Research groups and centres

The Department of Mathematical Sciences works to deliver innovative research that has the potential to have significant impact on industry and the wider world.

Over 30 members of academic staff work across a variety of research disciplines in both pure and applied mathematics, to develop new ways of thinking and learning, and continually strengthen research within the department.

Research groups

The Department's research is broken down into six distinct groups or themes. Each group is made up of staff and students that specialise in a particular area. The groups regularly hold seminars, workshops, and conferences, featuring presentations by both internal and external speakers.

Analysis and PDEs

The Analysis and PDEs research group is rooted in pure mathematics and focuses on geometric and topological aspects of analysis.

Dynamical systems

The group studies a wide range of aspects of dynamical systems theory, such as Hamiltonian and dissipative dynamics, dynamical chaos in classical and quantum systems, dynamics of multi-scale systems, ergodic theory, random matrix theory, and bifurcation theory.

Geometry and mathematical physics

The research of the group includes both classical and quantum integrable systems in relation with representation theory and special functions, as well as algebraic, differential and symplectic geometry.

Linear and nonlinear waves

The group develops new mathematical models and methods in order to understand and predict wave motion in a variety of physical and geophysical applications.

Mathematical modelling

Members of the group apply a variety of techniques from Applied Mathematics to diverse problems in Medicine, Biology, Fluid Dynamics, Materials and Soft Matter Science.

Statistics

The Statistics group is involved in methodological research in contemporary issues in mathematical and computational statistics.

Research centres

In addition to our seven research groups, the Department also contains three research centres. These research centres define areas of focussed activity that often span multiple research groups and disciplines.

Centre for Nonlinear Mathematics and Applications

The purpose of the Centre is to focus, support and enhance our research activities in nonlinear phenomena.

Centre for Geometry and Applications

Research interests include: Algebraic Geometry, Differential Geometry and Integrable systems.

Interdisciplinary Centre for Mathematical Modelling

The Mission of the Centre is to develop mathematical models to generate fundamental understanding of matter on all scales ranging from the small microscopic to macroscopic scales.