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. There is a weekly Algebra seminar (algebraic groups, representation theory, geometric group theory, homological algebra and invariant theory), comp[lemented by a Semigroup seminar (semigroup theory, model theory, universal algebra and combinatorics) and a regular algebra Study Group. 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).

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

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