cowling: Functional calculus for the Laplacian; D Evans: From XY to ADE; T ter Elst: Subelliptic operators and Lie groups. (June 27) N Dancer: Periodic-decaying positive solutions on Rn; R Gulliver: The heat flow method in contact geometry; G Martin: The Beltrami equation ; L Yan: Wavelets and oscillatory integrals; J Wright: Endpoint results for Marcinkiewicz multipliers; I Doust: Schur projections on von Neumann-Schatten classes; J Corbett: Quantum mechanics as an intuitionistic form of classical mechanics. (Jun e 28) T Dooley: Orbital convolutions, wrapping maps and e-functions; C Meaney: Principal series and analysis; V Pestov: Ramsey-Levy-Milman phenomenon, Urysohn metric spaces, and ubiquity of amenability; F Sukochev: On the Banach-isomorphic c lassification of Lp spaces of hyperfinite von Neumann algebras; X Duong: Spectral multiplier on Lp spaces for self adjoint operators; G Mockenhaupt: On restriction of Fourier transforms; T Qian: A relation between unit sphere and t he unit circle. (June 29) M Varghese: On asymptotic spectral properties of Harper type operators; J Wunsch: Propagation of singularities for the wave equation on conic manifolds; L Stoyanov: Spectrum of the Ruelle operator and zeta functions for br oken geodesic flows; H Booth: Maxwell-Dirac Theory - variations on a theme; M Murray: Yet another construction of the central extension of the loop group; P Dodds: Vilenkin systems in non-commutative spaces of measurable operators; A Pryde: Asympt otic behaviour of unbounded C0-semigroups. (June 30) M Harmer: Manipulating of the electron current through the splitting; K Okikiolu: Critical metrics for spectral zeta functions.
Geometric Numerical Integration
Organisers: Dr R Quispel (Latrobe) and Dr R McLachlan (Massey)
December 10-16, 2000 held at Latrobe University
Participants: 32 (6 participants from Latrobe and 26 participants from overseas institutions)
The purpose of this Symposium was to bring together world experts in the hot topic of geometric integration to present their latest work, and to provide an environment in which plenty of informal interactions could take place. The latter was accomplished by having all afternoons free of talks, and concentrating the talks in the mornings and some evenings. This strategy, which also prevented overload, was quite successful, and resulted in a lot of discussions taking place in small groups. This aspect wa s much appreciated by all participants.
The Symposium received a lot of publicity. The Symposium was financially supported by the New Zealand Marsden Foundation, the Latrobe University Department of Mathematics, the Centre for Mathematics and its Applications, the Australian Research Council, and by Wolfram Research.
In summary, the Symposium was very successful, and achieved, if not exceeded, all the aims that had been set for it.
The schedule ran as follows: (December 11) John Roberts: Structures in dynamical systems; Reinout Quispel: A survey of geometric numerical integration methods for ordinary differential equations; Peter Olver: The geometry of numerical analysis; Jim S cully: Analysis of numerical integration methods using rooted trees; Ander Murua Uria: Rooted trees, and free Lie algebras. (December 12) Ben Leimkuhler: Reversible multiple time-scale integrators; Jialin Hong: Some results on symplectic and mult-s ymplectic algorithms; Matthew West: Discrete reduction for fluids; Sergey Pekarsky: Variational symplectic mechanics and its discretization. (December 13) Brynjulf Owren: Lie group integrators; Arieh Iserles: Magnus expansions for isospectral flows ; Elena Celledoni: Integration of ODEs on the Stiefel manifolds; Antonella Zanna: Generalised polar decompositions and the approximation of the matrix exponential; Hans Munthe-Kaas: Generalised polar coordinates on Lie groups. (December 15) John B utcher and Will Wright: General linear methods for ODEs and other evolutionary problems; Haruo Yoshida: First integrals which are not well conserved by symplectic methods; Robert McLachlan: Nonlinear stability of symplectic integrators; Robert Skeel : Practical Evaluation of Modified Hamiltonians; Raphael Hauser: On the computation of the singular value decomposition of matrix functions; Integrators for nonholonomic mechanical systems. (December 16) Etienne Forest: Symplectic Methods in Ring Si mulation; Philippe Chartier: Reversible methods of RK type for index-2 DAEs; Mark Sofroniou: A new framework for the numerical solution of ordinary differential equations; Paul Zegeling: Travelling waves in higher-order PDE models and adaptive Sund man-type transformations.
| Professor M Costabel | Rennes | 6/11/00 -- 15/12/00 |
| Professor R Melrose | Cambridge | 17/3/00 --12/4/00 |
| Professor K Okikiolu | California | 26/6/00 -- 21/7/00 |
| Professor F Smirnov | Université Pierre et Marie Curie | 31/1/00 -- 21/2/00 |
| Professor A Tsybakov | Paris 6 | 28/2/00 -- 8/3/00 |
Special Year
The MSRVP Special Year for 2000 was in Statistics, and included a workshop on the analysis of spatio-temporal data. Overseas invited speakers included Professors Lynne Billard, of the University of Georgia, Yoshihiko Ogata, of the Institute of Statistica l Mathematics in Tokyo, George Tiao, of the University of Chicago, and Chris Wilkie, of the University of Missouri and the US National Centre for Atmospheric Research. The very successful workshop brought together these foreign scientists and their Austr alian colleagues working in a variety of related fields, many of major strategic importance to the country. These included statistical modelling for weather forecasting, environmental modelling using remotely sensed satellite data, and a variety of model ling problems applied to populations of fauna and flora. Australian participants in the Special Year included scientists working in CSIRO, state government agencies, and private industry, as well as universities.
The School continues to actively promote mathematics in ACT Schools by maintaining linkages with students, teachers and school counsellors. The promotion of the need for strong mathematical skills in diverse disciplines and new areas of mathematics,
including bioinformatics and computational modelling, are particularly emphasised so that students gain a good understanding of why they should study mathematics. We ensure that both genders are represented at school visits so that both male and female s
tudents become aware of existing role models in the discipline. The outreach program is designed to incorporate information and images that reinforce gender equity.
In addition, members of the School are working closely with the Australian Mathematical Society to produce a brochure which encourages school leavers to continue in mathematics at university. Role models are again used to target female students. Young f emale and male mathematics graduates, who have moved into a variety of successful careers, talk about their experiences in the brochure.
During the year, the SMS organised a mini-conference, "Why Mathematics Matters" targeting school students. The invited speakers were chosen for their strong communication skills and successful careers as mathematicians. The aim was to provide role model s of both genders and to attract mathematics students to the School.
A flow-on effect of these activities is expected to be increased numbers in students, and in the longer term, a more equitable gender distribution of academic staff.
Against the University's Gender Equity Plan, the School has, during the period under report, taken the following actions:
Mandatory Strategies
3.12 Incorporate successful application of EO principles among noteworthy achievements in staff performance assessments
Commencing 2000, all academic staff have been requested to provide a report of their achievements for the year for inclusion in the Annual Report.
3.14 Make explicit provision for pastoral care and committee activities in promotion and selection procedures
All division heads, chairs and members of selection committees/promotion committees have been issued with guidelines requiring their attention to this responsibility.
3.26 Introduce a mentoring scheme focussed on the needs of women staff members
A strategy is to be developed by the SMS Equity & Diversity Committee during 2001. Recommendations will be conveyed to the Dean for consideration.
Elective Strategies
4.2 Establish a broadly based gender equity advisory group in a Faculty, Research School, Centre or Division
The SMS Equity & Diversity Working Party has been converted to a Committee. It's charter is to make recommendations to the School Board/Dean for action and to respond to the Equity & Diversity Consultative Group on university-wide working party papers an d other relevant issues on behalf of the SMS. The Chair and members of the Committee are representative of academic and general staff, and graduate students.
4.12 Actively seek out qualified women applicants when filling senior positions
What was previously an informal practice in the School has been formalised. Division Heads and Chairs and members of selection committees are provided with instructions to seek out suitable candidates. In addition, individual and formal networks are ext ensively used to advise potential candidates. Also, all relevant positions are now advertised with the USA-based, Association for Women in Mathematics. This action ensures that advertisements are reaching the target audience.
4.16 Actively seek out qualified women applicants when filling 'tenure-track' positions.
Action taken is the same as 4.12 above.
Further strategies are under discussion by the SMS School Board and the SMS Planning Committee and progress will be reported in later Annual Reports.
Ms Verdune Biles, Executive Officer, continues to represent the Dean on the Equity & Diversity Consultative Group. During the year she and Ms Sue Lebish, Executive Officer, RSBS, comprised a working party to examine the need for provision of English lang uage/cultural training for people who are new to Australia, in particular for those for whom English is not their first language. The report of that working party has now been submitted to the Equity & Diversity Working Group for consideration.
Associate Dean
R J Loy, BSc(Hons) Melb., MSc PhD Monash, GradDipHEd UNSW
Executive Officer
V R K Biles, BA Canb., MBA UNE
Dean's Assistant
P A DeWinter
IT Officers
N D Guoth, BA Macq., (IT Manager)
D P A Bentley, BSc UNE (50% fractional)
N J Langdale-Smith (33% fractional)
C J T Wetherell, BSc Adel. (SMS webmaster)
Honorary Librarian
D W N Stibbs, MSc Syd., DPhil Oxon., FRAS, FRSE
Faculties component
(Professors)
P G Hall, BSc Syd., MSc ANU, DPhil Oxon., DHC Louvain, FAA, FRS
N S Trudinger, BSc UNE, MS PhD Stan., FAA, FRS
A H Welsh, BSc Syd., PhD ANU (jointly with IAS)
(ARC Senior Fellow)
J I E Urbas, BSc PhD ANU
(Research Fellow - ACSys)
F Huang, BS Peking, MS Beijing, PhD Tokyo
(ARC QEII Fellows)
B H Andrews, BSc PhD ANU
Y Fang, BSc MA Jilin, PhD Mass.
V V Mangazeev, BSc Moscow, PhD Protvino
(ARC Fellows)
A W Hassell, BSc ANU, PhD MIT
M-C Hong, BSc MSc Nankai, PhD Zhejiang
A V Isaev, BSc MSc PhD Moscow
X-J Wang, BSc MSc PhD Zhejiang
(ARC Postdoctoral Fellow)
N M Dungey, BSc Adel., PhD ANU
(ARC Research Associates)
A M Claeskens, BS Antwerp, MS PhD Leuven
L-S Huang, BS Taiwan, MS PhD North Carolina
K-H Kang, BSc MSc PhD Seoul National
D A Labutin, Bsc Msc Moscow Tech.
L Peng, BS Zhejiang, MS Peking, PhD Rotterdam
(Temporary Assistant)
D A Labutin, BSc MSc Moscow Tech., PhD ANU (to June)
Institute component
(Professors)
R J Baxter, MA ScD Cantab., PhD ANU, FAA, FRS
(jointly with RSPhysSE)
V V Bazhanov, DipPhy Moscow, PhD Serpukhov
(substantive appointment in RSPhysSE)
C C Heyde, MSc Syd., PhD DSc ANU, HonsDSc Syd., FAA
J E Hutchinson, BSc NSW, MS PhD Stan. (50% seconded
from Mathematics, The Faculties)
A G R McIntosh, BSc UNE, PhD Berkeley, Calif., FAA
D W Robinson, MA DPhil Oxon., FAA
A H Welsh, BSc Syd., PhD ANU (jointly with The Faculties)
S R Wilson, BSc Syd., PhD ANU
(Senior Fellows)
D J Daley, BSc MA Melb., MA PhD Cantab.
L G Kovács, MSc PhD Manc.
