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.