## Thesis Topics and Supervisors

The following members of staff offer postgraduate supervision.

Please note: this is not an exhaustive list - please see individual staff pages for further research interests.

### Mathematics

Peter Donelan. Topics in singularities and invariants of robot manipulators, including applications of singularity theory, Riemannian geometry and computational invariant theory (Masters and PhD level)

Noam Greenberg. Classical and higher computability theory (Masters, PhD) and Set theory (Masters)

Byoung Du Kim. Number theory with focus on arithmetic geometry (Masters)

Hung Le Pham. Banach algebra theory (Masters)

Dillon Mayhew. Matroid Theory (Masters and PhD)

Mark McGuinness. The growth of sea ice - mathematical modelling of the growth of first year sea ice, with particular attention paid to the ice/ocean boundary, where turbulent flow and billows of frazil ice crystals complicate the picture. (Note: A background in differential equations and numerical methods would be useful.)

Annealing steel coils - the radial transport of heat through layers of steel and hot gas is a limiting factor in factory furnaces, and a better mathematical understanding is needed. (Note: A background in differential equations and numerical methods would be useful.)

Geoff Whittle. Combinatorics, matroid theory (Masters or PhD)

### Statistics

Richard Arnold. Capture Recapure analysis (with Shirley Pledger), Bayesian statistics with applications to medicine and physics

Petros Hadjicostas. Bayesian statistics, logistic regression, Simpson's paradox, efficiency theory in mathematical economics and data envelopment analysis, non-parametric correlation coefficients and their relation to metrics on the symmetric group, applications of special functions to mathematical statistics, gamma and zeta functions, analysis of sorting algorithms, inequalities in mathematics and statistics.

Yuichi Hirose. Missing Data in Semi-parametric Models, Profile Likelihood Estimation, Information Criteria and Model Selection, EM Algorithm and Variational Bayesian Methods.

- Statistical analysis of diversity, theory of large number of rare events
- Application of geometry in statistical problems, set-valued functions and statistics
- Goodness of fit theory, testing statistical models
- Statistical analysis of tails of distributions, extreme value theory and large deviations
- Stochastic processes in application to demography, finance and insurance
- Asymptotic statistical methods, Martingale methods in statistics
- Selected applications in biology, linguistics, finance.

Note: A PhD Scholarship is available for work on newly discovered connections between set-valued analysis and statistics. For more information, see the description.

Ivy Liu. Ordinal Response Data Analysis

Nokuthaba Sibanda. Statistical genetics, Bayesian statistics (with applications in medicine and genetics), Statistical Process Control (with applications in healthcare and industry).

### Operations Research

Mark Johnston. (All Masters projects)

- Insight from visualisation in combinatorial optimisation
- Integrating rewards with combinatorial optimisation problems
- Sports tournament scheduling and the travelling tournament problem
- Sensitivity of numerical simplification in genetic programming
- Addressing class imbalance in genetic programming for classification