A Neeman, BSc MS Syd., PhD Harvard
(Reader)
R J Loy, BSc Melb., MSc PhD Monash, GradDipHEd
NSW (25% seconded from Mathematics, The Faculties)
(Research Fellow)
S Liu, BSc Jilin, MSc
Northeastern, China,
PhD Amsterdam
A B Sikora, MSc Wroclaw, PhD Polish Academy of Science
T Tran, BSc Ho Chi Minh City, PhD NSW
(Postdoctoral Fellow)
H S Booth, BSc Adel., PhD UNE
G Jurman, Laurea in Matematica PhD Trento
University Fellow
J M Gani, AM, BSc DIC DSc Lond., PhD ANU, HonDSc Sheff. & Woll., FAA
Professor Emeritus (Honorary Fellow)
B H Neumann, AC DrPhil Berlin, PhD Cantab., DSc Manc., HonDSc N'cle (NSW), Monash, WAust. & Hull, HonDMath Waterloo (Ont.), HonDr RerNat Humboldt, FAust.MS, FTICA(Hon), FACE, FAA, FRS
Professors Emeritus (Visiting Fellows)
C R Heathcote, BA WAust., MA Melb., PhD ANU, FRSS, FIMS, FISI
M F Newman, MSc Syd., PhD Manc.
M R Osborne, BA Melb., PhD Lond., FAA
Adjunct Professors
L Billard, BS PhD NSW - University of Georgia
R P Brent, MS PhD Stan., DSc Monash, FAA, FIEEE, FIEAust., FACM - University of Oxford
I M Johnstone, MSc ANU, MS PhD Cornell - Stanford University
G I Lehrer, BSc Syd., PhD Warwick, FAA - University of Sydney
R B Melrose, BSc ANU, PhD Cantab. - Massachusetts Institute of Technology
E Platen, MSc PhD Dresden, DrScNat Berlin - University of Technology Sydney
T P Speed, BSc Melb., DipEd PhD Monash - University of California, Berkeley
Research Affiliates
R S Anderssen, MSc Qld., PhD Adel. - CSIRO
R Bartnik, BSc(Hons) MSc Melb., PhD Princ. - University of Canberra
G W S Chan, BSc(Hons) Flin., PhD ANU - University of New South Wales
F R de Hoog, BSc WAust., PhD ANU - CSIRO
K-A Do, BSc(Hons) Qld. - Queensland University of Technology
M L Dow, BSc(Hons) Monash, PhD Tas. - ANU
D J Gates, MSc Monash, PhD Lond. - CSIRO
G Havas, BA(Hons) ANU, PhD Syd. - University of Queensland
T M Hegland, DrSciMath ETH Zürich - ANU
M H Kahn, MSc Qld., PhD ANU - ANU
M Ng, MPhil HK, PhD Chinese HK - ANU
E A O'Brien, BSc(Hons) NUI Galway, PhD ANU - University of Auckland
C E Praeger, MSc Qld&Oxon., DPhil Oxon., DSc WAust., Hon DSc PSU - University of Western Australia
J Robinson, BSc(Hons) Qld., PhD Syd. -University of Sydney
D B Singleton, BSc(Hons) PhD Monash - ANU
M J Smith, BSc(Hons) PhD ANU - Department of Defence
M Westcott, BSc(Hons) Melb., PhD ANU -CSIRO
Administrative Staff
A Hughes
J Enge (LWOP from July)
M M Sung
Staff movements - Incoming (new staff)
H S Booth (from August)
G A M Claeskens (from March)
N M Dungey (from June)
S Liu (from April)
M M Sung (from July)
Staff movements - Outgoing (staff departures)
G A M Claeskens (to August) Limburgs Universitair Centrum
Y Fang (to December) ANU
L-S Huang (to January) Rochester
D A Labutin (to September) ETH Zürich
L Peng (to July) Hong Kong
M M Sung (to December) Ethical Investments
Promotions
M-C Hong to Fellow
R J Loy to Reader
Staff retirements
D W Robinson
(Professors)
J E Hutchinson, BSc(Hons) NSW, PhD Stan. (50%
seconded to CMA)
D T Wickramasinghe, BA MA PhD Camb., FRAS (50% seconded to RSAA,
to January)
(Readers and Senior Fellow)
G V Bicknell, MSc Phd Syd. (jointly with RSAA)
R A Bryce, BSc(Hons) MSc Qld.,PhD ANU
P J Cossey, BSc(Hons) Qld., PhD ANU
B Davies, BSc(Hons) PhD NSW
R J Loy, BSc(Hons) Melb., MSc PhD Monash, GradDipHEd
NSW (25% seconded to CMA)
(Senior Lecturers)
L Ferrario, Laurea in Astronomia Bologna, PhD ANU
A A T Howe, BSc(Hons) NE, PhD ANU
S G Roberts, MSc Flin., PhD Calif., Berkeley
(seconded to RSISE, to January)
N F Smythe, BSc NSW, PhD Princ.
(Lecturers)
J Li, BSc Zhejiang, MSc Shaanxi, PhD Sussex
(jointly with RSAA)
E A Ormerod, BSc NSW, PhD ANU (50% fractional)
H F Petersons, MSc PhD Syd. (to January)
(ARC Senior Fellow)
M T Batchelor, BSc(Hons) NSW, PhD ANU
(QEII Fellow)
S Vennes, MSc PhD Montreal
(Postdoctoral Fellow)
W El-Khoury, BSc Hons, PhD ANU
(ARC Research Associate)
J de Gier, MSc Utrecht, PhD Amsterdam
Retired Visiting Fellows
H F Petersons, MSc PhD Syd.
M A Ward, BSc Melb., BA PhD ANU
Administrative staff
J Enge
K A Wicks
Staff Movements - Incoming (new staff)
K A Wicks (from April)
Staff Movements - Outgoing (staff departures)
G V Bicknell (to January) RSAA
J Enge (to April) CMA
W El-Khoury (to June) Financial Mgt, Melbourne
J Li (to January) DETYA
E Robinson (to January) ANU
Promotions
R J Loy to Reader
Staff retirements
H F Petersons
M A Ward
Student research projects
Ajiev (McIntosh) commenced work on some properties of Besoy, Lizorkin-Triebel, BMO and closely connected spaces defined on irregular domains and their subspaces.
Axelsson (McIntosh) continued work on Clifford analysis and Maxwell's equations.
Basile (Kovács) continued work on finite groups.
Boero Rodriguez (Welsh) continued work on applying the Kalman filter to longitudinal data.
Clutterbuck (Andrews) continued work on partial differential equations in geometry.
Copetti (Newman) continued work on Lie algebras.
Dobbie (Welsh) continued work on longitudinal data with extra zeros.
Fischer (Heyde) continued work on filtering methods in finance.
Gilliard (Hall) continued work on problems in the analysis of transportation data.
Hirst (Hall) continued work on bump hunting.
Johnston (Hall) continued work on testing hypothesis about distributions.
Li (Osborne) continued work on the development of sequential quadratic programming algorithms for optimization problems in data analysis.
Lou (McIntosh) continued work on coercivity condition for certain elliptic systems by generalising results of Coifman, Lions, Meyer and Semmes on Jacobian determinants being in the Hardy space H1.
Pozzi (Hutchinson) commenced work on numerical analysis of geometric variational problems.
Rau (Hall) continued work on problems of curve estimation from spatial data.
Rieck (Hall) continued work on methods for prediction.
Whiting (Hall) commenced work on producing a method of density estimation applicable to multivariate data.
Wicks (Wilson) continued work on association studies in genetics.
Wong (Heyde) commenced work on mathematical finance under a fractal activity time model.
Young (Newman) continued work on Lie algebras.
Student destinations
N M Dungey, ANU
D A Labutin, ANU, ETH Zürich
Visiting students
T-B Duong, (U of Medicine & Pharmacy of Ho Chi Minh City), 1/08/00 - 30/08/00
DoM Graduate students
A Blanco Cedeno, BSc Havana
M Buxton, BSc Tas.
T Jarso, BSc Addis Ababa, MSc Philippines
M Maslen, Bsc WAust.
J Tolmie, BSc, GdipSc ANU
C Wetherell, BSc Adel.
Graduate student research projects
Blanco Cedeno (Loy) Weak amenability of algebras of approximable operators
Buxton (Ferrario) The observational properties of black holes in binaries
Jarso (Cossey) Automorphisms fixing subnormal subgroups of infinite metabelian groups
Maslen (Batchelor) Exactly solved quantum spin ladders and planar random tilings
Tolmie (Cossey) Visualisation, navigation and mathematical perception: a visual notation for rational numbers mod 1
Wetherell (Cossey) Subnormal structure of finite soluble groups
DoM Honours students
A Brooke-Taylor, BSc ANU
S Burton, BSc ANU
L Campbell, BSc ANU
M Coleman, BSc ANU
V Coulthard, BSc ANU
R Deacon, BSc ANU
D Ham, BSc ANU
C Harrison, BSc ANU
S Leslie, BSc ANU
K Manson, BSc Murdoch
L Stanford, BSc ANU
Honours student research projects
Brooke-Taylor (Neeman) Derived categories
Campbell (Colless) Simulation of the 6dF galaxy survey
Coleman (Wood) The simulation of a semi-detached binary system with SPH
Coulthard (Davoren) A study of topological polymodal logics
Deacon (Ferrario) Modelling the Geometry of Cyclotron Emission Regions
Ham (Davies) Control of chaotic systems and fractal basin boundaries
Harrison (Wickramasinghe) The vertical structure of accretion discs
Leslie (Loy) The Daugavet equation
Manson (Ferrario) Modelling the field structure of magnetic white dwarfs
Stanford (Schmidt) Modelling the field structure of magnetic white dwarfs
Student destinations
W El-Khoury, ANU
Visiting students
A Eberhard (Hannover) 2000 (Hutchinson)
A Kawka (Murdoch) Oct 2000 - Oct 2001 (Vennes).
