Number Theory
Number theory is one of the oldest parts of mathematics. In its study of fundamental properties of numbers it uses every other part of mathematics and stimulates a variety of new developments in other areas. Number theory remains the most applicable part of pure mathematics through for example coding and cryptography and computer science.
The Nottingham number theory group includes five permanent members. In our work we use structures, methods and tools of arithmetical origin and from algebra, geometry, topology, K-theory, analysis and representation theory.
Research Areas
-
arithmetic geometry, analytic number theory
-
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
-
zeta and L functions
Group Activities
Members of the group are regularly involved in events, for example:
Conferences
BSD conjecture summer school, June-July 2011 in Sardinia.
Lecture series
New directions and perspectives in two-dimensional number theory, algebra and geometry summer school, August 2011, Russia.
Study Groups
The group runs several study groups and graduate courses for PhD students. Recent examples include:
Higher zeta integrals
Objects useful for number theory
Geometric Langlands correspondence and higher categorical structures in number theory.
Group Members
Staff:
Visitors:
Number Theory Seminars
Number Theory PhD Projects