Organisational unit: Research Sub-grouping

Commonly referred to as the queen of mathematics, number theory is an ancient branch of pure mathematics that deals with properties of the integers. Bringing together tools from analysis, geometry and algebra, the work that takes place in Bristol centres largely upon Diophantine equations and prime numbers.

Combinatorics is the study of discrete structures, which are as ubiquitous in mathematics as they are in our everyday lives. They are studied for their intrinsic beauty as well as their many important practical applications, for example to networking, optimisation, and statistical physics to name just a few. Moreover, problems of a combinatorial nature arise in many areas of pure mathematics, notably in group theory, probability, topology and number theory.