Title Project Discription Level Supervisor
SRS-15/17 Patterns of EEG in network models of human brains

Note:  While this project is hosted by another UQ unit at Herston (not SMP), students studying Maths/Physics are encouraged to apply.

Suitable for:  Students with a background in mathematics, physics, electrical engineering and...

Summer Project Ms Janet Seddon
SRS-14/17 Simulation of brain network

Note:  While this project is hosted by another UQ unit at Herston (not SMP), students studying Maths/Physics are encouraged to apply.

Suitable for:  Students with a background in Applied Mathematics, Physics, and Electrical...

Summer Project Ms Janet Seddon
Lie superalgebras

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...

Masters Project
Honours Project
Associate Professor Jorgen Rasmussen
Dynamical Systems and Ergodic Theory

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...

PhD Project
Masters Project
Honours Project
Dr Cecilia González Tokman
Representations of jet Lie algebras

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

Masters Project Dr Masoud Kamgarpour
Hitchin's fibration and its application in mathematics and physics

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

PhD Project Dr Masoud Kamgarpour
Integrability and discrete holomorphicity

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...

PhD Project
Masters Project
Associate Professor Jorgen Rasmussen
Representation theory of infinite-dimensional Lie algebras

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...

PhD Project
Masters Project
Associate Professor Jorgen Rasmussen
Diagram algebras and integrable lattice models

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

PhD Project
Masters Project
Honours Project
Associate Professor Jorgen Rasmussen
Affine algebras and Langlands program

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...

PhD Project Dr Masoud Kamgarpour
Quantum-Tomographic Approaches to the Interpretation of Semi-Empirical Quantum Chemistry Models

 

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

PhD Project Dr Seth Olsen
An Information-Theoretic Approach to Nonadiabatic Quantum Molecular Dynamics

 

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

PhD Project Dr Seth Olsen
Representation theory of finite dimensional Hopf algebras:

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...

PhD Project Dr Phil Isaac
Exact solutions of superconductivity models

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...

PhD Project Associate Professor Jon Links
Quasi exactly solvable quantum mechanical systems

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...

PhD Project
Masters Project
Associate Professor Yao-Zhong Zhang
Quantum correlations in quantum field theory and integrable systems

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...

PhD Project
Masters Project
Associate Professor Jon Links
Current superalgebra and conformal field theory approach to disordered systems

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...

PhD Project
Masters Project
Associate Professor Yao-Zhong Zhang