Algebra, Geometry & Topology

What we do

The main areas of research in our group are:

  • algebraic combinatorics
  • quantum groups
  • algorithmic aspects of algebraic curves
  • geometric group theory
  • homological algebra
  • combinatorial and geometric semigroup theory
  • automata and languages
  • knot theory and 3-manifolds
  • noncommutative geometry
  • differential, complex and algebraic geometry
  • K-theory
  • higher algebraic and geometric structures such as n-Lie algebras and higher Poisson structures
  • moduli spaces for elliptic PDE's

We have close links with the Geometry and Mathematical Physics research groups within the Maxwell Institute.

Group Members

L. Ciobanu Radomirovic, A. Doikou, N. Gilbert, J. Howie, A. Martin, C. Saemann, B. Schroers, R. Szabo, R. Weston