Algebra and Number Theory Group

The Algebra and Number Theory Group at Queen Mary has a long and distinguished history, going back to such names as Kurt Hirsch, Karl Gruenberg and Ian G. Macdonald.

Having made its reputation primarily in group theory, the group now covers a range of areas in number theory, representation theory, automorphic forms, algebraic combinatorics, algebraic geometry, logic, homological/categorical algebra, and computational methods.

Research interests

John Bray, Matt Fayers, Abhishek Saha

Structure of finite groups
Growth functions on finitely-generated groups and their combinatorics and number-theoretic properties
Computational group theory and group-theoretical databases
Representations of finite groups
Representations of p-adic groups
Representations of symmetric groups and Hecke algebras

Jesse Jaasaari, Abhishek Saha, Shu Sasaki, Han Wu

Modular forms
Maass forms
Siegel modular forms
Representations of p-adic groups
Langlands programme
L-functions
Galois representations
Arithmetic quantum chaos

John Bray, Alex Fink, Felipe Rincón, Matt Fayers

Algebraic graph theory
Matroid theory
Finite geometry
Computation
Combinatorics of partitions

Behrang Noohi, Ivan Tomašić

Topos theory
Categorical logic
Model theory of difference and differential fields
Higher categorical/derived structures in algebra and geometry
Homological algebra
Applications to number theory and geometry

Alex Fink, Behrang Noohi, Felipe Rincón, Shu Sasaki, Ivan Tomasic

Tropical geometry
Combinatorial algebraic geometry
Complex geometry
Arithmetic geometry
Non-Archimedean geometry

Group seminars

We normally hold our Algebra and Number Theory Seminar during term time. We aim for this seminar to be informal and accessible.

In conjunction with Imperial College, City University and Birkbeck University of London we also run the weekly London Algebra Colloquium, which has been running continuously since 1950.