Long-term Visitors
Dr D Heath, UTS, 1/01/00 - 31/12/00
Dr E Platen, UTS, 1/01/00 - 31/12/00
Professor J Robinson, Syd., 26/06/00 - 22/12/00
Dr P Vassiliou, Canb., 28/07/00 -
Short-term Visitors
Professor R Brent, Oxford, 18/12/00 - 28/12/00
Professor J Cannon, Syd., 20/02/00 - 27/02/00
Professor C Casolo, Firenze, 16/11/00 - 23/11/00
Dr M-Y Cheng, National Taiwan, 20/07/00 - 16/08/00
Professor T Coulhon, Cergy Pontoise, 29/11/00 - 1/12/00
Professor R Doney, Manchester, 30/11/00 - 1/12/00
Ms T-B Duong, Med. & Pharm. of Ho Chi Minh City, 23/01/00 - 12/02/00, 1/08/00 - 30/08/00
Dr X-T Duong, Macquarie, 3/10/00 - 6/10/00
Professor D Evans, Wales, 19/06/00 - 1/07/00
Professor M Faddy, Qld., 9/07/00 - 14/07/00
Dr V Fridkin, Kyoto, 9/02/00 - 21/02/00
Professor E Getzler, Northwestern, 1/05/00 - 6/05/00
Professor B Gulliver, Minnesota at Minneapolis, 15/05/00 - 19/05/00
Professor G Havas, Qld., 6/10/00 - 8/10/00
Dr J Hogan, Macquarie, 10/07/00 - 11/07/00
Dr B Jefferies, NSW, 7/02/00 - 18/02/00
Professor I Johnstone, Stanford, 22/12/00 -
Professor W Kaup, Tübingen, 14/11/00 - 18/11/00
Professor K-T Kim, Pohang U of Science & Technology, 7/07/00 - 24/07/00
Professor F Kirwan, Oxford, 29/11/00 - 20/12/00
Professor N Kruzhilin, Steklov Mathematical Institute, 8/05/00 - 29/05/00
Professor E Kuwert, Freiburg, 6/04/00 - 9/04/00
Professor L Ma, Tringhual, 11/12/00 - 15/12/00
Dr A Niemeyer, WAust., 23/11/00 - 26/11/00
Dr E O'Brien, Auckland, 16/11/00 - 19/11/00, 28/12/00 -
Professor S Okada, NSW, 7/02/00 - 18/02/00
Professor B Park, Seoul National, 15/01/00 - 9/02/00
Professor J Robinson, Syd., 1/02/00 - 11/02/00
Dr R Schaetzler, ETH Zürich, 19/03/00 - 25/03/00
Dr C Schneider, WAust., 21/04/00 - 30/04/00
Professor L Serena, Firenze, 12/11/00 - 22/11/00
Dr O Stoll, Tübingen, 12/01/00 - 15/01/00
Professor F Szidarovszky, Arizona, 10/08/00 - 13/08/00
Professor T Tao, UCLA, 27/09/00 - 2/10/00
Professor G Tiao, Chicago, 12/09/00 - 18/09/00
Professor E Titi, Syd., 21/08/00 - 22/08/00
Professor V Tolstoy, Syd., 9/12/00 - 13/12/00
Dr R Vesilo, Macquarie, 7/02/00 - 11/02/00
Dr R Wolff, QUT, 10/01/00 - 14/01/00
Professor D Yost, Milan, 17/06/00 - 19/06/00
Dr K Zhang, Macquarie, 24/01/00 - 28/01/00, 9/07/00 - 14/07/00
Long-term Visitors
Mr M J Alejandre, Spain, 1/6/00 - 15/9/00
Visiting Lecturers
Dr J H Knight, CSIRO, 4/10/00 -
Affiliate members
Professor C Chiarella, UTS
Dr L Clewlow, Warwick
Dr D J Daley
Professor R Elliott, Edmonton
Dr V Frischling, Commonwealth Bank of Australia, Sydney
Professor J Gani
Dr J van der Hoek, Adelaide
Professor I Karatzas, Columbia
Professor T Kariya, Hitotsubashi
Dr G Kentwell, Macquarie Bank, Sydney
Dr S Liu
Professor A Pagan, RSSS
Professor E Platen, UTS
Professor R Rebolledo, Santiago
Professor W Runggaldier, Padova
Professor M Schweizer, Berlin
Mr C Strickland, Warwick
Professor N S Trudinger
Visiting fellows
Dr D Heath, UTS, 1/01/2000 - 31/12/00
Professor E Platen, UTS, 1/01/2000 - 31/12/00
Assoc Professor R Gay, Monash University, 10/07/00 - 31/08/00
Graduate students
P A Fischer, BSc/Ec(Hons) ANU
B H Y Wong, BCom Macquarie (from August)
Book chapters
S Liu
On matrix trace Kantorovich-type inequalities
In: Innovations in Multivariate Statistical Analysis-A Festschrift for Heinz Neudecker, R D H Heijmans, D S G Pollack and A Satorra (Editors), Kluwer Academic Publishers, Dordrecht, 39-50, 2000
Journal articles
M Ainsworth, B McLean & T Tran
Diagonal scaling of stiffness matrices in the Galerkin element method
ANZIAM J., 42(1), 141-150, 2000
B Andrews
Motion of hypersurfaces by Gauss curvature
Pacific J. Math.,195(1), 1-34, 2000
S Bakin, M Hegland & G Williams
Mining taxation data with parallel BMARS
Parallel Algorithms Appl., 15(1-2), 37-55, 2000
G Bammer, L Battisson, J Ward & S R Wilson
The impact on retention of expansion of an Australian Public Methadone Program
Drugs and Alcohol Dependence, 58, 173-180, 2000
R J Baxter
Equivalence of the two results for the free energy of the chiral Potts model
J. Statist.Phys., 98(3-4), 513-535, 2000
H E Boos & V V Mangazeev
Some exact results for the three-layer Zamolodchikov model
Nuclear Physics B, 592(3), 597-626, 2000
G B Campbell
Infinite products over hyperpyramid lattices
Int. J. Math. Math. Sci., 23(4), 271-277, 2000
A Caranti & M F Newman
Graded Lie algebras of maximal class II
J. Algebra, 229(2), 750-784, 2000
W Chen & Y Fang
Self theta-congruent minimal surfaces in R3
J. Austral. Math. Soc. Series A, 69(2), 229-244, 2000
M-Y Cheng, E Choi, J Fan & P G Hall
Skewing-methods for two-parameter locally parametric density estimation
Bernoulli, 6(1), 169-182, 2000
S Cheng, L Peng & Y Qi
Ergodic behaviour of extreme values
J. Austral. Math. Soc. Ser. A., 68(2), 170-180, 2000
E Choi & P G Hall
Non-parametric approach to analysis of space-time data on earthquake occurrences
J. Computat. Graph. Statist., 8(4), 733-748, 1999
E Choi & P G Hall
On the estimation of poles in intensity functions
Biometrika, 87(2), 251-263, 2000
E Choi & P G Hall
Bootstrap confidence regions computed from autoregressions of arbitrary order
J.R. Stat. Soc. Ser. B, 62(3), 461-477, 2000
E Choi, P G Hall & B Presnell
Rendering parametric procedures more robust by empirically tilting the model
Biometrika, 87(2), 453-465, 2000
D J Daley
The Hurst index of long-range dependent renewal processes
Ann. Probab., 27(4), 2035-2041, 1999
D J Daley, J Gani & S Yakowitz
An epidemic with individual infectivities and susceptibilities
Math. Comput. Modelling, 32(1-2), 155-167, 2000
D J Daley, C L Mallows & L R Shepp
A one-dimensional Poisson growth model with non-overlapping intervals
Stochastic Process. Appl., 90(2), 223-241, 2000
D J Daley, T Rolski & R Vesilo
Long-range dependent point processes and their Palm-Khinchin distributions
Adv. Appl. Probab., 34, 1051-1063, 2000
N Dungey
Sharp constants in higher-order heat kernel bounds
Bull. Austral. Math. Soc., 61(2), 189-200, 2000
Y Fang & J-F Hwang
Curvature estimates for minimal annuli and non-compact Douglas-Plateau problem
Comm. Anal. and Geom., 8(4), 871-904, 2000
Y Fang & J-F Hwang
A note on Shiffman's theorems
Geom. Dedicata, 81(1-3), 167-71, 2000
Y Fang & M-C Hong
Heat flow for Yang-Mills fields, Part I
Chinese Ann. of Math. Series B, 21(4), 453-72, 2000
A Feuerverger & P G Hall
Methods for density estimation in thick-slice versions of Wicksell's problem
J. Amer. Statist. Assoc., 95(450), 535-546, 2000
J Gani
Obituary: Sidney Jesse Yakowitz
J. Appl. Prob., 37(2), 606-611, 2000
J Gani
The Maki-Thompson rumour model: a detailed analysis
Environmental Modelling & Software, 15, 721-725, 2000
J A Gifford, A V Isaev & S G Krantz
On the dimensions of the automorphism groups of hyperbolic Reinhardt domains
Illinois J. Math., 44(3), 602-618, 2000
I Gijbels, P G Hall, M C Jones & I Koch
Tests for monotonicity of a regression mean with guaranteed level
Biometrika, 87(3), 663-673, 2000
P G Hall & N E Heckman
Testing for monotonicity of a regression mean by calibrating for linear functions
Ann. Statist., 28(1), 20-39, 2000
P G Hall, S M-S Lee & A Young
Importance of interpolation when constructing double bootstrap confidence intervals
J. R. Stat. Soc. Ser. B Stat. Methodol., 62(3), 479-491, 2000
P G Hall & Y Maesono
A weighted-bootstrap approach to bootstrap iteration
J. R. Stat. Soc. Ser. B Stat. Methodol., 62(1), 137-144, 2000
P G Hall, B Presnell & B A Turlach
Reducing bias without prejudicing sign
Ann. Inst. Statist. Math., 52(3), 507-518, 2000
P G Hall & C Rau
Tracking a smooth fault line in a response surface
Ann. Statist., 28(3), 713-733, 2000
P G Hall, J D Reimann & J Rice
Nonparametric estimation of a period function
Biometrika, 87(3), 545-557, 2000
P G Hall & N Tajvidi
Distribution and dependence-function estimation for bivariate extreme-value distributions
Bernoulli, 6(5), 835-844, 2000
P G Hall & N Tajvidi
Nonparametric analysis of temporal trend when fitting parametric models to extreme-value data
Statist. Sci., 15(2), 153-167, 2000
A Hassell & A Vasy
The spectral projections and the resolvent for scattering metrics
J. Anal. Math., 79, 241-298, 1999
A Hassell
Distorted plane waves for the 3 body Schrödinger operator
Geom. Funct. Anal., 10(1), 1-50, 2000
A Hassell
Scattering matrices for the quantum N body problem
Trans. Amer. Math. Soc., 352(8), 3799-3820, 2000
A Hassell & A Vasy
Symbolic functional calculus and N-body resolvent estimates
J. Funct. Anal., 173(2), 257-283, 2000
S Hawkins, G Williams, R Baxter, P Christen, M Fett, M Hegland, F Huang, O Nielsen, T Semenova & A Smith
Exploration of medicare pathology records using data mining
Research Report of CSIRO Mathematical and Information Sciences, 54, 1-130, 2000
V R Haynatzka, J Gani & S T Rachev
The spread of AIDS among interactive transmission groups
Math. Comput. Modelling, 32(1-2), 169-180, 2000
G R Haynatzki, J Gani & S T Rachev
A steady-state model for the spread of HIV among drug users
Math. Comput. Modelling, 32(1-2), 181-195, 2000
C C Heyde
A risky asset model with strong dependence through fractal activity time
J. Applied Prob., 36, 1234-1239, 2000
D W Holtby
Higher-order estimates for fully nonlinear difference equations. I
Proc. Edinburgh Math. Soc., 43(3), 485-510, 2000
M-C Hong
On the Jäger-Kaul theorem concerning harmonic maps
Ann. Inst. H. Poincaré Anal. Non Linéaire, 17(1), 35-46, 2000
G A Huttley, I B Jakobsen, S R Wilson & S Easteal
Is DNA replication essential for mutagenesis?
Molecular Biology & Evolution, 17, 929-937, 2000
G A Huttley & S R Wilson
Testing for concordant equilibria between groups
Genetics, 156, 2127-2135, 2000
A V Isaev & S G Krantz
Characterization of Reinhardt domains by their automorphism groups. Several complex variables
J. Korean Math. Soc., 37(2), 297-308, 2000
A V Isaev & S G Krantz
Invariant distances and metrics in complex analysis
Notices Amer. Math. Soc., 47(5), 546-553, 2000
K-H Kang, J-Y Koo & C-W Park
Kernel estimation of discontinuous regression functions
Statist. Probab. Lett., 47(3), 277-285, 2000
K-H Kang, W-C Kim & B-U Park
Higher order kernels in adaptive location estimation
J. Nonparametr. Statist., 12(6), 879-888, 2000
L G Kovács & C E Praeger
On minimal faithful permutation representations of finite groups
Bull. Austral. Math. Soc., 62(2), 311-317, 2000
L G Kovács & R Stöhr
Lie powers of the natural module for GL(2)
J. Algebra, 229(2), 435-462, 2000
R Kress & T Tran
Inverse scattering for a locally perturbed half-plane
Inverse Problems, 16(5), 1541-1559, 2000
H-J Kuo & N S Trudinger
A note on the discrete Aleksandrov-Bakelman maximum principle
Taiwanese J. Math., 4(1), 55-64, 2000
D A Labutin
Pluripolarity of sets with small Hausdorff measure
Manuscripta Math., 102(2), 163-167, 2000
D A Labutin
Superposition operator in Sobolev spaces on domains
Proc. Amer. Math. Soc., 128(11), 3399-3403, 2000
Z F Li
Numerical Experiments with variants of the SQP method for nonlinear least squares problems
ANZIAM J., 42(E), 900-917, 2000
S Liu
Efficiency comparisons between the OLSE and the BLUE in a singular linear model
J. Statist. Plann. Inference, 84(1-2), 191-200, 2000
S Liu
Inequalities involving Hadamard products of positive semidefinite matrices
J. Math. Anal. Appl., 243(2), 458-463, 2000
S Liu
On local influence in elliptical linear regression models
Statistical Papers, 41, 211-224, 2000
S Liu
Efficiency comparisons between two estimators based on matrix determinant Kantorovich-type inequalities
Metrika, 51(2), 145-155, 2000
Z Lou
Composition operators on Qp spaces
J. Aust. Math. Soc., 69, 1-28, 2000
B M S Martin
Restrictions of representations of a surface group to a pair of free subgroups
J. Algebra, 225(1), 231-249, 2000
A G R McIntosh & A Nahmod
Heat kernel estimates and functional calculi of -bdelta
Math. Scand., 87(2), 287-319, 2000
A G R McIntosh, J Hogan, C Li & K Zhang
Global higher integrability of Jacobians on bounded domains
Ann. Inst. H. Poincaré Anal. Non Linéaire, 17(2), 1193-217, 2000
A Neeman
Oddball Bousfield classes
Topology, 39(5), 931-935, 2000
A Neeman
Loop spaces for the Q-constructions
Fund. Math., 164(1), 71-95, 2000
A Neeman
K-theory for triangulated categories 3.5 12(A): A detailed proof the of theorem of homological functors. Special issues dedicated to Daniel Quillen on the occasion of his sixtieth birthday, Part II
K-Theory, 20(2), 97-174, 2000
A Neeman
K-theory for triangulated categories 3.5 12(B): A detailed proof of the theorem of homogical functors. Special issues dedicated to Daniel Quillen on the occasion of his sixtieth birthday, Part III.
