Organisational unit: Research Sub-grouping
Group theory is the study of algebraic structures called groups, which arise naturally throughout mathematics. Groups encode the symmetries in a vast range of mathematical and physical systems, and group theory provides a powerful and unified language for studying these symmetries. Research in group theory at Bristol is focussed on finite and algebraic groups, and geometric group theory.
Representation theory, in its broadest sense, is the art of relating the symmetries of different objects. It is a vast subject enjoying a close relationship with topology, geometry, number theory, combinatorics and mathematical physics.