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
- Fouskakis, Dimitris, Ntzoufras, Ioannis & Perrakis, Konstantinos (2020). Variations of power-expected-posterior priors in normal regression models. Computational Statistics & Data Analysis 143: 106836.
- Cooper, S. & Savostianov, A. (2020). Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations. Advances in Nonlinear Analysis 9(1): 745-787.
- Li, Y. & Coolen, F.P.A. (2019). Time-dependent reliability analysis of wind turbines considering load-sharing using fault tree analysis and Markov chains. Journal of Risk and Reliability 233(6): 1074-1085.
- Karagiannis, Georgios, Konomi, Bledar A. & Lin, Guang (2019). On the Bayesian calibration of expensive computer models with input dependent parameters. Spatial Statistics 34: 100258.
- Jones, Dan, Lobb, Andrew & Schuetz, Dirk (2019). An sl(n) stable homotopy type for matched diagrams. Advances in Mathematics 356: 106816.
- Khoze, V A, Martin, A D & Ryskin, M G (2019). Colliding Pomerons. Journal of Physics G: Nuclear and Particle Physics 46(11): 11LT01.
- Magee, Michael & Puder, Doron (2019). Matrix group integrals, surfaces, and mapping class groups I: U(n). Inventiones mathematicae 218(2): 341-411.
A selection of recent grants
- MEMO - The Memory of Solitons (ERC Starting Grant, Michele Del Zotto)
- Supersymmetric Gauge Theory and Enumerative Geometry (EPSRC Early Career Fellowship, Mathew Bullimore)
- Deterimantal Formulas for Multispecies ASEP (Royal Society International Exchanges, Sunil Chhita)
- Dimers and Integration (EPSRC Early Career Fellowship Grant, Sunil Chhita)
- 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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