Below is an alphabetical list of members of the Algebra Group, with brief descriptions of their (algebraic) research interests. Clicking on the name of a particular member of staff will direct you to their homepage.

• Dr Martina Balagovic  Quantum groups, Cherednik algebras, algebraic representation theory
• Dr Michael Bate  Subgroup structure and representation theory of linear algebraic groups; spherical buildings; geometric invariant theory
• Dr Gustav Delius  Boundary affine algebras and twisted Yangians
• Professor Stephen Donkin  Algebra; representation theory; algebraic groups
• Dr Brent Everitt  (Co)homology of sheaves over categories; combinatorics and representations of Coxeter groups
• Professor John Fountain  Semigroup Theory and Group Theory
• Dr Haralampos Geranios  Representations of algebraic groups and invariant theory
  
• Professor Victoria Gould  Semigroup theory: structure theory for non-regular semigroups; endomorphism monoids of certain universal algebras; semigroups of quotients; S-sets over a monoid S
• Dr Miklos Hartmann Structure theory for orthodox semigroups and theory of S-acts
• Dr Eli Hawkins Noncommutative deformations, Lie groupoids and algebroids, geometric models of noncommutative algebras, C*-algebras, Hochschild and cyclic (co)homology
• Dr Niall MacKay  Yangians, quantum affine algebras and their representations and realizations in physics; generalizations of Brauer and symmetric-group centralizer algebras to exceptional Lie algebras, and their diagrammatic representations
• Professor Maxim Nazarov  Representations of affine quantum groups and affine Hecke algebras
• Professor Reidun Twarock  Affine extensions of noncrystallographic Coxeter groups with applications in virology