School of Mathematical Sciences
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Number Theory and Geometry

Number Theory and Geometry

The internationally recognised research of our group encompasses a range of central areas of number theory and geometry, including analytic number theory, geometric and categorical theories and correspondences. Higher class field theory, Iwasawa theory, representation theory and quantum field theory are also significant themes.

About number theory

Number theory studies the deepest properties of numbers using methods from all areas of mathematics, and it is the most applicable part of pure mathematics through its use in coding, cryptography and computer sciences.

Research areas

  • Analytic number theory
  • Arithmetic, algebraic and anabelian geometry
  • Computational number theory
  • Geometric and categorical theories and correspondences
  • Higher class field theories, higher adelic analysis and geometry, higher automorphic forms 
  • Local number theory, Iwasawa theory
  • Representation theory and quantum field theory
  • Zeta and L functions

Our current awards include Symmetries and correspondences intra-disciplinary developments and applications, a Nottingham-Oxford EPSRC programme grant (2015-2021). 

Robert Langlands, the 2018 Abel Prize winner, and Alexander Beilinson, the 2018 Wolf Prize winners, have given talks and participated in our workshops.

Contact us PhD projects in Number Theory and Geometry Apply for a  PhD View our masters courses Research events


Group members

Thinking of joining us? 

We are keen to create an environment which supports all staff members by providing:

Childcare services

Equality and diversity networks

Women's professional development

Work-life balance



Nikolaos Diamantis

School of Mathematical Sciences
University of Nottingham
University Park


telephone: +44 (0) 115 95 14952


School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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