K-Theory, 20(3), 243-298, 2000
A Neeman
An improvement on a theorem of Ben Martin
Math. Res. Lett., 7(4), 411-415, 2000
M F Newman, G Havas, A Niemeyer & C Sims
Computing in groups with exponent six
Computational and geometric aspects of modern algebra, 87-100
London Mathematical Society Lecture Note Series, 275, Cambridge Univ. Press, 2000
M F Newman, C Schneider & A Shalev
The entropy of graded algebras
J. Algebra, 223(1), 85-100, 2000
M R Osborne
Scoring with constraints. Papers in honour of David Elliott on the occasion of his sixty-fifth birthday.
ANZIAM J., 42(1), 9-25, 2000
M R Osborne, B Presnell & B A Turlach
A new approach to variable selection in least squares problems
IMA J. Numer. Anal., 20(3), 389-403, 2000
D W Robinson & A F M ter Elst
Second-order subelliptic operators on Lie groups I: Complex uniformly continuous principal coefficients
Acta Appl. Math., 59(3), 299-331, 1999
D W Robinson & A F M ter Elst
Second-order subelliptic operators on Lie groups II: Real measurable principal coefficients. Semigroups of operators: theory and applications (Newport Beach, CA, 1998),
Progr. Nonlinear Differential Equations Appl., 42, 103-124, 2000
A Ruckstuhl & A H Welsh
Reference band for nonparametrically estimated link function
J. Comput. Graphical Statist., 8, 699-714, 1999
A Ruckstuhl, A H Welsh & R J Carroll
Nonparametric function estimation of the relationship between two repeatedly measured variables
Statist. Sinca, 10(1), 51-71, 2000
E Spedicato & Z F Li
On some classes of iterative ABS-like methods for large-scale linear systems
In: Recent Trend in Numerical Analysis, L Brugnano and D Trigiante (Editors), 2000
E P Stephan & T Tran
Domain decomposition algorithms for indefinite weakly singular
integral equations: the h and p versions
IMA J. Numerical Analysis, 20, 1-24, 2000
S E Stern & A H Welsh
Likelihood inference for small variance components
Canad. J. Statist., 28(3), 517-532, 2000
T Tran
Overlapping additive Schwarz preconditioners for boundary element methods
J. Integral Equations Appl., 12(2), 177-207, 2000
T Tran & E P Stephan
Additive Schwarz algorithms for the p version of the Galerkin boundary element method
Numer. Math., 85, 433-468, 2000
N S Trudinger & X-J Wang
The Bernstein problem for affine maximal hypersurfaces
Invent. Math., 140(2), 399-422, 2000
J Urbas
A note on the contact angle boundary condition for Monge-Ampčre equations
Proc. Amer. Math. Soc., 128(3), 853-855, 2000
J Urbas
Some interior regularity results for solutions of Hessian equations
Calc. Var. Partial Differential Equations, 11(1), 1-31, 2000
J Urbas
An interior curvature bound for hypersurfaces of prescribed k-th mean curvature
J. Reine Angew. Math., 519, 41-57, 2000
A H Welsh, R B Cunningham & R L Chambers
Methodology for monitoring the abundance of rare animals: Seabird nesting on North East Herald Cay
Biometrics, 56, 22-30, 2000
A H Welsh
Counting seabird nest on NE Herald Cay
Statist. Soc.Aust. Inc. Newsletter, 91, 1-3, 2000
J Wicks & S R Wilson
Evaluating linkage and linkage disequilibrium: use of excess sharing and transmission disequilibrium methods in affected sib pairs
Annals of Human Genetics, 64, 419-432, 2000
J Wicks
Exploiting excess sharing: a more powerful test of linkage than the transmission/disequilibrium test
American Journal of Human Genetics, 66, 2005-2008, 2000
S R Wilson
The Australasian Region celebrates 50 years
Biometric Bulletin, 17(3), 14-15, 2000
Articles in Conference proceedings
R J Baxter
Direction in the star-triangle relations
In: Statistical Physics on the Eve of the 21st Century, M T Batchelor and L T Wille (Editors), World Scientific, Singapore, 1999, 505-512
D J Daley & R A Vesilo
Long range dependence of inputs and outputs of some classical queues
In: Proc. Workshop on Analysis and Simulation of Communication Networks, 1998, David R McDonald and Stephen R E Turner (Editors), American Mathematical Society,
Fields Inst. Commun., 28, 179-186, 2000
L Grosz
On the implementation of algebraic mult-level methods on vector and parallel-vector computers. New methods in applied and computational mathematics (Hervey Bay,1998).
In: Proc. Centre for Math. Appli., ANU, 38, 1-15, 2000
A V Isaev & S G Krantz
Characterization of Reinhardt domains by their automorphism groups
In: Proc. 3rd Korean Several Complex Variables Symposium, Seoul, Korea, December 1998
J. Korean Math. Soc., 37(2), 297-308, 2000
W Polasek & S Liu
Testing constraints and misspecification VAR-ARCH models
In: Proc. IFCS-2000: Data Analysis, Classification, and Related Methods, Henk A L Kiers, Jean-Paul Rasson, Patrick J F Groengen and Martin Schader (Editors), Belgium, July 2000
Springer-Verlag, 261-266, 2000
CMA proceedings
NEMACOM - New Methods in Applied and Computational Mathematics Workshop, (Queensland, July, 1998), Roderick Melnik (Southern Queensland), Suely Oliveira (Iowa) and David Stewart (Iowa), (Editors),. Proceedings of the Centre for Mathematics and its
Applications, ANU, Volume 38, 2000.
Research reports
(Mathematics)
A Vaknin
Virtual triangles
N Dungey, A F M ter Elst & D W Robinson
On second-order almost-periodic elliptic operators
I H Sloan & T Tran
The Tolerant Qualocation Method for Variable-Coefficient Elliptic
R Kress & T Tran
Inverse Scattering for a Locally Perturbed Half-Plane
B Andrews & M Feldman
Nonlocal geometric expansion of convex plane curves
B Andrews
Non-convergence and instability in the asymptotic behaviour of curves evolving by curvature
M F Newman
A still unsettled question
A Hassell & A Vasy
The resolvent for Laplace-type operators on asymptotically conic spaces
M R Osborne & G A Watson
Direct descent methods for minimizing objective functions of support vector egression type
M Cowling & A Sikora
A spectral multiplier theorem for a sublaplacian on SU(2)
Y Fang & J-F Hwang
New Examples of Reflectively Symmetric Minimal Surfaces Bounded by Parallel Straight Lines
B H Neumann
Some semigroup laws in groups
A Vaknin
Determinants in triangulated categories
G B Campbell
Dirichlet series analogues of q-series
T Tran & T-B Duong
A Posteriori Error Estimation with the Element Method of Lines for a Nonlinear Parabolic Equation in One Space Dimension
N S Trudinger & X-J Wang
Hessian Measures III
N S. Trudinger & X-J Wang
On the Monge mass transfer problem
N S. Trudinger & X-J Wang
On the Weak continuity of elliptic operators and applications to potential theory
N Gavioli, V Monti & D S Young
Metabelian thin Lie algebras
L Grosz
On Residual Smoothing in ILUM-type Preconditioning
P J Vassiliou
An Integrable System of Partial Differential Equations on the Complex Projective Group
A V Isaev & N G Kruzhilin
Effective Actions of the Unitary Group on Complex Manifolds
N S Trudinger
Glimpses of nonlinear partial differential equations in the twentieth century. A priori estimates and the Bernstein
C Zoppou & S G Roberts
Explicit Schemes for Dam-Break Simulations
S R Wilson
Epistasis and its Possible Effect on Transmission Disequilibrium Tests
(Statistics)
L Cavalier & A B Tsybakov
Sharp adaptation for inverse problems with random noise
A B Tsybakov
Adaptive estimation for inverse problems: a logarithmic effect
I Johnstone
Thresholding and oracle inequalities for weighted
chi2
I M Johnstone
Chi-square oracle inequalities
J Wicks & S R Wilson
Evaluating linkage and linkage disequilibrium: Use of excess sharing and transmission disequilibrium methods in affected sib pairs
J Gani
Patterns in Sequences of Random Events
J Gani
The Maki-Thompson Rumour Model: A Detailed Analysis
Gregory Derry
What Science is and How it works
Reviewer: M T Batchelor
The Physicist 37(4):149, 2000
Book chapters
J E Hutchinson
Deterministic and random fractals, In: Bossomaier & Green
Complex Systems
127-166, Cambridge Univ.Press, Cambridge, 2000
S Vennes, C S Bowyer and J J Drake
Extreme Ultraviolet Astronomy, In: Burbidge, Sandage & Shu
Annual Review of Astronomy and Astrophysics
38:231-288, 2000
Journal articles
M T Batchelor, J de Gier, J Links & M Maslen
Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras
J. Phys. A: Math & Gen, 33:L97-L101, 2000
M T Batchelor, R V Burne, B I Henry & S D Watt
Deterministic KPZ model for stromatolite laminae
Phys. A, 282:123-136, 2000
M T Batchelor & M Maslen
Ground State energy and mass gap of a generalised quantum spin ladder
J. Phys. A: Math & Gen, 33:443-448, 2000
M T Batchelor, J de Gier & M Maslen
Phase diagram of the su(8) quantum spin tube
Phys. Rev. B, 61:15196-15202, 2000
M T Batchelor & J de Gier
Magnetization plateaus in a solvable 3-leg spin ladder
Phys. Rev. B, 62:R3584-R3587, 2000
J Cossey & T Hawkes
Sets of p-powers as conjugacy class sizes
Proc. Amer. Math. Soc., 128:49-51, 2000
J Cossey & T Hawkes
On the largest conjugacy class size in a finite group
Rend. Sem. Mat. Univ. Padova, 103:171-179, 2000
L Ferrario
Contribution from the ballistic stream to the line emission in AM Herculis systems.
New Astronomy Reviews, 44:47-48, 2000
L Ferrario, P F L Maxted, T R Marsh & D T Wickramasinghe
Magnetic White Dwarf WD1953-011: a Magnetic White Dwarf with peculiar field structure
Monthly Notices Roy. Astronom. Soc., 315:L41-L44, 2000.
L Ferrario & D T Wickramasinghe
Magnetism in isolated and Binary White Dwarfs
PASP, 112:873-924, 2000
L Ferrario & D T Wickramasinghe
Accretion and magnetic field structure in AM Herculus systems
New Astronomy Reviews, 44:69-74, 2000
J Hutchinson & Y Tonegawa
Convergence of phase interfaces in the Van der Waals-Cahn-Hilliard theory
Calc. Var. Partial Differential Equations, 10:49-84, 2000
J Hutchinson & L Ruschendorf
Random fractals and Probability metrics
Adv. in Appl. Probab., 32, issue 4, 2000
R Loy, C J Read, V Runde & G A Willis
Amenable and weakly amenable Banach algebras with compact multiplication
J. Funct. Anal., 171:78-114, 2000
S Vennes, A Kawka, J Dupuis & R Koch
The 0.3 Day DA Plus dMe Binary BPM 6502
The Astron Journal, 120:3250-3254, 2000
S Vennes, E F Polomski, T Lanz, J R Thorstensen, P Chayer & T R Gull
Hubble Space Telescope Imaging Spectrograph Observations of the Hot White Dwarf in the Close Binary Feige 24
The Astrophys Journal, 544:423-436, 2000
S Vennes, J L Provencal, H L Shipman & P Thejll
Carbon and Hydrogen in Hot DB White Dwarfs
The Astrophys Journal, 542:1041-1056, 2000
S Vennes, T Berghoefer & J Dupuis
What is the Nature of the Spectroscopic Companion of the Early B Star 1 Sco?
