*Research in the field of discrete mathematics 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.

**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.

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

**Arun Ram**
Combinatorial representation theory.

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

**Binzhou Xia**
Group theory, combinatorics, algebraic graph theory.

**Sanming Zhou**
Algebraic graph theory, graph structure and dynamics, random graph processes, network optimisation, algebraic combinatorics, operations research, theoretical computer science.

## Research centres

**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.