The Department of Mathematics contains three research groups undertaking fundamental research in pure and applied mathematics:
Representation Theory Research Group
The representation theory group focuses on modern aspects of the representation theory of finite groups, algebraic groups and related algebras, drawing motivation from geometry, statistical mechanics string theory.
Mathematical Physics Research Group
The mathematical physics group focuses on quantum mechanics, quantum field theory, string theory and fluid dynamics. One of the distinguishing features of the mathematical physics group is its strong expertise on integrable systems.
The Applied Mathematics group applies mathematical methods to increase our understanding of biological and physical phenomena.