The Astrophys Journal, 538:854-861, 2000
S Vennes, J Dupuis, P Chayer, D J Christian & J Kruk
Adding more mysteries to the Hot White Dwarf GD 394
The Astrophys Journal, 537:977-992, 2000
S Vennes
Orbital Elements of the Double B Star HR 2875
Astronom. and Astrophys., 354:995-998, 2000
D Wickramasinghe & W El-Khoury
Accretion disc models for AM Canum Venaticorum systems
Astron. and Astrophys., 358:154-168, 2000
D Wickramasinghe, J Murray & B Warner
Superhumps in systems with intermediate mass ratios
New Astronomy Reviews, 44: 51-56, 2000
D Wickramasinghe, J Murray & B Warner
Eccentric discs in binaries with intermediate mass ratios: superhumps in the VY Sculptoris stars
Monthly Notices Roy. Astronom. Soc., 315:707-712, 2000
D Wickramasinghe, D A H Buckley, M Cropper, K van der Heyden & S Potter
Polarimetry and spectroscopy of RX J1141.3-6410: a single-pole AM Her system
Monthly Notices Roy. Astronom. Soc., 318:187-194, 2000
D Wickramasinghe, L Ferrario, P F L Maxted & T R Marsh
WD1953-011: a magnetic white dwarf with peculiar field structure
Monthly Notices Roy. Astronom. Soc., 315:L41-L44, 2000
Articles in Conference proceedings
M T Batchelor
The integrable open XXZ chain with broken Z2 symmetry, In: Proceedings of the 22nd International Colloquium on Group Theoretical Methods in Physics, S.P. Corney et al editors, 261-265, International Press, 1999
M T Batchelor & K A Seaton
E8, E7 and E6 symmetries in the dilute AL lattice model, In: Proceedings of the 22nd International Colloquium on Group Theoretical Methods in Physics, S.P. Corney et al edi
tors, 274-278, International Press, 1999
M T Batchelor
Some applications of exactly solvable models in statistical mechanics, In: Yang-Baxter Systems, Nonlinear Models and their Applications, B.K. Chung, Q-Han Park and C. Rim editors, 48-52, World Scientific, 2000
M T Batchelor, B I Henry & S D Watt
Form and scaling of radial growth, In: Statistical Physics, M. Tokuyama and H.E. Stanley editors, 521-529, AIP Conference Proceedings 519, 2000
J Hutchinson & L Ruschendorf
Selfsimilar fractals and selfsimilar
random fractals, In: Fractal geometry and Stochastics II, C Bandt, S Graf and M Zahle editors, 46:109-124 Progress in Probability
Research reports
E A Ormerod
Finite p-groups in which every cyclic subgroup is 2-subnormal
C Zoppou & S G Roberts
Explicit Schemes for Dam-Break Simulations
PDE and Analysis Seminar
(Organiser: B Andrews)
Twenty-two seminars were held.
Maths Physics Seminar
(Organiser: M T Batchelor)
Three seminars were held.
Statistics Seminar
(Organisers: K-H Kang, M-C Hong)
Twenty seminars were held
SMS Colloquium
(Organiser: A Hassell)
Eighteen colloquia were held
Geometry and Analysis Seminar
(Organiser: J E Hutchinson)
Seventeen seminars were held
Advanced Computation Seminar
(Organiser: S G Roberts)
One seminar was held
Graduate Students Analysis Seminar
(Organiser: J Clutterbuck)
Nine seminars were held
4th Year Honours Students Seminar
(Organiser: J E Hutchinson)
Ten seminars were held
Special seminars, workshops and talks
A personal and very biased history of the mathematical theory of knots
(Speaker: Professor Vaughan Jones, U. C. Berkeley)
15 February
Analysis of Spatio-Temporal Data
(Organisers: P G Hall, A H Welsh, S R Wilson)
11-14 September
Celebrating Bob Bryce's 60th Birthday
(Organiser: L G Kovács)
17-18 November
Why Mathematics Matters - Exploring ideas and their applications
(Organisers: J M Gani, C E Praeger, I Sloan)
24-25 November
Colloquia
The quantum dodecahedron
(Speaker: Professor Vaughan Jones, U. C. Berkeley)
16 February
A 1 credit course on the history of statistics
(Speaker: Professor H David, Iowa State University)
1 March
Financial Filtering
(Speaker: Professor Robert Elliott, University of Alberta)
23 March
Smoothness at infinity and geometric scattering
(Speaker: Professor Richard Melrose, MIT)
30 March
Algebraic algorithms for differential system
(Speaker: Dr Liz Mansfield, University of Kent)
6 April
Toroid Formation by DNA and other Polymers
(Speaker: Dr. David Williams, Department of Applied Mathematics)
13 April
My Life as a Codes Buster
(Speaker: Professor Brendan McKay, Department of Computer Sciences)
11 May
Control of wave equations via geometry.
(Speaker: Professor Robert Gulliver, University of Minnesota)
18 May
Deforming geometric objects with nonlinear heat equations
(Speaker: Dr Ben Andrews, SMS)
22 June
A visual notation for rationals mod 1
(Speaker: Julie Tolmie, SMS)
6 July
Determinants and critical metrics
(Speaker: Professor Kate Okikiolu, UC San Diego)
13 July
Determinants and quantum field theory
(Speaker: Professor Graeme Segal, Oxford University)
3 August
A Game Theoretical Model of International Fishing
(Speaker: Professor Ferenc Szidarovszky, University of Arizona)
10 August
Mathematical Sciences and Bioinformation Science: A personal perspective
(Speaker: Professor Sue Wilson, SMS)
17 August
Computational Mathematics and Data Mining
(Speaker: Dr Markus Hegland, RSISE)
21 September
From Menet Khufu to quanta through Rijndael: a short trip into fubswrorjb
(Speaker: Dr Giuseppe Jurman, SMS)
19 October
Bounded symmetric domains in finite and infinite dimensions.
(Speaker: Professor Wilhelm Kaup, University of Tübingen)
16 November
Fluctuation theory for Levy processes
(Speaker: Professor Ron Doney, University of Manchester)
30 November
Quotients of symplectic manifolds by group actions, and moduli spaces
(Speaker: Professor Frances Kirwan, Oxford University)
7 December
Application of Counting Number of Integral Points in Tetrahedra
(Speaker: Professor Stephen Yau, University of Illinois at Chicago)
14 December
R J Baxter: Statistical Mechanics Meeting 2000, U of Melbourne, 26-29 November and Australia and New Zealand Industrial and Applied Mathematics Society, Charles Sturt U, 8 December.
H S Booth: (invited speaker) Mathematics and Art, Bond University, 10-12 December.
J M Gani: Joe Moyal Lectures, Macquarie U, 18-20 June; 15th Australian Statistical Conference, U of Adelaide, 3-7 July.
P G Hall: 15th Australian Statistical Society Conference, Adelaide, 3-7 July.
C C Heyde: (invited speaker) 15th Australian Statistical Society Conference, Adelaide, 3-7 July and (invited speaker) Quantitative Methods in Finance and Bernoulli Society 2000 Conference, UTS, Sydney, 4-9 December.
F Huang: 15th Australian Statistical Society Conference, Adelaide, 3-7 July.
G Jurman: 44th Annual Conference of the Australian Mathematical Society, U of Queensland, 2-5 July and 18th Victorian Algebra Conference, Latrobe U, 23-24 November.
K-H Kang: 15th Australian Statistical Society Conference, Adelaide, 3-7 July.
S Liu: Quantitative Methods in Finance and Bernoulli Society 2000 Conference, UTS, Sydney, 4-9 December.
A Neeman: (invited speaker) 44th Annual Conference of the Australian Mathematical Society, U of Queensland, 2-5 July and (invited speaker) 18th Victorian Algebra Conference, Latrobe U, 23-24 November.
B H Neumann: Joe Moyal Memorial Lecture, Macquarie U, 19 June; 44th Annual Conference of the Australian Mathematical Society, U of Queensland, 2-5 July and AGRAM 2000, U of Western Australia, 7-14 October.
D W Robinson: (invited speaker) 44th Annual Conference of the Australian Mathematical Society, U of Queensland, 2-5 July and (invited speaker) Mathematical Physics Workshop, Coolangatta, 6-19 July.
A H Welsh: (invited speaker) 15th Australian Statistical Society Conference, Adelaide, 3-7 July.
Overseas conferences
B H Andrews: (invited speaker) Joint Australia-Taiwan conference on Analysis and its Applications, Taipei, 13-19 April.
R J Baxter: (invited speaker) Asia Pacific Conference for Theoretical Physics, Seoul, Korea. 26-29 June.
D J Daley: Spatial Statistics, Technical University, Freiburg, July; Spatial Statistics, University of Lancaster (Charlotte Mason College), September.
P G Hall: 5th World Congress of the Bernoulli Society, Guanajuato, Mexico, 15-20 May; (invited speaker) Goodness for Fit Conference, U of Paris, 29-31 May; (invited speaker) Workshop on Nonparametric Curve Estimation, Santiago de Compostela, 10-14; (i nvited speaker) 5th Iranian Statistics Conference, Esfahan, 22-24 August; (invited speaker) Conference in honour of C R Rao's 80th birthday, Calcutta, 28-31 December.
A W Hassell: Conference in honour of Gerard Friedlander, MIT, Cambridge, Massachusetts, 29-30 September.
C C Heyde: (invited speaker) Conference on Statistics, Science and Public Policy, Herstmonceaux Castle, UK 26-29 April; Conference in honour of V Benes, Columbia University, NY, USA, 4 May; Applied Probability Day, Columbia University, NY, USA, 5 May; (invited speaker) International Symposium on Inference for Stochastic processes, Athens, Georgia, USA, 10-12 May; 5th World Congress of the Bernoulli Society, Guanajuarto, Mexico, 15-20 May; (invited speaker) International Conference on Mathematics in the New Millenium, Seoul, Korea, 20-21 October.
M-C Hong: Partial Differential Equations and their Applications to Geometry and Physics Conference, Castelvecchio Pascoli, Italy, 17-22 June.
A V Isaev: (invited speaker) Conference on Holomorphic Mappings, American Institute of Mathematics, Palo Alto, California, 31 July - 6 August.
V V Mangazeev: Asia Pacific Conference for Theoretical Physics, Seoul, Korea, 26-29 June and XIII International Colloquium on Group Theoretical Methods in Physics, ICGTMP-2000, Dubna, Russia, 31 July - 5 August.
A G R McIntosh: Joint Taiwan Workshop on Analysis and Applications, Academia Sinica, Taipei, Taiwan, 15-20 April; EDP Non-Linéaires Conférence, Amiens, France, 29 May and International Conference on Clifford Analysis, Prague, Czech Republic, 30 October - 3 November.
A Neeman: (invited speaker) Ontario Topology Conference, University of Western Ontario, 14-15 October and (invited speaker) British Topology Meeting, Sheffield University, 6 November.
B H Neumann: ANZIAM Summer Conference, Waitangi, New Zealand, 8-12 February; (invited speaker) Annual Meeting of the British Society for the History of Mathematics, London, UK, 21 December and Workshop (invited speaker) on Issai Schur, Weizmann Institut e, Rehovoth, Israel, 27-31 December.
M F Newman: (invited speaker) MSRI Workshop on Combinatorial Algebra Information, Berkeley, California, USA, 9-16 January and (invited speaker) Teoria dei gruppi e applicazioni, Milano-Bicocca, Italy, 26-28 January.
D W Robinson: ANZIAM Summer Conference, Waitangi, New Zealand, 8-10 February.
J I E Urbas: (invited speaker) Workshop on Minimal Surfaces, University of Bonn, Germany, 2-4 June.
