Our research interests in Pure Mathematics include:

  • Arithmetic geometry
  • Analysis and dynamical systems
  • Number theory

Pure Mathematics research at Exeter is mostly concerned with Number Theory, Arithmetic Geometry, Analysis and Dynamics and related areas. An important theme in modern mathematics is that number theory and geometry are closely interrelated, so that, for example, the function fields of algebraic curves behave in a very similar way to algebraic number fields. Arithmetic geometry combines and unifies the areas of Number Theory and Geometry. One often looks for invariants associated with objects of geometric and number-theoretic interest like curves or equations defined over an arithmetic field (a number field, a local field or a finite field). In many cases these invariants are elements in K-theory or in a (co)homology theory.

Particular areas of interest at Exeter include p-adic cohomology and the classification of p-divisible formal groups, fundamental groups of curves, lattices and codes, combinatorics and additive number theory, Galois module structure of rings of integers, analytic number theory, Iwasawa theory, Ergodic theory and applications in number theory and probability theory and Hopf-Galois structures on field extensions. See also our publications.

Visitors to the pure mathematics group

We regularly host visiting researchers of all levels to the centre for stays of a few days to a few weeks. If you are interested in spending some time at the centre, contact a potential host and discuss this with them. Please note the David Rees fellowship offers opportunities to fund visits to mathematics at Exeter.