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)