# Algebra

## About

Algebra is the study of symmetries and structures that model symmetries. Number theory is the study of the integers and number systems that have properties like the integers. These come together in Representation theory, which is the art of representing algebraic structures as matrices.

## Academic Staff

**Prof Jan DE GIER** (Head of School)

Research interests: *Stochastic Processes, Integrable models, Mathematical Physics, Combinatorics*

**Dr Nora GANTER** (Senior Lecturer)

Research interests: *Categorification, Elliptic cohomology, Homotopical representation theory, Monstrous moonshine*

**Dr David GEPNER** (Senior Lecturer)

Research interests: *Homotopy Theory, Algebraic K-theory, Algebraic geometry, Higher category theory*

**Dr Alex GHITZA** (Senior Lecturer)

Research interests: *computational number theory, Galois representations, Shimura varieties, Automorphic forms*

**Prof Christian HAESEMEYER** (Professor)

Research interests: *K-theory, Algebraic cycles, Motives*

**Dr Peter MCNAMARA** (Senior Lecturer)

Research interests: *Representation theory*

**Dr Daniel MURFET** (Lecturer)

Research interests: *Mathematical logic, Algebraic geometry, Topological field theories*

**Dr Thomas QUELLA** (Senior Lecturer)

Research interests: *Representation Theory and Applications, Conformal field theory, quantum integrable models, Topological states of matter, tensor network states, Lie (super) algebras, diagram algebras, quantum groups, Quantum many-body physics*

**Prof Arun RAM** (Professor)

Research interests: *Representation theory*

**Dr Lawrence REEVES** (Senior Lecturer)

Research interests: *Geometric group theory*

**Dr David RIDOUT** (Senior Lecturer)

Research interests: *Conformal field theory, Vertex operator algebras, Representation theory, Lie (super) algebras, Integrable models*

**Dr Marcy ROBERTSON** (Senior Lecturer)

Research interests: *Higher category theory, Operad theory, Homotopy Theory*

**Dr Chenyan WU** (Lecturer)

Research interests: *Representation theory, Algebraic geometry, Algebraic number theory*

**Dr Ting XUE** (Senior Lecturer)

Research interests: *Algebraic groups, Representation theory*

**Dr Yaping YANG** (Lecturer)

Research interests: *Geometric representation theory, Quantum groups*

**A/Prof Paul ZINN-JUSTIN** (Associate Professor)

Research interests: *Quantum integrable systems, Algebraic Combinatorics, Schubert calculus*

## Research Fellows

**Dr Iva HALACHEVA** (Research Fellow)

Research interests: *Low dimensional topology, Knot theory, Representation theory, Quantum algebra*

**Dr Arik WILBERT** (Research Fellow)

Research interests: *Topological Quantum Field Theory, Low dimensional topology, Categorification, Geometric & Combinatorial Representation Theory*

**Dr Gufang ZHAO** (Research Fellow)

Research interests: *Algebraic geometry, Topology, Representation theory*

## Honorary Staff

**Professor Andrew BARBOUR**

Professorial Fellow (Associate)
**Professor Daryl DALEY**

Professorial Fellow (Associate)
**Dr Swarup GADDE**

Senior Fellow (Associate)
**Associate Professor John GROVES**

Principal Fellow (Associate)
**Associate Professor Jerry KOLIHA**

Principal Fellow (Associate)
**Emeritus Professor Charles MILLER **

Emeritus Professor (Associate)

## Postgraduate Students

CHEN Zeying

ELLIOT Patrick

EPA Narthana – ‘Platonic - 2 Groups’

FOXCROFT John – ‘Combinatorial Enumeration and the Bethe Ansatz’

HAN Songqi

KOYAMA Musashi

LIU Tianshu

MCGAHEN Adrian

NAGY Csaba

SIU Steve

SPONG Matthew

STRUMILA Michelle

TRINH Allan

WITHERS James – ‘Explicit computations of Hecke module structure of modular forms’

ZHANG Jiyuan

## Masters (RT) Students

AGISILAOU Adrian

ARMITAGE Ethan

CLIFT James

COLMAN Owen

ELLIOT Patrick

FIELD Tyson

LI Zhehao

LYONS Samuel

MUSGRAVE-EVANS Curtis

PILBROW Anupama

WINNING Heath