A vast amount of scientific research is now conducted using computers. The development of models and algorithms to mimic complex physical, biological and financial systems relies on sound mathematical formulations. Examples of current research in Mathematics at UQ include modelling of chemical kinetics, gene splicing, fracture of composites, pricing financial bonds and computational neroscience. Mathematics also plays a central role in the ongoing development of efficient algroithms which underpin the success of modern computing. Areas of expertise in the Mathematics department include molecular dynamics, visualization, parallel algorithms, stochastic modelling, grid computing and traditional eigenvalue and linear system solvers.

In particular, scientific computing is used by the following groups within Mathematics:

Available Projects

Many real-world quantitative problems are solved nowadays through Monte Carlo methods: that is, through random experiments on a computer....
Professor Dirk Kroese

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
Organic solar cells differ from conventional (inorganic) ones in several ways. Most importantly, organic materials are disordered, meaning that charges tend to be localised and move by hopping---quite distinct from the band transport in...
Dr Ivan Kassal

The properties of complex networks are difficult to study without the aid of simulation, and so efficient and reliable simulation techniques for random networks are of great interest.  Two such methods are degree distributions and graph motifs.

In this project, you will investigate...

Dr Thomas Taimre

Stochastic game theory is the study of strategic interactions between actors in an environment where their payoffs are affected by the actions of all players in the past.

In this project, you will investigate in simulation simple models for stochastic network games, where the environment...

Dr Thomas Taimre

The Poisson lily-pond model is a spatial germ--grain process, whose ``germs'' are points of a Poisson process with ``grains'' growing at uniform rate from these germs, stopping when their boundaries touch.  While some results regarding the size of the largest connected...

Dr Thomas Taimre

A diffusion process on a Riemannian manifold has infinitesimal generator which is fundamentally related to the Laplace--Beltrami operator on that manifold.  For a...

Dr Thomas Taimre

The excess-phase model for interferometric signals is a simple model which well captures much of the complex behaviour observed in laser interferometers. ...

Dr Thomas Taimre

Mixture models are a powerful tool for many statistical applications, including density estimation from data.  
This project focuses on using mixture models in sequential or on-line importance sampling.  A specific application of interest is to the estimation of rare events,...

Dr Thomas Taimre

Stochastic differential equations driven by Brownian motion or L\'evy processes are well established as models for many real-world phenomena.  Just as there are efficient...

Dr Thomas Taimre

Random sums of random variables arise in many contexts of applied probability such as the probability of buffer overflow in queues, or when considering the probability of ruin for risk models.  When such quantities of interest cannot be evaluated precisely, there are many well established...

Dr Thomas Taimre

To head of the threat to the planet posed by climate change we need to develop radical new technologies that change the way we generate and use electricity. Solar cells and OLEDs represent two sides of this coin (light...

Professor Ben Powell

Photosynthetic organisms harvest light through large antenna complexes containing many chlorophyll molecules. Recent experiments have found that energy may be transported through antenna...

Dr Ivan Kassal

This project deals with control of traffic light systems in large urban networks. It has recently been suggested to apply model predictive control techniques which involve large scale optimization repeatedly. The goal of this project is to analyze the associated optimization problems and find...

Dr Yoni Nazarathy

This project is aimed at a theoretical and computational exploration of the quantum-atom optics of ultracold matter.  The goal is to design and characterise novel high-...

Dr Michael Bromley

A number of projects are available in the area of predicting the macroscopic properties of materials from a knowledge of their microstructure. Depending on the background and interests of the student the projects can focus on
1. applied probabilistic modelling of material structures using...

Associate Professor Anthony Roberts