# 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

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

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

**Prof Jan DE GIER** (Professor)

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

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

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

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

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

**Dr Alex GHITZA** (Senior Lecturer)

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

**Dr Mingming GONG** (Lecturer)

Research interests: *Machine Learning, Causal Reasoning, Computer Vision*

**Prof Christian HAESEMEYER** (Professor)

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

**Dr Jack HALL** (Senior Lecturer)

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

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

**Dr Mario KIEBURG** (Lecturer)

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

**Dr Brian KRUMMEL** (Lecturer)

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

**Dr Peter MCNAMARA** (Senior Lecturer)

Research interests: *Representation theory*

**Dr Daniel MURFET** (Lecturer)

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

**Prof Paul NORBURY** (Professor)

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

**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*

**Associate Professor 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, Homotopy Theory, Operad theory*

**Dr Volker SCHLUE** (Lecturer)

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

**Dr TriThang TRAN** (Senior Tutor)

**Prof Kari VILONEN** (Professor)

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

**Dr Susan WEI** (Lecturer)

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

**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** (Senior Lecturer)

Research interests: *Quantum groups, Geometric representation theory*

**Dr Gufang ZHAO** (Lecturer)

Research interests: *Algebra, Geometry & Topology*

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

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

## Research Fellows

**Dr Lance GURNEY** (Research Fellow)

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

## 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)
**Professor Henry SEGERMAN**

Fellow (Associate)
**Dr Craig WESTERLAND**

Fellow (Associate)