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
- Huang, X., Coolen, F.P.A. & Coolen-Maturi, T. (2019). A heuristic survival signature based approach for reliability-redundancy allocation. Reliability Engineering and System Safety 185: 511-517.
- Stasinski, Alexander & Vera-Gajardo, Andrea (2019). Representations of reductive groups over finite local rings of length two. Journal of Algebra 525: 171-190.
- Cruise, James R. & Wade, Andrew R. (2019). The critical greedy server on the integers is recurrent. Annals of Applied Probability 29(2): 1233-1261.
- Nakharutai, Nawapon, Caiado, Camila C. S. & Troffaes, Matthias C. M. (2019). Evaluating betting odds and free coupons using desirability. International Journal of Approximate Reasoning 106: 128-145.
- Marques, F.J., Coolen, F.P.A. & Coolen-Maturi, T. (2019). Approximations for the likelihood ratio statistic for hypothesis testing between two Beta distributions. Journal of Statistical Theory and Practice 13: 17.
- Marques, F.J., Coolen, F.P.A. & Coolen-Maturi, T. (2019). Introducing nonparametric predictive inference methods for reproducibility of likelihood ratio tests. Journal of Statistical Theory and Practice 13: 15.
- Alqifari, H.N. & Coolen, F.P.A. (2019). Robustness of nonparametric predictive inference for future order statistics. Journal of Statistical Theory and Practice 13(1): 12.
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.
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