# 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.

## Seminar series

Representation Theory

Pure Mathematics

Algebraic Geometry and K-Theory

## 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 Mario KIEBURG** (Lecturer)

Research interests: *Harmonic Analysis and Group & Representation Theory, Random Matrix Theory, Orthogonal functions and polynomials, Time Series, Quantum field theory, Telecommunications systems, Supersymmetry & Graded Algebras, Quantum Chaos, Quantum Information Theory*

**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*

**Dr Gufang ZHAO** (Lecturer)

Research interests: *Geometry & Topology, Algebra*

**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 Gufang ZHAO** (ARC DECRA)

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

## Honorary Staff

**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 – ‘Exact solutions to multi-species exclusion processes’

ELLIOT Patrick

HAN Songqi

MCGAHEN Adrian

NAGY Csaba

STRUMILA Michelle

TRINH Allan

ZHANG Jiyuan

## Masters (RT) Students

BROWN Jason

CLARK Alexander

DOVE Thomas

FIELD Tyson

HOGAN Tamara

MACHIDA Kai

MUSGRAVE-EVANS Curtis

TAN Daniel

TROIANI William

TSIGLOPOULOS Matthew

WALSH Adam

WAXMANN Brian

WINNING Heath