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

Suitable for:  Second/Third year students with background in mathematics, physics, engineering who are interested in the applications of mathematical models and computer simulation into cell biology and medicine (previous background in biology is not required).

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Ms Janet Seddon

Suitable for:  High level undergraduate students with physics experience and ability to code in Python (or desire to learn).

Project:  This project will perform cosmological measurements for the Dark Energy Survey (DES).  DES is an...

Ms Janet Seddon

Suitable for:  Students with basic programming skills, ideally with a scripting language like Python, Matlab, or IDL.  Placements available for 1-2 students.

Project:  Some star clusters seem to be too massive for the number of stars they...

Ms Janet Seddon

Suitable for:  Advanced undergraduates, with strong physics or chemistry background.

Project:  To head off the threat to the planet posed by climate change we need to develop radical new technologies that change the way we generate and use...

Ms Janet Seddon

Suitable for:  Students with an interest in computational science and theoretical quantum physics.  Students should have completed at least two years of physics study, and be familiar with quantum mechanics, thermodynamics, and preferably statistical mechanics.

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Ms Janet Seddon

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...

Ms Janet Seddon

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...

Ms Janet Seddon

Suitable for:  Third year students with good programming background and knowledge of partial differential equations.

Project:  There remain questions about how failure initiates in complex geometrical situations.  We will model the stress...

Ms Janet Seddon

Suitable for:  Second or third year students with knowledge of mechanics, differential equations, and good programming skills.

Project:  Understanding the differential equations in many applied mathematics problems involves having a good...

Ms Janet Seddon

Suitable for:  Second or third year students, who must have programming skills and knowledge of systems of differential equations.

Project:  We will investigate how different types of node interconnectivity patterns affect simulated EEG patterns...

Ms Janet Seddon

Suitable for:  Master/Honours students with a good background in computational mathematics and/or scientific computing.  Proficiency in C++ is a must.

Project:  The project will focus on the development of hybrid Monte...

Ms Janet Seddon

Suitable for:  Master/Honours students with an excellent background in computational mathematics and a strong interest/background in finance (eg Master of Financial Mathematics).

Project:...

Ms Janet Seddon

Suitable for:  A strong mathematical background and good programming skills are essential.  Prior knowledge of neuroscience is not required.

Project:  With developments in super-resolution microscope technology, it is now possible to image...

Ms Janet Seddon

Suitable for:  A strong mathematical background and good programming skills are essential.  Prior knowledge of neuroscience is not required.

Project:  In the lab we are imaging the activity of many neurons in the zebrafish brain...

Ms Janet Seddon

Suitable for:  Third year and honours-level students in statistics, mathematics and/or computer science.  Familiarity with R or Matlab is highly desirable.

Project:  A novel application of generalised linear models is in the power rankings...

Ms Janet Seddon
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