N S Trudinger: (invited speaker) Tenth Tokyo Conference on Partial Differential Equations, Tokyo, 30-31 January; (invited speaker) Conference on Partial Differential Equations for the 70th Birthday of Sergio Campanato, Pisa, 25-26 February; (invited sp eaker) International Conference on Fundamental Sciences Mathematics and Theoretical Physics, Singapore, 13-17 March; (organiser) Taiwan Australia Workshop on "Analysis and Applications", Taipei, 15-19 April; (invited speaker) Conference on Nonlinear Pa rtial Differential Equations, Ascona, Switzerland, 12-16 June; (invited speaker) EURESCO Conference: Mathematical Analysis - Applications of Partial Differential Equations to Geometry and Physics, Castelvecchio Pascoli, Italy, 17-22 June; (invited spea ker) Humboldt Annual Meeting, Bonn, 22-23 June; Conference on Partial Differential Equations, Tübingen, Germany, 29-30 June and (invited speaker) Conference on Analysis and Control of Deterministic and Stochastic Evolution Equations, Bressanone-Brixen, I taly, 6-7 July.
X-J Wang: (invited speaker) Australian-Taiwan Mathematics Conference, Taipei, Taiwan, 15-19 April; (invited speaker) International Conference on Algebra Geometry, Tianjin, China, 9-15 October; Geometry Workshop, Tianjin, China, 26-29 October; (invit ed speaker) AMS-Hong Kong Mathematics Society joint meeting, Hong Kong, 13-16 December and (invited speaker) International Conference in memory of L K Hua, Beijing, China, 18-21 December.
S R Wilson: (Organizing President, speaker) International Biometric Conference, Berkeley, California, USA, 1-7 July.
Overseas OSP and PDP
B H Andrews: Stanford University, 20 April - 10 May.
D J Daley: GTE Labs, Waltham, USA 14-22 February; APTrust, UK 22-25 February; University College, London, 25 February - 2 March; National Institute of Statistical Science, North Carolina, USA 2-10 March; UCLA, USA 10-12 March; (Humboldt Award) U of Munich, 7 May - 25 August.
Y Fang: Institute of Mathematics Academia Sinica, Taiwan 1 March - 12 April.
J Gani: University of Sheffied, UK, 10-14 April; University of Newcastle-on-Tyne, UK, 16-17 April; Université Libre de Bruxelles, Belgium, 24-26 April; University of Kiel, Germany, 26-28 April and University of Karlsruhe, Germany, 1-3 May.
P G Hall: University of Toronto and Florida State University, Tallahassee, 16 October - 7 November.
C C Heyde: University of Waterloo, Canada, 8-9 May.
M-C Hong: Scuola Normale Superiore, Pisa, Italy, 7-16 June.
A V Isaev: University of Illinois, Urbana-Champaign, 2-6 February; Washington University, St Louis, 7-25 February.
L G Kovács: Mathematisches Forschungsinstitut, Oberwolfach, Germany, 21 May - 17 June; University of Padova, Italy, 25 June - 2 July and Scuola Matematica Interuniversitaria, Cortona, Italy, 2-22 July.
V V Mangazeev: Institute for High Energy Physics, Protvino, Russia, 15-30 July.
A G R McIntosh: Academia Sinica, Taipei, Taiwan, 11-21 April; University of Missouri, Columbia, USA 21 April - 1 May; Université de Picardie Jules Verne, Amiens, France, 15 May - 15 June; Universität Tübingen, Germany, 20-22 October; Universität Karls
ruhe, Germany, 22-25 October and Matematicky Ustav, Akademie, Czech Republic, 25-27 October.
A Neeman: National University of Singapore, 1-30 March; Stanford University, 9-10 October; University of Western Ontario, 11-15 October; Purdue University, 16-17 October; University of Illinois (Urbana-Champaign), 18-22 October; MIT, 23-24 Octob
er; Universität Bielefeld, 25-29 October; Université de Paris 7, 30-31 October; Aarhus Universitét, 1-2 November; University of Edinburgh, 3 November; University of Sheffield, 6-7 November and Tel Aviv University 14-16 November.
M F Newman: University of Trento, Italy, 25 January - 19 February and University of Urbana, Illinois, USA, 27 November - 8 December.
D W Robinson: Eindhoven University of Technology, The Netherlands, 18 February - 4 March and 17 November - 4 December.
N S Trudinger: Tokyo Metropolitan University, 25 January - 6 February; Scuola Normale superiore, Pisa, 22-29 February; Academica Sinica, Taipei, 14-21 April; (Humboldt Award) University of Tübingen, 5 June - 28 July; Technical University, Berlin, 3-5 July; (colloquium) University of Ulm, 11 July; Morningside Centre, Chinese Academy of Sciences, Beijing, 29 July - 5 August; Ordway Distinguished Visitor, University of Minnesota, 5 October - 4 November; (colloquium) Brown University, 19-21 October; (seminars) Rutgers University, Princeton University, 25-28 October; (colloquium) University of California, Irvine, 28 October - 1 November and (colloquium) Northwestern University, 2 November.
J I E Urbas: University of Bonn, Germany, 4 April - 30 June.
X-J Wang: Institute of Mathematics, Academia Sinica, Taipei, Taiwan, 10-21 April; Fudan University, Shanghai, China, 17-23 September; Zhejiang University, Hangzhou, China, 24-31 September; Nankai University, Tianjin, China, 1 October - 1 November; Pek ing University, Beijing, China, 2-5 November; The Chinese University of Hong Kong, 11-17 December; and Institute of Mathematics, Academia Sinica, Beijing, China, 18-24 December.
A H Welsh: EPFL, Switzerland, 2-5 February and University of Southampton, UK, 5-10 February.
Student travel
A K Axelsson: 44th annual Conference of the Australian Mathematical Society, U of Queensland, 2-5 July.
A Basile: 44th Annual Conference of the Australian Mathematical Society, U of Queensland, 1-7 July.
M J Dobbie: International Biometric Conference, Berkeley, California, 2-7 July.
N M Dungey: Lie 2000: Lie Groups, Algebraic Groups, Quantum Groups and their Representations, U of Adelaide, 2-9 December.
D S Hirst: 15th Australian Statistical Society Conference, Adelaide, 3-7 July.
Z Lou: 44th Annual Conference of the Australian Mathematical Society, U of Queensland, 1-7 July.
C Rau: 15th Australian Statistical Society Conference, Adelaide, 3-7 July and Colloquium talk given at Statistics Department, Wharton School, University of Pennsylvania, Philadelphia, USA, 18-20 September.
B J Whiting: 15th Australian Statistical Society Conference, Adelaide, 3-7 July.
J Wicks: 47th Annual Meeting of the Genetics Society of Australia, ANU, 3-7 July and the Inaugural Centre for Bioinformation Science Workshop, ANU, 16-17 November.
B H Y Wong: Quantitative Methods in Finance and Bernoulli Society 2000 Conference, UTS, Sydney, 4-9 December.
D S Young: University of Trento, Italy, 16 February - 12 March; University of Rome and University of L'Aquila, Italy, 13-26 March; 44th Annual Conference of the Australian Mathematical Society, U of Queensland, 2-5 July and 18th Victorian Algebra Confe rence, Latrobe U, 24-25 November.
R A Bryce: Latrobe University, 23-24 November, 18th Victorian Algebra Conference.
P J Cossey: AGM, Australian Mathematical Society, Brisbane 1-6 July; Melbourne, 23-24 November, Victorian Algebra Conference.
A A T Howe: Brisbane, Queensland, 1-6 July, 2000 Annual Conference of the Australian Mathematical Society.
E A Ormerod: Melbourne, 23-24 November, Victorian Algebra Conference.
N F Smythe: University of Sydney, 4-5 February, Higher Ed Solutions Conference. University of Wollongong, April, AUC Academic Conference.
S Vennes: Hobart, 2-7 July, Australian Astronomical Society.
Overseas conferences
M T Batchelor: Seoul, 26-29 June, Exactly Solvable Models of Statistical Mechanics and Mathematical Physics (joint organiser), Asia Pacific Centre for Theoretical Physics, Talk 1: Common criticality in the dilute A4 model and the tri
critical Ising model, Talk 2: Magnetization curves for solvable spin ladders.
B Davies: San Jose, 15-19 May, Apple World Wide Developers Conference.
A A T Howe: New Zealand, 7-12 February, ANZIAM Conference, Waitangi.
S G Roberts: Taipei, 15-19 April, Invited speaker, Australian-Taiwan Joint Workshop on Analysis and Applications.
N F Smythe: San Jose, 15-19 May, Apple World Wide Developers Conference.
S Vennes: Honolulu, 6-10 November, High Energy Astrophysics Division.
Overseas OSP and PDP
M T Batchelor, USA, Sept-Oct.
R A Bryce: University of Florence, 26 February - 30 April, University of Warwick, 1-31 May, England, 1-11 June.
B Davies: Paris, 7 September - 8 October.
R J Loy: Uni. Newcastle, Australia, 1 February - 6 May, Uni. Oregon & Alberta USA & Canada, 7 May - 30 June.
S Vennes: USA, January-February, Observations at Lick Observatory and Kitt Peak National Observatory.
D T Wickramasinghe: UK, March-April, Institute of Astronomy, University of Cambridge.
Other Colloquia - Australia
M T Batchelor: University of Queensland, 31 July, Exactly solvable lattice models and combinatorics
M T Batchelor: Latrobe University, 3 November, The ice model and alternating sign matrices
Other Colloquia - Overseas
M T Batchelor: Seoul, 8 & 15 April, Introduction to R-matrices and solvable quantum spin chains, Asian-Pacific Centre for Theoretical Physics
M T Batchelor: Seoul National University, 10 April, Exactly solvable quantum spin ladders
M T Batchelor: Korea, 12 April, Introduction to R-matrices and solvable quantum spin chains, Pohang Superconductivity Center
M T Batchelor: Korea, 14 April, Recent progress on exactly solvable quantum spin ladders, Pukyong University
M T Batchelor: Korea, 21 June, The Ising model in a magnetic field, Pohang Superconductivity Centre
M T Batchelor: Korea, 22 June, Surprises on the way from one- to - two dimensional quantum magnets: the ladder materials, Postech
M T Batchelor: Berkeley, 12 September, On representations of the Temperley-Lieb algebra and solvable quantum spin chains and ladders
M T Batchelor: Florida Atlantic University, 29 September, Quantum spin ladders
M T Batchelor: University of Miami, 2 October, Integrable quantum spin ladders
M T Batchelor: Harvard, 19 October, Fractional magnetization plateaux in exactly solvable quantum spin ladders
Student travel
M Maslen: AustMS2000 Workshop, Univ. Qld, 2-5 July; Mathematical Physics Workshop, Univ. Qld 7-9 July; Statistical Mechanics Meeting 2000, Univ. Melb, 27-28 November
C Wetherell: AustMS2000 Workshop, Univ. Qld, 2-5 July
T Jarso: Eighteenth Victorian Algebra Conference, Latrobe Univ. 23-24 November
Clifford Algebras and the Dirac equation - H S Booth with P Jarvis and G Legg (Tasmania)
Hand-in traffic in mobile phone systems - D J Daley with L D Servi (GTE Laboratories Inc., Waltham, USA)
Long rang dependence properties of point processes - D J Daley with R Vesilo (Macquarie University)
Sub-exponentiality properties of network systems - D J Daley with Professor C Kluppelberg (Technical University Munich) and A Baltrünas (Math Institute, Vilnius, Lithuania)
Epidemic Modelling - D J Daley with J Gani
On anomalous asymptotics of heat kernels on groups of polynomial growth - N Dungey with D Robinson and T ter Elst (Eindhoven University of Technology)
Minimal surfaces theory - Dr Y Fang with J-F Hwang (Academia Sinicia, Taipei)
Epidemic models - J M Gani with D J Daley and S B Barnes (ADFA)
On patterns in sequences in random events - J M Gani with A Irle (Kiel)
Skewing methods - P G Hall with M-Y Cheng (National University of Taiwan) and J Fan (UCLA)
Stereology - P G Hall with A Feuerverger, (Toronto)
Testing for monotonicity - P G Hall with I Gijbels (Université Catholique de Louvain), N E Heckmann (University of British Columbia) M C Jones (Open University, UK) and I Koch (Newcastle, NSW)
Confidence intervals - P G Hall with S M S Lee (Hong Kong)
Biased bootstrap - P G Hall with Y Maesono (Kyushu, Japan) and B Presnell (Florida)
Periodic function estimation - P G Hall with Rice (Berkeley)
Methods for extreme values - P G Hall with N Tajvidi (Lund, Sweden)
Confidence intervals - P G Hall with A Young (Cambridge, UK)
Legendrian distributions on manifolds with corners - A W Hassell with R Melrose and Dr A Vasy (MIT, Cambridge, USA)
Schrödinger kernel - A W Hassell with J Wunsch (Columbia)
Ergodicity of eigenvalues - A W Hassell with S Zelditch (Johns Hopkins University)
History of Statistics - C C Heyde with E Seneta (Sydney)
Risky asset modelling - C C Heyde with R Gay (Monash) and A Lim (Columbia)
University, USA.
