Research Group: Pure Mathematics
The Pure Mathematics Group has a strong tradition of making important contributions to research in algebra, analysis, geometry and topology.
The Pure Mathematics Group has a strong tradition of making important contributions to research in algebra, analysis, geometry and topology.
We are internationally recognised as research leaders in several fields, including geometric group theory, non commutative geometry and analysis, algebraic topology and applied topology.
The Pure Mathematics group is a vibrant, dynamic team of 30 academics and postgraduate students. We collaborate with researchers around the world and have strong contacts with groups in the UK, the EU, North America and East Asia. The Centre for Geometry, Topology, and Applications has recently been created to provide a focal point for a large part of this activity. We run multiple seminars and a colloquium in order to share our latest research results and hear of new research by external speakers.
We welcome applications for PhD study in one of our areas of expertise. Please have a look at our research areas and projects, and do not hesitate to contact our staff for more information. More information on how to apply can be found via this link . For external sources of fellowships and funding, please see this page .
Our research can be broadly divided into several categories:
| Related Projects | Status |
|---|---|
| Metric geometry and analysis | Active |
| Massey products in toric topology | Active |
| K-theory and cyclic homology of affine Weyl groups | Active |
| Amenability | Active |
| Profinite topology on non-positively curved groups | Active |
| Schottky groups and uniformizations of closed surfaces | Active |
| Coarse geometry of non-positively curved spaces | Active |
| Finite subgroups of mapping class groups of closed surfaces | Active |
| Boundary representations of groups | Active |
| Homotopy groups of manifolds | Active |
| Symmetries of polyhedral products | Active |
| Topological superrigidity | Dormant |
| Cohomology and Yu's Property A | Dormant |