Algebra research at York covers a wide spectrum of interests, from the most abstract algebra through to structures derived from, or applicable to, physics and biology. Our main areas of expertise are algebraic groups, representation theory, homological algebra, invariant theory and semigroup theory.

Our work links to other groups via quantized 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, running a main Algebra seminar, complemented by a specialist Semigroup seminar, and an Algebra study group. In addition we host many research visitors and PhD students from around the world.

- Dr Michael Bate
- Prof Stephen Donkin (Emeritus)
- Dr Emilie Dufresne
- Dr Brent Everitt
- Dr Haralampos Geranios
- Prof Victoria Gould
- Prof Maxim Nazarov
- Prof. John Fountain (Emeritus)

*Photo: Menger Sponge Variations by fdecomite, licensed under CC BY 2.0*