# Mathematical Physics

## About

Mathematical Physics is the study of the mathematics associated with models of the physical world. One important and modern part of mathematical physics is the study of models in statistical mechanics. Statistical mechanics involves the understanding of large complex systems by averaging the behaviour of the individual components. For example, one can understand the behaviour of a gas without describing the motion of all the molecules involved, simply by knowing the type and strength of the forces between the molecules, using the principles of statistical mechanics. This powerful idea can be applied to many and varied systems in the natural world and in the human arena. It was not said lightly by a leading scientist that 'a well-trained statistical mechanician can tackle any problem' since, for example, statistical mechanics graduates can be found working in high-end financial organisations, in brain research or working for the Human Genome Project.

## Seminar series

## Academic Staff

**Dr Richard BRAK** (Senior Lecturer)

Research interests: *Enumerative combinatorics, Statistical Mechanics, Stochastic Processes, Critical Phenomena (phase transitions), Markov processes, Combinatorics, Orthogonal functions and polynomials, Polymers, Modelling of biological systems*

**Prof Jan DE GIER** (Head of School)

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

**Prof Omar FODA** (Professor)

Research interests: *Mathematics of string theory, Quantum field theory, Mathematical Physics, Statistical Mechanics, Algebraic Combinatorics, Integrable systems*

**Prof Peter FORRESTER** (Professor)

Research interests: *Probability theory, Mathematical Physics, Statistical Mechanics, Special functions, Integrable systems, Random Matrix Theory*

**Emeritus Professor Anthony (Tony) GUTTMANN** (Professor)

Research interests: *Critical Phenomena (phase transitions), Exact solutions of lattice models, Statistical Mechanics, Enumerative combinatorics, Mathematical Physics*

**Dr Mario KIEBURG** (Lecturer)

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

**Dr Anthony MAYS** (Outreach Fellow)

Research interests: *Mathematical Physics, Random Matrix Theory, Juggling mathematics*

**Prof Aleks OWCZAREK** (Professor)

Research interests: *Exact solutions of lattice models, Statistical Mechanics, Enumerative combinatorics, Mathematical Physics, Integrable systems, Lattice polymer models*

**Prof Paul PEARCE** (Professorial Fellow (Associate))

Research interests: *Conformal/Quantum Field theory, Critical Phenomena (phase transitions), Exact solutions of lattice models, Statistical Mechanics, Mathematical Physics, Integrable systems*

**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*

**Dr David RIDOUT** (Senior Lecturer)

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

**Dr Volker SCHLUE** (Lecturer)

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

**Dr Michael WHEELER** (Senior Lecturer)

Research interests: *Algebraic Combinatorics, Exactly solvable lattice models , Stochastic Processes, Integrable probability, Symmetric function theory*

**A/Prof Paul ZINN-JUSTIN** (Associate Professor)

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

## Research Fellows

**Dr Nicholas BEATON** (Research Fellow)

**Dr Alexandr (Sasha) GARBALI** (Research Fellow)

Research interests: *Mathematical Physics, Discrete Mathematics*

**Dr Jesper IPSEN** (Research Fellow)

**Dr Jules LAMERS** (Postdoctoral Research Fellow)

Research interests: *Quantum integrable systems, Quantum algebra, Mathematical Physics, Lattice polymer models, Orthogonal functions and polynomials*

**Dr Masahide MANABE** (Research Fellow)

Research interests: *Mathematical Physics, Mathematics of string theory*

**A/Prof Paul ZINN-JUSTIN** (ARC Future Fellow)

## Honorary Staff

**Professor Ian ENTING **

Principal Fellow (Associate)
**Prof Paul PEARCE**

Professorial Fellow (Associate)

## Postgraduate Students

CHEN Zeying – ‘Exact solutions to multi-species exclusion processes’

ELVEY PRICE Andrew

MACLEOD Nicholas

MOORE William – ‘Bi-orthogonal Polynomials and the Combinatorics of Asymmetric Simple Exclusion Process’

TRINH Allan

VITTORINI ORGEAS Alessandra – ‘Exact solution of nonunitary lattice models in two dimensional statistical mechanics’

XU Ruijie – ‘Some interacting quarter plane walk rpoblems’

ZHANG Jiyuan

## Masters (RT) Students

FIELD Tyson

MAHONY Ned

PRYOR Robert

SELVAM Sharanya

TAN Daniel

TURVEY Caelan