Long-range dependence - C C Heyde with V V Anh (QUT)
Heavy tails - C C Heyde with V V Anh (QUT)
Intermittency - C C Heyde with V V Anh (QUT)
Discrimination between non-nested families of models - C C Heyde with M Markatou (Columbia)
Quasi-likelihood - C C Heyde with R Morton (CSIRO, Canberra)
Partial regularity of minimizers in the calculus of variations - M-C Hong with M Giaquinta (Pisa)
Spatial statistics - F Huang with Y Ogata (The Institute of Statistical Mathematics, Tokyo)
Actions of the unitary group on complex manifolds by biholomorphic transformations - A V Isaev with N G Kruzhilin (Steklov Mathematical Institute, Moscow)
Module structure of free Lie rings and free Lie algebras - L G Kovács with R M Bryant and Dr R Stöhr (UMIST, UK)
Minimal faithful permutation representations of finite groups - L G Kovács with C E Praeger (Western Australia)
Some exact results for the three-layer Zamologchikov model - V V Mangazeev with H Boos (Institute for High Energy Physics, Protvino, Russia)
Square root problem of Kao - A G R McIntosh with P Auscher (Université de Picardie Jules Verne, Amiens), S Hofmann (Missouri, Columbia) and P Tchamitchian (Faculté des Science, Marseille)
Spectral Theory and Functional Calculus - A G R McIntosh with X-T Duong (Macquarie) and P Auscher (Université de Picardie Jules Verne, Amiens)
Lie rings with maximal class - M F Newman with A Caranti (Trento)
Testing finite presentations for finiteness - M F Newman with G Havas (Queensland) and D F Holt (Warwick)
Soluble length of groups with prime-power order - M F Newman with S Evans-Riley (Sydney)
Groups defined by powers - M F Newman with D F Holt (Warwick)
Minimal presentations - M F Newman with G Havas (Queensland) and E A O'Brien (Auckland)
Operator algebras and mathematical physics - D W Robinson with O Bratteli (Oslo)
Elliptic and subelliptic operators on Lie groups - D W Robinson with A F M ter Elst (Technical University, Eindhoven)
Operator algebras and wavelets - D W Robinson with P E T Jřrgensen (Iowa)
A spectral multiplier theorem for a sublaplacian on SU(2) - A Sikora with M Cowling (New South Wales)
Plancherel type estimates and sharp spectral multipliers - A Sikora with X-T Duong (Macquarie) and E-M Ouhabaz (Université de Bordeaux)
Inverse scattering - T Tran with R Kress (Göttingen, Germany)
Sinc quadrature methods for Symm's equation - T Tran with R Kress (Göttingen, Germany)
Tolerant qualocation methods - T Tran with I Sloan (New South Wales)
Multiplicative Schwarz methods for boundary integral equations in two dimensions - T Tran with E Stephan (Hannover)
Discrete schemes for elliptic and parabolic equations - N S Trudinger with H-J Kuo (National Chung-Hsing University, Taiwan)
Degenerate Hessian equations - N S Trudinger and X-J Wang with N N Ivochkina (St Petersburg Institute of Civil Engineering)
Distance sampling - A H Welsh with S Barry (Bureau of Resource Science, NSW)
Canonical correlation analysis - A H Welsh with J Robinson, (Sydney)
Robust estimation for finite populations - A H Welsh with A Y C Kuk (Singapore)
Robus fitting of a binomial model - A H Welsh with A F Ruckstuhl (Winterthur, Switzerland)
One stop estimation - A H Welsh with E Ronchetti (Geneva)
Local regression for vector responses - A H Welsh with T W Yee (Auckland)
Marginal longtitudinal nonparametric regression - A H Welsh with X Lin and R J Carroll (Texas)
Testing for linearity - A H Welsh with A Azzalini (Padua)
Nonlinear, heteroscedastic data with extra zeros - A H Welsh with A Zhou (Indiana)
Analysis of HIV/AIDS surveillance data - S R Wilson with P J Solomon (Adelaide)
Analysis of methadone retention - S R Wilson with G Bammer (NCEPH, ANU)
On determining the genes for susceptibility to multiple sclerosis - S R Wilson with G Stewart and B Bennetts (Westmead Hospital, Sydney)
Determining the genetic basis of Crohn's disease - S R Wilson with J Cavanaugh and P Pavli (The Canberra Hospital) and D Callen (Women's and Children's Hospital, North Adelaide)
The effects of compositional heterogeneity on phylogenetic analyses and subsequent estimates of sequence divergence - S R Wilson with L Jermiin (Sydney) and S Easteal, (JCSMR, ANU)
Bioinformation science - S R Wilson with S Easteal and G Huttley (JCSMR, ANU)
Development of statistical methodology for analysing population genetic variation at the molecular level - S R Wilson with G Huttley (JCSMR, ANU)
Covering groups with subgroups - R A Bryce with L Serena (Florence)
Dinilpotent groups - P J Cossey with S Stonehewer (Warwick) and O Kegel (Freiburg, Germany)
Arithmetic of finite groups - P J Cossey with T Hawkes (Warwick)
Properties of finite soluble groups - P J Cossey with A Ballester-Bolinches (Uni Valencia) and K Doerk (Mainz)
Products of groups - P J Cossey with A Ballester-Bolinches (Uni Valencia), C Pedraza-Aguilera (Polytechnic Uni of Valencia) and M Alejandre (Elche)
Algebraic Geometry of the chiral Potts model - B Davies with A Neeman
Modelling and observations of isolated and binary white dwarfs - L Ferrario, D T Wickramasinghe and S Vennes with G D Schmidt (Arizona)
Modelling of the peculiar magnetic white dwarf WD1953-01 - L Ferrario, D T Wickramasinghe with P Maxted and T Marsh (Southampton)
Finite Element Approximations to Solutions of Geometric Variational Problems - J E Hutchinson with G Dziuk (Freiburg, Germany)
Random Fractals - J E Hutchinson with L Ruschendorf (Freiburg, Germany)
Numerical modelling of rapidly varying flood flow - S G Roberts with C Zoppou (ACTEW)
Geophysical computational methods - S G Roberts with S Matthai (ETH)
Smoothing Methods applied to Data Mining - S G Roberts with I Altas (Charles Sturt Wagga), M Hegland (RSISE) and C Zoppou (ACTEW)
Observations with NASA's Chandra X-ray satellite and Far Ultaviolet Explorer - S Vennes with J Dupuis (Berkeley) and P Chayer (John Hopkins)
Possible progenitors of Type Ia Supernovae - D T Wickramasinghe with C Tout and E Regos (Cambridge)
P G Hall: large ARC Grant for 2 years; Theory and applications of computer-intensive statistical methods: $186,000; (for 3 years) Biased-bootstrap methods: $80,000.
C C Heyde (with V V Anh, QUT): large ARC Grant for 3 years; Statistical analysis of data with long-range dependence: $90,000; National Science Foundation, General Infrastructure Grant to the Center for Applied Probability at Columbia University: US$1 m illion.
M-C Hong: small ARC Grant for 3 years; Geometric variational and evolution problems from mathematics and physics: $7,000.
A V Isaev: small ARC Grant for 1 year; Classification problems in complex analysis and CR-geometry: $7,376; small ARC Grant for 1 year; Domains with large abelian subgroups of the automorphisms: $4,250.
H-J Kuo: National Chunghsing University, Taiwan: Australian Academy of Science/Taiwan National Science Council Exchange Visitor grant.
B H Neumann: Travel grants for attendance at Mathematics in Industry Study Group and at ANZIAM.
N S Trudinger: large ARC Grant for 3 years; Nonlinear partial differential equations and geometric applications: $63,000.
J I E Urbas: large ARC Grant for 3 years; Nonlinear and partial differential equations: $60,000.
A H Welsh: large ARC Grant for 3 years; Analysis and modelling of survey other data containing extra zeros: $164,000.
S R Wilson; NSF for IBC 2000; 1 year: $2,500.
Awarded for 2001
N M Dungey: ARC Research Fellowship Grant for 3 years; Asymptotics of heat kernels: $55,377.
P G Hall: large ARC Grant for 3 years; Theory and application of computer-intensive statistical methods: $570,000.
D W Robinson: large ARC Grant for 3 years; Asymptotics of semigroup kernels: Lie groups of polynomial growth and almost-periodic operators: $176,000.
N S Trudinger with X-J Wang: large ARC Grant for 3 years; Nonlinear elliptic equations and applications: $210,000.
S R Wilson: IAS; towards a Centre for Bioinformation Science (CBiS): $150,000.
Awards
A Basile: an Honourable Mention from the Committee which awarded the B H Neumann Prize for the best talk at the 44th Annual Conference of the Australian Mathematical Society, University of Queensland, 2-5 July, 2000.
D J Daley: Alexander von Humboldt Foundation Prize.
M J Dobbie: shared prize for the best student talk at Biometrics 99, 12-16 December, 1999.
J M Gani: Awarded Membership of the Order of Australia (AM), 26 January, for contribution to mathematical research, in particular Applied Probability and Mathematical Biology. Awarded Moyal Medal for Inaugural Moyal Lecture at Macquarie University, 19 June.
P G Hall: Elected to Fellowship of the Royal Society of London.
N S Trudinger: Distinguished Ordway Visitor, University of Minnesota.
A H Welsh: Knibbs Lecturer for the Canberra Branch of the Statistical Society of Australia Inc.
R A Bryce: FRF Grant, Finite groups and partially ordered sets: $5000.
P J Cossey: FRF Grant, The Structure of finite soluble groups: $5000.
L Ferrario: Small ARC Grant, Line and Continuum Emission from Black Hole Accretion Discs: $12,450.
R J Loy: FRF Grant, Analysis of radical algebras: $5000.
S Vennes: ARC's QEII research grant, Evolution of Isolated & Binary White Dwarfs & the origin of Cataclysmic Variables: $10500.
D T Wickramasinghe: FRF Grant, Population synthesis of interacting Binaries:$12,000.
Awarded for 2001
P J Cossey: FRF Grant, Products of finite groups. $5,200.
L Ferrario: Small ARC Grant, Theoretical modelling of spectropolarimetric observations of magnetic white dwarfs. $12,200.
J E Hutchinson: ARC Large Grant, Theoretical and Computational Investigations into Nonlinear Geometric and Physical Variational Problems: 2001-2003, $180,000; Australian-German Joint Research Co-operation Scheme 2000-2001, Numerical Algorithms for Investigating Physical and Geometric processes, 2001-2003, $12,890.
R J Loy: FRF Grant, Algebras over compact right topological groups. $5,200.
S Vennes: FRF Grant, Atmospheric properties and soft X-ray emission of white dwarfs in classical novae and implications for Galactic nucleosynthesis. $8,700.
D T Wickramasinghe: FRF Grant, Population synthesis of interacting binaries? $12,300.
