Mathematical Physics is an interdisciplinary research area focussed on developing novel mathematical techniques associated with applications of modern physics. Many breakthroughs in the development of physical theories, particularly in the realm of quantum physics, have been underpinned by the application of key mathematical methods. The research conducted in Mathematical Physics at UQ covers a broad spectrum from areas of pure mathematics such as Lie algebras, quantum algebras, supersymmetry, low dimensional topology and category theory through to applications in areas such as ultra-cold atoms, condensed matter systems, quantum nanoscience and quantum information science. Staff are also active in promoting Mathematical Physics through regular workshops and seminar series.

Available Projects

Lie algebras, Lie groups, and their representation theories are instrumental in our description of symmetries in physics and elsewhere. They also occupy a central place in pure mathematics where they often provide a bridge between...

Associate Professor Jorgen Rasmussen

Student projects are available in the areas of dynamical systems and ergodic theory. Possible topics include the analytical and computational study of metastable and coherent structures. Such structures encode important properties of the long term behaviour of the underlying system. They have...

Dr Cecilia González Tokman

Representations of semisimple Lie algebras is one of the most beautiful parts of mathematics in the 20th century. It draws on...

Dr Masoud Kamgarpour

Defined by the eminant mathematical physics Nigel Hitchin, the Hitchin's...

Dr Masoud Kamgarpour

Lattice models are key tools in the analysis of a large class of physical systems in statistical mechanics. The inessential artifacts of the lattice are washed out in the continuum scaling limit. In this limit, many so-called...

Associate Professor Jorgen Rasmussen

Conformal field theory plays a fundamental role in string theory and in the description of phase transitions in statistical mechanics. The basic symmetries of a conformal field theory are generated by infinite-dimensional Lie...

Associate Professor Jorgen Rasmussen

Diagram algebras offer an intriguing mathematical environment where computations are performed by diagrammatic manipulations. Applications include knot theory and lattice...

Associate Professor Jorgen Rasmussen

The Langlands program is one of the most ambitious research projects in mathematics. In the past decade it has become clear that representations of affine...

Dr Masoud Kamgarpour

 

Modelling the behavior of correlated electrons in finite systems is at the heart of theoretical chemistry.  Many sophisticated techniques have been...

Dr Seth Olsen

 

This project involves using minimal physical Hamiltonian models to study the flow of energy and information associated with the dynamical breakdown of the Born...

Dr Seth Olsen

This project will seek to generalise existing mathematical techniques in Representation Theory with applications to Quantum Information Science. In particular, we seek to develop analogues of the famous Wigner 3nj symbols or their recoupling counterparts for various classes of finite dimensional...

Dr Phil Isaac

Conventional superconductivity is described by the classic theory of Bardeen,  Cooper and Schrieffer (BCS), based on the notion of pairing between fermions. The traditional approach has been to study such models in the framework of mean-field theory. However in recent years it has emerged...

Associate Professor Jon Links

Quasi exact solvability is closely related to exact solvability. If all the eigenvalues of a quantum mechanical system are known together with the corresponding eigenfunctions the system is exactly solvable. In contrast a system is quasi exactly solvable if only a finite number (usually the...

Associate Professor Yao-Zhong Zhang

Analytic computation of correlation functions is a very challenging problem in the theory of exactly soluble models in condensed matter physics and integrable quantum field theories. There is much interest in this field internationally leading to high-profile research activity at present. A key...

Associate Professor Jon Links

Superalgebras have emerged in a wide variety of areas ranging from high energy and condensed matter physics such as topological field theory logarithmic conformal field theories (CFTs) the integer quantum Hall transition sigma models on supergroup manifolds and superstring theory (the only...

Associate Professor Yao-Zhong Zhang