Our number theory research examines the representation theory of p-adic groups with a view to the Langlands programme (Prof S Stevens). Research in analytic number theory is centred around exponential sums and the quantitative behaviour of rational points on varieties (Stephan Baier).

Research areas in Ergodic Theory and Dynamical Systems include higher dimensional Markov shifts, flows on homogeneous spaces of algebraic groups, examples of algebraic and geometric origin as well as examples motivated by number theory. Methods from commutative algebra, harmonic analysis, finite groups, Lie theory and representation theory are used to understand structural and rigidity properties of these dynamical systems (Prof T Ward and Dr A Ghosh).

Further information on individual research interests can be obtained by following links to personal homepages. Most groups organise working seminars to discuss topics of current interest in their area.