# Research Groups

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 research, postgraduate studies and seminars can be found there.

## The Pure Mathematics Group

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 Pure Mathematics Group web pages.

## The Numerical Analysis Group

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 Numerical Analysis Group web pages.

## The Mathematical and Theoretical Particle Physics Group

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 Mathematical and Theoretical Particle Physics Group web pages.

## The Statistics and Probability Group

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 and Probability Group web pages.

## The Biomathematics Group

This is a newly formed group within the Department, whose members are in close scientific contact and collaboration with researchers belonging to the recently created Biophysical Sciences Institute. The group's research focuses on mathematical modelling of biological structures and processes. The Biomathematics Group web pages.

## The Statistics and Mathematics Consultancy Unit

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 companyrequirements and the abilities of the personnel to be trained. The Statistics an Mathematics Consultancy Unit web pages.