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School of Mathematical Sciences

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, algebraic combinatorics, algebraic geometry, logic, homological/categorical algebra, and computational methods.

Research interests

John BrayMatt 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 FinkBehrang 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. 

Group members

Head of Group: Dr Abhishek Saha