# Thesis topics and supervisors

The following members of staff offer postgraduate supervision.

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).
- Rod Downey—Computability, complexity, combinatorics and algebra.
- Rob Goldblatt—Mathematical and philosophical logic, including model theory of modal and other intensional logics and algebraic logic.
- Adam Day—Algorithmic randomness, computability theory and models of set theory.
- 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
- Yuichi Hirose—Missing Data in Semi-parametric Models, Profile Likelihood Estimation, Information Criteria and Model Selection, EM Algorithm and Variational Bayesian Methods.
- Estate Khmaladze—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 and selected applications in biology, linguistics, finance.
- 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).

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