The current interests of the Algebra Research group at the University of Waterloo include:

  • Noncommutative projective geometry and Gelfrand-Kirillov dimension (Bell)
  • Group representations (Kuo)
  • Arithmetic and algebraic geometry (McKinnon)
  • Model theory of fields (Moosa)
  • Combinatorial algebraic geometry (Satriano)
  • Lie theory, algebraic combinatorics, mathematics of quantum information (Slofstra)
  • Knot theory and representation theory via algebraic geometry (Webster)
  • Universal algebra (Willard)