Our Research Groups
The group has a wide range of interests in the mathematical analysis of partial differential equations and in magnetohydrodynamics.
Our research activities fall into the broad categories of quantum field theory, string theory and gravity, cosmology and solitons in field theory. The group's interests are complementary to those of particle physicists belonging to the Institute for Particle Physics Phenomenology, and together we form the Centre for Particle Theory.
The areas of research of the pure mathematics group include global analysis, arithmetic, differential and hyperbolic geometry, number theory, representation theory, topology and interactions of these areas with dynamics, physics, engineering and computer science (robotics).
The interests of the group cover a wide range of topics associated with probability and statistics. In particular, topics studied include Bayes linear methods, applied Statistics, analysis of designed experiments, probability, percolation and geometric probability and quasi-stationarity.
Excellent Research Impact
- Lawson, J.W. & Mills, M.R. (2018). Properties of minimal mutation-infinite quivers. Journal of Combinatorial Theory, Series A 155: 122-156.
- Marzec, Jolanta (2018). Non-vanishing of fundamental Fourier coefficients of paramodular forms. Journal of Number Theory 182: 311-324.
- Gorodnik, Alexander & Vishe, Pankaj (2018). Diophantine approximation for products of linear maps—logarithmic improvements. Transactions of the American Mathematical Society 370(1): 487-507
- Stasinski, A. & Stevens, S. (2017). The regular representations of GLN over finite local principal ideal rings. Bulletin of the London Mathematical Society 49(6): 1066-1084.
- Edwards, Gruffudd, Sheehy, Sarah, Dent, Chris & Troffaes, Matthias C. M. (2017). Assessing the Contribution of Nightly Rechargeable Grid-Scale Storage to Generation Capacity Adequacy. Sustainable Energy, Grids and Networks 12: 69-81.
A selection of recent grants
- Arithmetic of Automorphic Forms and Special L-Values (EPSRC First Grant, Thanasis Bouganis)
- Cluster algebras, Coxeter groups and hyperbolic manifolds (EPSRC, Anna Felikson)
- Particles, Fields and Spacetime (STFC, Simon Ross)
- New homotopy-type invariants of knots (EPSRC, Andrew Lobb)
- Photospheric Driving of Non-Potential Coronal Magnetic Field Simulations (US Air Force, Anthony Yeates)
- SPOCK: Scientific Properties Of Complex Knots (Leverhulme Trust Research Programme Grant, Paul Sutcliffe)
Durham University is a member of the Russell Group, an association of the 24 major research-intensive UK universities.
Explore the frontiers of knowledge