Until the middle of the 20th century, Number Theory was considered to be the purest area of Mathematics and least likely to be sullied by applications. This has all changed since then with the advent of digital computing, the growth of cryptography, telecommunication and the emergence of links with dynamical systems and physical phenomena. Nowadays, the subject is an exciting mix of ideas pursued for their own interest and a rather exotic variety of applications - for example, our work is finding uses in wireless communications! The Number Theory group at York have varied interests which include: Analytic number theory; Metric number theory; Diophantine approximation, Irrationality, transcendence and algebraic independence; Random matrix theory; Connections with dynamical systems, fractals and ergodic theory.

- Prof. Victor Beresnevich
- Dr Christopher Hughes
- Dr Jason Levesley
- Professor Sanju Velani
- Dr Evgeniy Zorin
- Prof. Maurice Dodson (retired)