The Pure Mathematics Department is a dynamic centre of mathematical research.

The interests of the Algebra and Number Theory research group spans a wide spectrum, including homological algebra, group theory, representation theory and noncommutative algebra. The work of our Combinatorics research group centres on graph theory, matroid theory, design theory, and applications to coding theory. The research of the Functional and Harmonic Analysis group is concerned with classical problems, analysis on Lie groups, single operator theory in Banach spaces through semigroup theory to von Neumann and C*-algebras. Geometry research in the Department is very broad, including algebraic, differential, hyperbolic, Banach space, and noncommutative geometry. The Mathematical Physics group performs research into problems related to physics, including operator algebras, path integrals and quantization.

#### Research in Pure Mathematics