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
- Funke, Jens & Kudla, Stephen (2019). On some incomplete theta integrals. Compositio Mathematica 155(9): 1711-1746.
- Gregory, Ruth & Scoins, Andrew (2019). Accelerating black hole chemistry. Physics Letters B 796: 191-195.
- Huang, Xianzhen, Aslett, Louis J.M. & Coolen, Frank P.A. (2019). Reliability analysis of general phased mission systems with a new survival signature. Reliability Engineering & System Safety 189: 416-422.
- Alabdulhadi, M.H., Coolen, F.P.A. & Coolen-Maturi, T. (2019). Nonparametric predictive comparison of two diagnostic tests based on total numbers of correctly diagnosed individuals. Journal of Statistical Theory and Practice 13: 38.
- García-Etxebarria, Iñaki & Montero, Miguel (2019). Dai-Freed anomalies in particle physics. Journal of High Energy Physics 2019(8): 3.
- Canakci, I. & Felikson, A. (2019). Infinite rank surface cluster algebras. Advances in Mathematics 352: 862-942.
- Tee, Kong Fah, Pesinis, Konstantinos & Coolen-Maturi, Tahani (2019). Competing risks survival analysis of ruptured gas pipelines: A nonparametric predictive approach. International Journal of Pressure Vessels and Piping 175: 103919.
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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