Research in Group Theory includes the automorphisms of designs, and the application of representation theory and incidence-transformation arguments to permutation groups.

Research in Algebraic Combinatorics and finite permutation groups includes the invariant theory and homology of partially ordered sets and reconstruction problems. (Dr J Siemons)

Research in Representation Theory includes: modular representation theory of the symmetric groups and related algebras, including the Hecke algebras of type A, the q-Schur algebras and the Ariki-Koike algebras (Dr S Lyle); representation theory of finite dimensional algebras, algebraic groups and related algebras, connections with Lie theory, homological methods, categorification (Dr V Miemietz).