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Research & Impact

Research in the Department of Mathematical Sciences is organised into a number of groups interacting with each other and other departments.

We are also members of several scientific networks, addressing a sweep of topics from the mathematics of climate change to geometric group theory. Further broadening our perspectives, we welcome academic visitors to our department, for periods between a week and a year. Most such visits are unfunded (though hospitality will be offered!), but we also have a limited number of Fellowships available as part of our overall investment in excellence.
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Students working at computers in a study room.

Research Areas

A brief description of our research groups and their interests is given below.

Applied and Computational Mathematics: The group has a wide range of interests in the mathematical analysis of partial differential equations and in magnetohydrodynamics.

Mathematical and Theoretical Particle Physics: 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 (IPPP), and together we form the Centre for Particle Theory (CPT).

Probability: The research interests of the group include complex stochastic systems and phase transitions, stochastic processes and their applications, and random geometric, algebraic and combinatorial structures.

Pure Mathematics: 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).

Statistics: The research interests of the group include Bayesian and Bayes linear methodology, foundations of statistics and decision theory including imprecise probability, non-parametrics, smoothing and predictive inference, statistical modelling of structure, geometry and shape, uncertainty quantification for computer models and a wide range of applications, many large-scale.


REF 2021

In the most recent Research Excellence Framework report (REF2021), 96% of the Department's research output was assessed as internationally excellent (3*) or world-leading (4*).

Our submission to the Research Excellence Framework 2021, including Impact Case Studies, can be found in REF 2021 Result.