Postgraduate Theses in the School of Mathematics and Statistics
Theses submitted in 2023
PhD: | |
Yossi Bokor | Geometric and Topological Shape Analysis: Investigating and summarising the shape of data (Supervisor: Lamiae Azizi) |
Tomas Lasic Latimer | q-orthogonal polynomials and the Riemann-Hilbert problem (Supervisor: Nalini Joshi) |
Diana Nguyen | Classification of integrable systems arising from separation of variables (Supervisor: Holger Dullin) |
Yuk Wong | Machine learning in portfolio management (Supervisor: Jennifer Chan) |
MPhil: | |
Thi Bui | Spectral stability of travelling waves in the Fisher-Kolmogorov-Petrovsky-Piskunov and Fisher-Stefan models (Supervisor: Robert Marangell) |
Hao Huang | Machine learning for single-cell omics data analysis (Supervisor: Pengyi Yang) |
Zitao Wang | Statistical modelling of citation patterns for publications in Statistics journals (Supervisor: Jean Yang) |
Ziyuan Wang | Single-agent and mean-field time-inconsistent stopping problems in discrete time (Supervisor: Zhou Zhou) |
Theses submitted in 2022
Theses submitted in 2021
Theses submitted in 2020
Theses submitted in 2019
Theses submitted in 2018
Theses submitted in 2017
Theses submitted in 2016
PhD: | |
Michael Barwick | Morse classification of low order jet spaces (Supervisor: Paunescu L) |
Matthew Chan | Mathematical modelling of dispersal and evolution of life-history traits in biological populations (Supervisor: Kim P) |
John Mitry | A geometric singular perturbation approach to neural excitability (Supervisor: Wechselberger M) |
Ross Ogilvie | Deformations of harmonic tori in \(S^3\) (Supervisor: Carberry E) |
Dario Strbenac | Novel preprocessing approaches for omics data types and their performance evaluation (Supervisor: Yang J) |
Wei Wu | Limitations of dynamic programming approach: singularity and time-inconsistency (Supervisor: Goldys B) |
MPhil: | |
Huon Wilson | Computing fast and accurate convolutions (Supervisor: Keich U) |
MSc: | |
James Gregory | A q-discrete analogue of the third Painlevé equation and its linear problem (Supervisor: Joshi N) |
Andrew Swan | Global statistics of banded random matrices and the Poisson/Gaudin-Mehta conjecture (Supervisor: Olver S) |
Theses submitted in 2015
Theses submitted in 2014
Theses submitted in 2013
PhD: | |
Natalie Aisbett | Gamma polynomials of flag homology spheres (Supervisor: Henderson A) |
Nigel Chan | Uniform convergence on non-linear cointegrating regression (Supervisor: Wang Q) |
Ivan Guo | Competitive multi-player stochastic games with applications to multi-person financial contracts (Supervisor: Rutkowski M) |
Philip Howes | Geometry of Painlevé equations and birational maps (Supervisor: Joshi N) |
Ellis Patrick | Statistical methods for the analysis and interpretation of RNA-Seq data (Supervisor: Yang JH) |
Yinan Zhang | p-adic verification of class number computations (Supervisor: Watkins M and Fieker C) |
MSc: | |
Matthew Gibson | Graded decomposition numbers in type A (Supervisor: Mathas A) |
Nicholas Wilson | Dyson-Schwinger equations in quantum electrodynamics at finite temperature (Supervisor: Zhang R and Ivers D) |
Theses submitted in 2012
PhD: | |
Samuel Butler | Inverse scattering transform method for lattice equations (Supervisor: Joshi N) |
Alex Fun | Raising operators, recurrences and the Littlewood-Richardson polynomials (Supervisor: Molev AI) |
Igor Geninson | Option pricing in composite volatility models (Supervisor: Buchen PW) |
Hamish Ivey-Law | Algorithmic aspects of hyperelliptic curves and their Jacobians (Supervisor: Kohel DR) |
Ge Li | Integral basis theorem of cyclotomic Khovanov-Lauda-Rouquier algebras of type A (Supervisor: Mathas A) |
Libo Li | Random times and enlargements of filtrations (Supervisor: Rutkowski M) |
Erwin Lobo | Modelling the role of interclonal cooperativity during early carcinogenesis (Supervisor: Myerscough MR) |
Roy Nawar | On pricing and hedging of commodity derivatives and other hybrid products: theories and empirical implementations (Supervisor: Ivers DJ) |
Marten Ting | Asymptotic techniques and stochastic volatility in option pricing problems (Supervisor: Weber NC) |
Jennifer Wilcox | Some aspects of non parametric maximum likelihood for normal mixtures (Supervisor: Stewart M) |
MSc: | |
George Papadopoulos | Semi-global symplectic invariants of the Euler top (Supervisor: Dullin HR) |
Graham White | Covolumes of latticies in automorphism groups of trees and Davis complexes (Supervisor: Thomas A) |
Theses submitted in 2011
PhD: | |
Anna Campain | Challenges associated with clinical studies and the integration of gene expression data. (Supervisor: Yang Jean) |
James Edwards | Decision making by collective intelligences (Supervisor: Myerscough MR) |
Ian Gregory | Large scale simulations in mathematical finance, with application to asymptotic statistics, pairs trading and CPPI (Supervisor: Ewald CO) |
Justin Koonin | Topology of eigenspace posets for unitary reflection groups (Supervisor: Lehrer GI) |
Jonathan Kusilek | On representations of affine Hecke algebras (Supervisor: Lehrer GI) |
