Research Group Details

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

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
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 Arik WILBERT (Research Fellow)
Research interests: Topological Quantum Field Theory, Low dimensional topology, Categorification, Geometric & Combinatorial Representation Theory
Dr Gufang ZHAO (ARC DECRA)
Research interests: Algebra, geometry, topology, Representation theory, Topology, Algebraic geometry

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 – ‘Exact solutions to multi-species exclusion processes
ELLIOT Patrick
EPA Narthana – ‘Platonic - 2 Groups
FOXCROFT John – ‘Combinatorial Enumeration and the Bethe Ansatz
HAN Songqi
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

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