Recent highlights
Some mathematical highlights from the past few years:
- Alan McIntosh's solution of the Kato `square root problem', a
conjecture dating back to the 1960s, in joint work with Auscher,
Hofmann, Lacey and Tchamitchian. See Annals of Mathematics, 156
(2002), 633-654.
- Terry Tao (who was at ANU in 2001 and 2003) proved the global existence
of wave maps in two dimensions, work which was awarded the Bocher prize; see
Proceedings of
the Centre for Mathematics and its Applications, vol. 40, 2002, 19-48
and Comm. Math. Phys. 224 (2001),
443-544.
- Alan Carey's work with Phillips on index theory, noncommutative
geometry and spectral flow; see math.KT/0308161.
- Andrew Hassell's work with Wunsch showing how singularities propagate
under the time-dependent Schroedinger equation; see math.AP/0301341.
- Derek Robinson's recent book, Analysis on Lie groups of polynomial
growth, with Dungey and ter Elst, summarizing over 10 years of
research; Birkhauser, 2003, ISBN 0817632255.
- Rick Loy's work with Laustsen and Read in constructing a Banach space
whose algebra of operators has a closed ideal lattice structure not
previously encountered; see
J. Funct. Analysis 214 (2004), 106-131.
- Alexander Isaev's work with Kruzhilin solving a 10-year old problem
on characterising complex n-space by its automorphism group; see
Canadian J. Math. 54(2002), 1254-1279.
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