About the Algebra Research Group

Algebra research at the University of Birmingham covers a wide range of topics across group and representation theory.

  • These areas lie at the heart of algebra and give a mathematical abstraction for the study of symmetry. Although symmetry has been studied for millennia as represented in the art and architecture of many different cultures, it was not until the work of Galois in the early 19th century on the symmetries of roots of polynomials that the definition of a symmetry group was introduced.

    Subsequently group theory and representation theory have found profound applications across the physical sciences, for example in the chemistry of molecular vibrations and in particle physics, and have a close relationship with geometry, number theory and combinatorics.

The research of algebraists in Birmingham involves an interaction of algebraic, geometric and combinatorial methods, collaboration with mathematicians worldwide and is or has been supported by the Engineering and Physical Sciences Council, the European Union, the Leverhulme Trust and the Royal Society.

Information about the weekly seminar can be found on the algebra seminar page. A list of upcoming talks, and an extensive archive of past talks, may be found at the seminar's talks@bham page.

A list of recent grants obtained by the Group can be found on the grants page. Previous PhD students in the Algebra Group, together with their theses, can be found on the previous PhD students page.