We have a wide range of potential research topics. They range from short term PhB projects, to year long Honours and graduate projects and three year PhD projects.
Contact your supervisor for further discussion and ideas.

### Riemann zeta function & the distribution of primes

Dirichlet's theorem on primes in an arithmetic progression, Riemann zeta function, distribution of prime numbers.

#### Student intake

Open for Bachelor students

### Scattering theory

Scattering theory is about properties of solutions of the eigenfunction equation, usually closely related to the Laplacian.

#### Student intake

Open for Honours students

### Sensitivity Analysis of environmental models

Sensitivity analysis is an important tool in evaluating model behaviour and assessing which parameters are significant, as well as the interactions between parameters.

#### Student intake

Open for Summer scholar students

### Shaping value of information to real world conditions in water decision making

Shaping value of information to real world conditions in water decision making

#### Student intake

Open for Summer scholar students

### Spectral Sequences in Algebraic Topology

Spectral sequences in algebraic topology

#### Student intake

Open for Summer scholar students

### Statistical shape analysis using algebraic topology

I am interested in using a multi-parameter study of invariants from algebraic topology to do statistical shape analysis. The goal is to quantitatively compare geometric objects such as a set of bones, tumours, leaves, bird beaks, etc. I have both theory and application projects.

#### Student intake

Open for Bachelor, Honours, Masters, PhD students

### Surface mapping class groups

The symmetries of a manifold are described by its mapping class group, and the mapping class group (MCG) of a surface is a particularly important object.

#### Student intake

Open for Bachelor, Honours, Masters students

### Surfaces of prescribed Gauss curvature

The basic problem is to understand under what conditions it is possible to find a convex surface of prescribed Gauss curvature which also satisfies some boundary conditions.

#### Student intake

Open for Honours, Masters students

### Synthetic diagnostics for global computer networks and fusion power experiments

This project aims to characterise the properties of network-packet captures (both batched and streaming), and use a combination of statistical techniques , Fourier and higher order spectral methods and correlation analysis techniques to develop candidate reduced “forward-models” for the network parameters.

#### Student intake

Open for Summer scholar students

### Synthetic Diagnostics for Prediction, Control and Integrated modelling in ITER

Fusion plasmas can support a wide range of electromagnetic waves, ranging from pressure and current gradient driven modes to those driven unstable by fast particle-wave resonance. The diagnosis and control of fusion plasmas is contingent on the accurate modelling, prediction, and reliable measurement of such modes.

#### Student intake

Open for Honours, Masters, PhD students

### The Origin of Life on Earth

The Origin of Life on Earth

#### Student intake

Open for Honours, Masters, PhD students

### The thermodynamics (and entropy) of redistribution of energetic ions due to wave-particle interaction

This project seeks to provide a fundamental understanding of the process of energetic particle redistribution from the perspective of thermodynamics and entropy.

#### Student intake

Open for Honours, Masters, PhD students

### Topics in contact geometry

Possible topics include Legendrian and transverse knot theory, contact geometry in three-manifolds, symplectic field theory, and connections with symplectic geometry.

#### Student intake

Open for Bachelor, Honours, Masters, PhD students

### Topics in low-dimensional topology

Possible topics include knot theory, surgery on three-manifolds, Floer theory, and hyperbolic geometry. If you're interested, please contact Dr Joan Licata to discuss these or other options.

#### Student intake

Open for Bachelor, Honours, Masters, PhD students

### Topics in operator theory

Topics in operator theory

#### Student intake

Open for Honours, PhD, Summer scholar students