*Research in the field of mathematical physics from the Faculty of Science, University of Melbourne.*

## Researchers

**Nicholas Beaton**
Statistical mechanics, particularly lattice models of walks, polygons, animals and trees, and their applications to modelling interacting polymer systems.

**Chris Bradly**
Statistical mechanics and polymers

**Richard Brak**
Enumerative combinatorics, statistical mechanics, stochastic processes, critical phenomena (phase transitions), Markov processes, combinatorics, orthogonal functions and polynomials, polymers, modelling of biological systems.

**Jan de Gier**
Combinatorics, mathematical physics, integrable models, stochastic processes.

**Omar Foda**
Integrable systems, algebraic combinatorics, statistical mechanics, mathematical physics, quantum field theory, mathematics of string theory.

**Peter Forrester**
Probability theory, mathematical physics, statistical mechanics, special functions, integrable systems, random matrix theory.

**Alexandr (Sasha) Garbali**
Mathematical physics, discrete mathematics.

**Anthony (Tony) Guttmann**
Critical phenomena (phase transitions), exact solutions of lattice models, statistical mechanics, enumerative combinatorics, mathematical physics.

**Charles Hill**
Quantum computation

**Mario Kieburg**
Harmonic analysis and group and representation theory, random matrix theory, orthogonal functions and polynomials, quantum field theory, telecommunications systems, supersymmetry & graded algebras, quantum chaos, quantum information theory.

**Johanna Knapp**
String theory, algebraic geometry, gauge Theory

**Jules Lamers**
Quantum integrable systems, quantum algebra, mathematical physics, lattice polymer models, orthogonal functions and polynomials.

**Masahide Manabe**
Mathematical physics, mathematics of string theory.

**Aleks Owczarek**
Exact solutions of lattice models, statistical mechanics, enumerative combinatorics, mathematical physics, integrable systems, lattice polymer models.

**Paul Pearce**
Conformal/quantum field theory, critical phenomena (phase transitions), exact solutions of lattice models, statistical mechanics, mathematical physics, integrable systems.

**Thomas Quella**
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.

**David Ridout**
Conformal field theory, vertex operator algebras, representation theory, Lie (super) algebras, integrable models.

**Volker Schlue**
Partial differential equations, general relativity, geometric analysis.

**Michael Wheeler**
Algebraic combinatorics, exactly solvable lattice models, stochastic processes, integrable probability, symmetric function theory, combinatorics.

**Paul Zinn-Justin**
Quantum integrable systems, algebraic combinatorics, Schubert calculus.

## Research centres

**ARC Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS)**

Brings together Australia's best researchers in applied mathematics, statistics, mathematical physics and machine learning.

**Mathematical Research Institute MATRIX**

MATRIX is an international research institute that runs research programs where world lead researchers in the mathematical sciences, as well as experts from business and industry, can come together.

Research in this area is conducted in the School of Mathematics and Statistics.