The current interests of the Algebra Research group at the University of À¶Ý®ÊÓÆµ include:
- Noncommutative projective geometry and Gelfrand-Kirillov dimension ()
- Group representations ()
- Arithmetic and algebraic geometry (McKinnon)
- Model theory of fields ()
- Combinatorial algebraic geometry ()
- Lie theory, algebraic combinatorics, mathematics of quantum information ()
- Knot theory and representation theory via algebraic geometry (Webster)
- Universal algebra ()