R J Baxter
Member: Board, Australian National University Centre for Theoretical Physics
Program Convenor: Mathematical Physics Program
H S Booth
Member: Committee for the 2001 Australian Science Festival
Member: 2001 Australian Mathematical Society Annual General Meeting
D J Daley
Member: Board of Studies Mathematical Sciences Program
Member: Graduate Studies Committee Statistics
Member: School 4th Year Honours Committee
ANU representative: NSW Vice-Chancellors Committee of Chairs Technical Committee on Scaling
A W Hassell
Member: School Board
Member: School Library Committee
Member: Committee on General Policy, IAS
Member: Liaison Committee for the appointment of new Dean of SMS
Organiser: SMS Colloquia
Organiser: Conference on Geometric Analysis and Applications, 26-30 June
M-C Hong
Member: SMS Equity and Diversity Working Party
A V Isaev
Organiser: Conference on Geometric Analysis and Applications, June 26-30
L G Kovács
Program Convenor: Algebra Program
A G R McIntosh
Member: Board, IAS
Director: 2001 Australian Mathematical Society Annual General Meeting
Organiser: Conference on Geometric Analysis and Applications, 26-30 June
B H Neumann
Non-resident Fellow: Bruce Hall
Member: Governing Body of Bruce, Burton and Garran Halls
M F Newman
Member: SMS Computing Committee
D W Robinson
Staff representative: ANU Council (to September)
School representative: University Ethical Advisory Committee
A B Sikora
Editor: Proceedings of Centre of Mathematics and its Applications
Organiser: Conference on Geometric Analysis and Applications, 26-30 June
T Tran
Member: SMS Computing Committee
L Ferrario
Member: SMS Board of Studies Mathematical Sciences Program
Member: SMS Honours Program Committee
Member: Undergraduate Program in Astronomy and Astrophysics
Member: SMS Computing Committee
Convenor: Astronomy & Astrophysics Honours Program
Representative: Department of Mathematics at Faculty of Science
J E Hutchinson
Member (alternate): Faculties Research Grants Committee
Member: FEIT Faculty Committee
Member: Mathematics Library Acquisitions Group
Member: Sciences Library Acquisitions
Member: Electronic Publishing Focus Group
R J Loy
Member: Undergraduate Awards Committee
Member: Distinguished Scholars in Science Committee
E A Ormerod
Member: Council Committee Against Sexual Harassment
Member: IT Sponsors
Member: Faculty of Science Education Committee
Academic Adviser: Golden Key National Honour Society, ANU Chapter
S G Roberts
Representative: Faculty of Science
N F Smythe
Member: Joint Post-graduate Awards Committee
Member: Faculty of Science
Member: Faculty of Economics
Chair: ANU AUC Developer Group
H S Booth
Assistant editor, ANZIAM Journal; Reviewer, American Mathematical Society, (Mathematical Reviews).
D J Daley
Adviser/Consultant to ACT Board of Secondary Studies; Trustee and Associate editor, Applied Probability Trust and Journals.
J M Gani
Editor, The Mathematical Scientist; Managing Editor, Applied Probability Journals; member, editorial board, Utilitas Mathematica, Stochastic Analysis and its Applications, IMA Journal of Mathematics Applied in Medicine and Biology; Co
-editor (with G R Haynatzki, V R :Haynatzki and S T Rachev), Math. Comput. Modelling "Stochastic Models in Mathematical Biology", Special Volume 32, 1-2, 2000; member, Australian-French Association of Professional and Technical Specialists; Aust
ralian Academy of Science Committee on Asian Exchange Fellowships; organiser (with C E Praeger, I H Sloan, B Davies and A V Isaev), World Mathematical Year 2000 Conference, ANU, 24-25 November, 2000.
P G Hall
Member, editorial boards, Annals of Statistics, Australian and New Zealand Journal of Statistics, Econometric Theory, Journal of Statistical Planning and Inference, Korean Journal of Statistics, Probability Theory and Related Fields, Statistica Sin
ica.
C C Heyde
Board member, Australian Mathematics Trust; member, Membership Committee, International Statistical Institute; Bernoulli Society Publications Committee; Publications Committee, International Statistical Institute; Executive Committee, Graduate Sch
ool of Arts and Sciences, Columbia University; Director, Center for Applied Probability, Columbia University; trustee, Applied Probability Trust; Editor-in-Chief, Journal of Applied Probability, Advances in Applied Probability; (joint) Editor,
Australian Mathematical Society Lecture Series; Springer Series in Probability and its Applications; Associate editor, The Mathematical Scientist; Advisory Editor, Journal of Applied Mathematics and Stochastic Analysis; Reviewer f
or the National Science Foundation, National Research Council of Canada, Australian Research Council.
A V Isaev
Associate editor, Journal of Mathematical Analysis and Applications.
L G Kovács
Member, editorial boards, Journal of Group Theory and Periodica Mathematica Hungarica.
S Liu
Reviewer, Mathematical Reviews; Contributing Editor, Current Index to Statistics.
A G R McIntosh
Member, editorial board, Bulletin of the Australian Mathematical Society; Scientific Advisory Committee, International Conference on Clifford Analysis, Prague.
B H Neumann
Honorary editor, Bulletin of the Australian Mathematical Society; The Australasian Journal of Combinatorics, Algebra Colloquium (Beijing). Editor and member of editorial board, Houston Journal of Mathematics; editorial consultant, Southeast Asian Bulletin of Mathematics: Mathematical Spectrum.
M F Newman
Editorial advisor, Journal of Symbolic Computation; member, editorial board, International Journal of Algebra and Computation; Australian Mathematical Olympiad Committee; problems committee, Mathematics Challenge for Young Australian
s.
D W Robinson
Member, Research Training and Careers Committee, Australian Research Council; Steering Committee, Australian Mathematical Society; Vice-President, Australian Mathematical Society (from July); Chair, Australian Academy of Science's National Committe
e for Mathematics.
N S Trudinger
Principal organiser, Isaac Newton Institute, Programme on Nonlinear Partial Differential Equations, 2001. Member, editorial boards, The Proceedings of the Royal Society of Edinburgh, Series A; Journal of Potential Analysis; Bulletin of Australi
an Mathematical Society; Advances in Mathematical Sciences and Applications; Journal of Mathematical Analysis and Applications; Calculus of Variations and Partial Differential Equations; Nonlinear Analysis Forum; Taiwanese Journal of Mathematics and
Nonlinear Differential Equations and Applications.
A H Welsh
Member, editorial boards, Biometrics, The Annals of Statistics, The Australian and New Zealand Journal of Statistics.
S R Wilson
Vice-President, International Biometric Society (IBS); Associate editor, Annals of Human Genetics; member, editorial board, Statistical Methods in Medical Research; representative, Statistical Society of Australia, Australian Foundation
for Science; member, Technology Committee, IBS; Conference Advisory Committee, IBS; International Statistical Institute (ISI) Standing Committee for the Promotion of Statistics in the Life Sciences; editor, Biometrics Section, Encyclopedia of Life S
upport Systems; member, Institute of Mathematical Statistics (IMS) Committee on Memorials; editorial committee for the 6th edition of the ISI's Dictionary of Statistical Terms; assessor, Medical and Scientific Research Grant Applications, Anti
-Cancer Council of Victoria; organiser, International Biometric Conference, Berkeley, California; review panel of the Department of Mathematics and Statistics at The University of Western Australia.
P J Cossey
Associate Editor, Bulletin of the Australian Mathematical Society.
Member, Standing Committee of Education, Australian Mathematical Society.
Public Officer, Australian Mathematical Society.
Public Officer, AMPAI.
L Ferrario
Member, Scientific Organising Committee, International Symposium "Magnetic Fields across the H-R Diagram".
Santiago, Chile, January 2001.
A A T Howe
Treasurer, Australian Mathematical Society.
J E Hutchinson
Representative, Australian Mathematical Society, ANU.
N F Smythe
Apple University Development Fund Awards Committee
Lake Tuggeranong College presentation for maths teachers on using Maple, January 27, AUC Academic Conference, James Cook University (to be held September 2001)
Chair, Programs Committee and Editor of Proceedings.
S Vennes
Referee, Astrophysical Journal, Astronomy & Astrophysics, Publications of the Astronomical Society of the Pacific, & The Monthly Notices of the Royal Astronomical Society.
P G Hall, supervisor, Elizabeth Gilliard (PhD), David Hirst (PhD), Hong Ooi (PhD), Christian Rau (PhD), Andrew Rieck (PhD), Bronwen Whiting (PhD), Peter Johnston (MSc)
C C Heyde, supervisor, Bernard Wong (PhD); mentored T A Nguyen, Distinguished Scholar Program in Science
L G Kovács, supervisor, Alberto Basile (PhD); advisor, Annalisa Copetti (PhD)
A G R McIntosh, supervisor, Andreas Axelsson (PhD), Zengjian Lou (PhD)
A Neeman, supervisor, Andrew Brooke-Taylor (BSc Hons)
M F Newman, supervisor, Annalisa Copetti (PhD), Susan Evans-Riley (PhD) (Sydney) and David Young (PhD)
N S Trudinger, supervisor, Denis Labutin (PhD)
A H Welsh, supervisor, Veronica Boero Rodriguez (MPhil), Melissa Dobbie (PhD), James Chipperfield (MPhil) (Statistics)
S R Wilson, supervisor, Chris Stephenson (PhD) (JCSMR), Jacki Wicks (PhD)
P J Cossey, supervisor, T Jarso (PhD); J Tolmie (PhD) and C Wetherell (PhD).
B Davies, supervisor, D Ham (Honours)
L Ferrario, supervisor, M Buxton (PhD); K Manson (Hons) and R Deacon (Hons).
J E Hutchinson, supervisor, P Pozzi (PhD); A Eberhard (BSc Hons equivalent) visiting from Germany
R J Loy, supervisor, A Blanco Cedeno (PhD)
S G Roberts, co-supervisor, P Williams (Masters); co-supervisor, B Clarke (Masters)
S Vennes, supervisor, M Buxton (PhD); Rachel Deacon (Honours)
D T Wickramasinghe, supervisor, K Manson (Honours); C Harrison (Honours)
Undergraduate teaching
M T Batchelor, Non-linear modelling & chaotic behaviour (MATH2062), gave 3 lectures.
R A Bryce, Advanced Mathematics and Applications (MATH1116); Algebra 1 Honours (MATH2322)
B Davies, Mathematical Methods Honours (MATH3322); Nonlinear modelling and Chaos (MATH2062); Partial differential equations (MATH2306 & MATH2406)
L Ferrario, Mathematical Modelling with Calculus (MATH1003); Advanced Mathematics and its Applications (MATH1014/ENGN1222); Teaching innovations (funded with a grant from the ANU Faculties Strategic Planning Funds awarded to L. Ferrario and R Loy); Comput ational Astrophysics (MATH3346) offered by Professor Monaghan to ANU & Monash students via tele-link facilities with Monash University and Accretion Discs and compact stars (MATH3348) offered by Professor Wickramasinghe to ANU & Monash students via tele-l ink facilities with Monash University.
A A T Howe, Calculus and Differential Equations (MATH2305); Calculus and Differential Equations Honours (MATH2405); Engineering Mathematics 3 (ENGN2212); Systems and Control Theory (Math3110); Systems and Control Theory Honours (MATH3210); Mathematics and Applications 2 (MATH1014) and Engineering Mathematics 2 (ENGN1222).
J E Hutchinson, Mathematics and its Applications Honours 1 (MATH1115) Algebra and Foundations component, repeat lectures to high school extension program students; Analysis 1 Honours (MATH2320).
R J Loy, Mathematics of Finance (MATH3015/3115); Analysis 3 (MATH3022)
E A Ormerod, Games, Graphs and Machines (MATH2301); Algebraic Systems (MATH2302)
S G Roberts, Algebra (MATH1013/ENGN1212); Mathematical Modelling 3 (MATH2061); Advanced Computation (MATH3328).
N F Smythe, Mathematics and its Applications 1 Honours - Calculus section (MATH1115); Optimisation and Linear Programming (MATH3107); Computer Science (COMP1900) (part); Mathematical Modelling 2 (MATH1005)
S Vennes, Introductory Astrophysics (ASTR1001)
D T Wickramasinghe, Accretion Discs (MATH3348)
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| ||||||||
| Gender | ||||||||
| Female Male Total | .58 13.92 14.50 |
1.42 12.25 13.67 |
2.00 26.17 28.17 |
1.50 11.83 13.33 |
3.50 38.00 41.50 |
|||
| Gender | |||||||||
| Female Male Total | 2.00 26.17 28.17 |
2.00 - 2.00 |
1.50 11.83 13.33 |
1.00 - 1.00 |
- 2.00 2.00 |
2.00 1.83 3.83 |
|||