# Pure Mathematics

## About

The pure mathematics group has the following subgroups:

AnalysisAlgebraic Geometry

Number theory

Representation theory

Topology

## Seminar series

Algebraic Geometry and K-Theory

Number Theory

Pure Mathematics

Representation Theory

Topology

## Academic Staff

**Prof Jan DE GIER** (Professor)

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

**A/Prof Craig HODGSON** (Associate Professor/Reader)

Research interests: *Differential geometry, Hyperbolic geometry, Low dimensional topology*

**Prof Paul NORBURY** (Professor)

Research interests: *Algebraic geometry, Gauge Theory, Mathematical Physics, Moduli spaces*

**Dr Lawrence REEVES** (Senior Lecturer)

Research interests: *Geometric group theory*

**Prof Arun RAM** (Professor)

Research interests: *Representation theory*

**Professor Paul ZINN-JUSTIN** (Professor)

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

**A/Prof Nora GANTER** (Associate Professor)

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

**A/Prof Alex GHITZA** (Senior Lecturer)

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

**Dr TriThang TRAN** (Lecturer)

**A/Prof David RIDOUT** (Associate Professor)

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

**Dr Peter MCNAMARA** (Senior Lecturer)

Research interests: *Representation theory*

**Prof Kari VILONEN** (Professor)

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

**Dr Mario KIEBURG** (Senior Lecturer)

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

**Prof Christian HAESEMEYER** (Professor)

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

**A/Prof Ting XUE** (Associate Professor)

Research interests: *Algebraic groups, Representation theory*

**Dr Daniel MURFET** (Lecturer)

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

**Dr Zachary FEHILY** (Research Fellow)

**Dr Thomas QUELLA** (Senior Lecturer)

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

**A/Prof Diarmuid CROWLEY** (Associate Professor)

Research interests: *Algebraic topology, Differential topology, Surgery classification of manifolds*

**Dr Jesse GELL-REDMAN** (Lecturer)

Research interests: *Differential geometry, Microlocal analysis, Partial Differential Equations*

**Dr Yaping YANG** (Senior Lecturer)

Research interests: *Geometric representation theory, Quantum groups*

**Dr Susan WEI** (Lecturer)

Research interests: *Data Science, Machine Learning, Statistical inference for big data*

**Dr Chenyan WU** (Lecturer)

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

**Dr Gufang ZHAO** (Senior Lecturer)

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

**Dr Volker SCHLUE** (Lecturer)

Research interests: *General relativity, Geometric analysis, Partial Differential Equations*

**A/Prof Jack HALL** (Associate Professor)

**Dr Brian KRUMMEL** (Lecturer)

Research interests: *Differential equations, Geometric analysis, Minimal Surfaces*

**Dr Moritz DOLL** (Research Fellow)

**Dr Guillaume LAPLANTE-ANFOSSI** (Research Fellow)

## Research Fellows

**Dr Dougal DAVIS** (Research Fellow)

Research interests: *Algebraic geometry, Representation theory*

**A/Prof Marcy ROBERTSON** (ARC Future Fellow)

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

**Dr Lance GURNEY** (Research Fellow)

Research interests: *Elliptic curves, Prismatic cohomology, Witt vectors*

**Dr Jun Yong (June) PARK** (Research Fellow)

Research interests: *Arithmetic of moduli stacks, Fibered algebraic surfaces, Spaces of morphisms*

**Dr Justine FASQUEL** (Research Fellow)

## Honorary Staff

**Dr Iain AITCHISON**

Senior Fellow (Associate)
**Dr Dave COULSON**

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)
**Emeritus Professor J. Hyam RUBINSTEIN**

Professorial Fellow (Associate)
**Dr Craig WESTERLAND**

Fellow (Associate)
**Professor Henry SEGERMAN**

Fellow (Associate)