# 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.

#### Group theory

- Structure of finite groups
- Growth functions on finitely-generated groups and their combinatorics and number-theoretic properties
- Computational group theory and group-theoretical databases

#### Representation theory

- Representations of finite groups
- Representations of p-adic groups
- Representations of symmetric groups and Hecke algebras

#### Automorphic forms

- Modular forms
- Maass forms
- Siegel modular forms
- Representations of
*p*-adic groups - Langlands programme
- Analytic theory of automorphic forms

#### Algebraic Combinatorics

- Algebraic graph theory
- Matroid theory
- Finite geometry
- Computation
- Combinatorics of partitions

#### Homological algebra

#### Model theory

- Model theory of difference and differential fields
- Stable and simple theories
- Applications in algebraic geometry and number theory

#### Mathematical physics

- Exceptional groups and Lie algebras and applications to physics, quantum chaos

#### Analytic Number Theory

#### Algebraic Number Theory

- Galois representations
- Arithmetic of L-functions
- Special values of L-functions

#### Category theory

#### Algebraic geometry

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

## Group seminars

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

When it's not our turn to host the LAC, we normally hold our Algebra and Number Theory Seminar during term on Fridays at 3:00pm. We aim for this seminar to be informal and accessible.

### Nicholas Anderson

Postgraduate Research Student

Mathematical Sciences Building, Room: MB-402

n.c.anderson@qmul.ac.uk

### John Bray

Lecturer in Pure Mathematics

Mathematical Sciences Building, Room: MB-B25

+44 (0)20 7882 5482

j.n.bray@qmul.ac.uk

### Félicien Comtat

Postgraduate Research Student

Mathematical Sciences Building, Room: MB-402

F.N.J.Comtat@qmul.ac.uk

### Pieter De Rooy-Underhill

Postgraduate Research Student

Mathematical Sciences Building, Room: MB-402

p.derooy-underhill@qmul.ac.uk

### Natalie Evans

Postgraduate Research Student

Mathematical Sciences Building, Room: MB-402

N.R.Evans@qmul.ac.uk

### Matt Fayers

Reader in Pure Mathematics

Mathematical Sciences Building, Room: MB-512

+44 (0)20 7882 5479

m.fayers@qmul.ac.uk

### Alex Fink

Reader in Pure Mathematics, Director of Postgraduate Research Studies

Mathematical Sciences Building, Room: MB-312

+44 (0)20 7882 5520

a.fink@qmul.ac.uk

### Antonino Iannazzo

Postgraduate Research Student

Mathematical Sciences Building, Room: MB-402

A.Iannazzo@qmul.ac.uk

### Scott Kemp

Postgraduate Research Student

Mathematical Sciences Building, Room: MB-402

S.A.Kemp@qmul.ac.uk

### Rachael King

Postgraduate Research Student

Mathematical Sciences Building, Room: MB-402

r.a.king@qmul.ac.uk

### Diego Millan Berdasco

Postgraduate Research Student

Mathematical Sciences Building, Room: MB-402

d.millanberdasco@qmul.ac.uk

### Behrang Noohi

Reader in Pure Mathematics

Mathematical Sciences Building, Room: MB-224

+44 (0)20 7882 5491

b.noohi@qmul.ac.uk

### Felipe Rincón

Lecturer in Algebra

Mathematical Sciences Building MB-227

020 7882 6738

f.rincon@qmul.ac.uk

### Abhishek Saha

Reader in Mathematics

Mathematical Sciences Building, Room: MB-514

+44 (0)20 7882 3914

abhishek.saha@qmul.ac.uk

### Egor Stepanov

Postgraduate Research Student

Mathematical Sciences Building, Room: MB-402

e.stepanov@qmul.ac.uk

### Ivan Tomasic

Senior Lecturer in Pure Mathematics

Mathematical Sciences Building, Room: MB-114

+44 (0)20 7882 5483

i.tomasic@qmul.ac.uk

### Dean Yates

Postgraduate Research Student

Mathematical Sciences Building, Room: MB-402

D.Yates@qmul.ac.uk