People in the Algebra and Topology Program

Academic staff

Arithmetic algebraic geometry: Algebraic number theory and algebraic geometry, especially lambda-algebraic geometry

Prof Amnon Neeman - Program Convenor

Algebraic K-theory: K-theory of derived categories and its structure.

Homotopy theory: foundations of derived categories; representability th eorems;

Applications to algebraic geometry; classical problems on phantom maps.

Finite p-groups of small nilpotency class; Wielandt subgroups; Wielandt series.

Geometry and topology: Geometric cycles and D-branes, Floer homology and parametrized cohomology theory, twisted K-theory and index theory.

Gauge theory and low dimensional topology: Floer homology and gauge theoretical invariants.

Dr R.A. Bryce: The theory of groups; history of Mathematics.
Dr John Cossey: Finite soluble groups.
Dr L.G. Kovács: Group theory; algebra.
Professor M.F. Newman: Groups, in particular finitely describable groups, computations related to groups, groups of prime-power order and the Burnside questions; and associated algebras, especially Lie algebras and computations related to them.
Dr Neville F. Smythe: Combinatorial group theory; topology; mathematical software.
Dr Martin A. Ward: Group theory; algebra; universal algebra.

Idham Alias (Cossey)
Lance Gurney (Borger)
Joanne Hall (Cossey/Ormerod)
David Leach (Neeman)
Dan Murfet (Neeman)
Tryon Schnabl (Neeman)
Dongvu Tonien (Borger)
Brett Witty (Newman): The enumeration of p-groups and Higman's PORC conjecture

Annalisa Copetti (Newman, 2005): Classification of nilpotent Lie algebras
Tamiru Jarso (Cossey, 2004): Automorphisms Fixing Subnormal Subgroups of Certain Infinite Soluble Groups
Chris Wetherell (Cossey, 2002): Subnormal Structure of Finite Soluble Groups
Alberto Basile (Kovács, 2001): Second Maximal Subgroups of the Finite Alternating and Symmetric Groups
David Young (Newman, 2001): Thin Lie Algebras with Long Second Chains
Zoltán Bácskai (Kovács, 2000): Finite Irreducible Monomial Groups of Small Prime Degree