Our research covers a wide spectrum of interests from the most abstract algebra through to structures applicable to physics and biology.

Our main areas of expertise are algebraic groups, representation theory, homological algebra, invariant theory and semigroup theory.

We collaborate with other research groups, linking our work through quantised algebraic structures (to integrable systems and mathematical physics), random walks on groups (probability), algebraic approaches to data (statistics) and the role of group theory in virus structure and assembly (mathematical biology).

We have a vibrant research culture and run regular seminars complemented by a specialist semigroup seminar and an algebra study group. We also host many visiting researchers and PhD students from around the world.

Explore PhD projects


    Marie Curie Fellowship




Our researchers are founding members and strong supporters of national and regional networks of meetings. We host regular seminars, lectures, study groups and informal meetings throughout the year. 


Research degrees

Push the boundaries of knowledge in our supportive and stimulating environment.