# Information for Prospective Students

## General information

The number theory group is large and diverse, and always keen to attract new postgraduate students. In addition to the usual number theory seminars that are organised each week of term, we organise a weekly junior number theory seminar. The emphasis on the latter is a low pressure environment in which students take turns to give talks.

Although it is not essential, potential applicants are advised to make informal email contact with their prospective supervisor(s) before making their application. In particular, it may turn out that some faculty members are unable to take on further students, or are not interested in particular areas of study.

## Potential supervisors

The following is a list of members of the department who may be willing to take on new graduate students.

### Francis Brown

Research area - number theory, arithmetic geometry, perturbative quantum field theory

### Victor Flynn

Research area - arithmetic geometry, jacobians of curves

### Ben Green

Research area - additive and combinatorial number theory, analytic number theory

### Alan Lauder

Research area - computational number theory, elliptic curves, modular forms

### James Maynard

Research area - analytic number theory and prime numbers.

### James Newton

Research area - algebraic number theory, automorphic forms, Galois representations

### Jonathan Pila

Research area - applications of model theory in Diophantine geometry

### Damian Rössler

Research area - arithmetic geometry, algebraic geometry, Arakelov theory, rational points of varieties of general type over function fields

### Tom Sanders

Research area - harmonic analysis, additive combinatorics, analytic number theory