Research in the Department of Mathematics is organised into a number of groups interacting with each other and other departments. A brief description of the groups and their research interests are given below. Each of the groups maintains its own web pages, and much more detailed information about amongst other things, research, postgraduate studies and seminars can be found there.
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 group has a wide range of interests in the numerical and mathematical analysis of partial differential equations. Its research areas in numerical analysis include finite element, multigrid and spectral methods.
The Centre for Particle Theory has members in both the Mathematics and Physics Departments. As the largest Particle Theory group in the country, most of the main areas of research into Elementary Particle Theory are represented.
The interests of the group cover a wide range of topics associated with statistics and probability.In particular, topics studied include Bayes linear methods, applied Statistics, analysis of designed experiments, probability, percolation and geometric probability and quasi-stationarity.
The Statistics & Mathematics Consultancy Unit offers statistical and mathematical advice and analysis for all kinds of industrial, commercial, academic and institutional clients. They also provide various short courses in statistical thinking and practice, tailored according to company requirements and the abilities of the personnel to be trained.