# Pure Mathematics

## About

The pure mathematics group has the following subgroups:

AnalysisAlgebraic Geometry

Number theory

Representation theory

Topology

## Seminar series

Representation Theory

Pure Mathematics

Algebraic Geometry and K-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*

**Dr Nora GANTER** (Senior Lecturer)

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

**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 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 Sam POVALL** (Outreach Fellow)

Research interests: *Geometric group theory, Singularity Theory, Complex Hyperbolic Geometry*

**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** (Lecturer)

Research interests: *Geometric representation theory, Quantum groups*

**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)

## Postgraduate Students

COLMAN Owen

ELLIOT Patrick

FEHILY Zachary

GUNNA Ajeeth

HAN Songqi

LI Hui

LIU Jayson

MACLEOD Nicholas

MCGAHEN Adrian

NAGY Csaba

RAHMAN Anas

STRUMILA Michelle

SWADDLE Michael

TRINH Allan

WOOD Adam

ZHANG Jiyuan

## Honours & Masters (RT) Students

ANAGNOSTOU Lukas

BROWN Jason

CLARK Alexander

DOVE Thomas

FIELD Tyson

GUO Weiying

HALL Layne

HAMMET Jayden

HOGAN Tamara

JOHNSON Madeleine

MACHIDA Kai

MEAD William

MUSGRAVE-EVANS Curtis

PRYOR Robert

QUAN Yiran

SAUNDERS Katherine

SAVVINOS Alexius

SIMS Blake

SMITH Caleb Andrew

TAN Daniel

THOMAS Simon

TROIANI William

TSIGLOPOULOS Matthew

TURVEY Caelan

WALLIS Brendan

WALSH Adam

WAXMANN Brian

WINNING Heath

XU Kexin

YANG Yijing

YE Menglin

ZHU Yaoyao