The Algebra group focuses on group theory and representation theory. Groups are algebraic structures that arise naturally throughout mathematics. They 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. Current areas of research in Bristol include finite and algebraic groups, simple 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.