Lewis Mitchell | Incorporating climatological information into ensemble data assimilation (Supervisor: Gottwald GA) |
Parinya Sa Ngiamsunthorn | Domain perturbation for parabolic equations (Supervisor: Daners D) |
Allan Steel | Construction of ordinary irreducible representations of finite groups (Supervisor: Cannon JJ) |
Joanna Wang | Bayesian analysis of stochastic volatility models: Modelling and application (Supervisor: Chan JS) |
Justin Wishart | Nonparametric estimation of change-points in derivatives (Supervisor: Weber NC) |
MSc: | |
Michael Barwick | The Newton polygon and the Puiseux characteristic (Supervisor: Paunescu L) |
Pamela Guzman | Dispersive regularisations for the inviscid Burgers equation (Supervisor: Gottwald GA) |
Connie Lam | Geometric process models for financial time series (Supervisor: Chan JS) |
Theses submitted in 2010
PhD: | |
John Bourke | Codescent objects in 2-dimensional universal algebra (Supervisor: Lack S) |
Xiang Fu | Root systems and reflection representations of Coxeter groups (Supervisor: Howlett RB) |
Thomas Fung | Tail dependence and mixing in the variance gamma and related models (Supervisor: Seneta E) |
Sebastian Hermann | Numerical investigation of the large core limit of spiral waves in excitable media (Supervisor: Gottwald G) |
Ziad Jomaa | The CASL method for vortex flows in irregularly shaped domains and the numerical solution of the Poisson equation (Supervisor: Macaskill C) |
Tim Kyng | Application of Black Scholes exotic option pricing theory to real options and executive share options (Supervisor: Buchen P/Weber NC/Konstandatos O) |
Anna Ougrinovskaia | Mathematical models of atherosclerosis (Supervisor: Thompson RS) |
Neil Saunders | Minimal faithful permutation representations of finite groups (Supervisor: Easdown D) |
Wai Wan | Extensions of the Poisson geometric process model with applications (Supervisor: Chan JS) |
Theses submitted in 2009
PhD: | |
Alhaji Bachtiar | A study of planar dynamos and related issues (Supervisor: James RW) |
Richard Finlay | The variance gamma (VG) module with long range dependence (Supervisor: Seneta E) |
James Kennedy | On the isoperimetric problem for the Laplacian with Robin and Wentzell boundary conditions (Supervisor: Daners D) |
Tegan Morrison | Asymptotics of higher order Painlevé equations (Supervisor: Joshi N) |
Van Nguyen | \(W\)-graphs for Hecke algebras (Supervisor: Howlett RB) |
Yang Shi | \(q\)-Discrete Painlevé Equations and the Associated Linear Problems (Supervisor: Joshi N) |
Tony Vassallo | New models for pricing credit deriivatives (Supervisor: Buchen PW) |
Ley Wilson | \(Q\)-curves with complex multiplication (Supervisor: Kohel DR) |
MSc: | |
David Kelly | On the Topology of Synchrony Optimised Networks (Supervisor: Gottwald G) |
Michael Sun | Orbits on the enhanced and exotic nilpotent cone (Supervisor: Henderson A) |
Katharine Turner | Willmore Tori in \(S^3\) (Supervisor: Carberry E) |
Grad Dip: | |
Jong-Wook Son | N/A (Supervisor: N/A) |
Theses submitted in 2008
PhD: | |
David Gruenewald | Explicit algorithms for Humbert surfaces (Supervisor: Kohel DR) |
Mike Hay | Discrete Lax pairs, reductions and hierarchies (Supervisor: Joshi N) |
Kevin Ho Shon | Real estate leases and real options (Supervisor: Buchen PW) |
Mark Hopkins | Quantum affine algebras: quantum Sylvestor theorem, skew modules and centralizer construction (Supervisor: Molev AI) |
Shakti Menon | Bifurcation problems in chaotically stirred reaction-diffusion systems (Supervisor: Gottwald G) |
Yunchuan Yin | \(W\)-graph representations for Coxeter groups and Hecke algebras (Supervisor: Howlett RB) |
MSc: | |
Stephen Enright-Ward | CM proofs for elliptic curves over number fields (Supervisor: Kohel DR) |
John Hornibrook | Combustion waves in solid and viscous fuels (Supervisor: Gottwald G and Balasuriya S) |
Theses submitted in 2007
PhD: | |
Lucy Gow | Yangians of Lie Superalgebras (Supervisor: Molev AI) |
Mauro Grassi | The isomorphism problem for a class of finitely generated Coxeter groups (Supervisor: Howlett RB) |
Matthew Hardman | Maximum entropy and its application to option pricing. (Supervisor: Buchen PW) |
Vivek Jayaswal | General Markov Models for Nucleotide Sequence Evolution (Supervisor: Robinson J) |
Chris Ormerod | Associated linear theory of ultradiscrete Painlevé equations (Supervisor: Joshi N) |
Brad Roberts | On Bosets and Fundamental Semigroups (Supervisor: Easdown D) |
Karl Rodolfo | A comparative study of American option valuation and computation (Supervisor: Buchen PW) |
Timothy Schaerf | On contour crossings in countour-advective simulations of geophysical fluid flows (Supervisor: Macaskill CC) |
Ben Wilson | Representations of infinite-dimensional Lie Algebras (Supervisor: Molev AI/Futorny VM) |
Shona Yu | The Cyclotomic Birman-Murakami-Wenzl Algebras (Supervisor: Howlett RB) |
MSc: | |
James Edwards | Modelling Chemical Communication in Neuroglia (Supervisor: Gibson WG) |
Theses submitted in 2006
PhD: | |
Alistair Merrifield | An investigation of mathematical models for animal group movement, using classical and statistical approaches (Supervisor: Myerscough M) |
Peter O'Sullivan | The generalised Jacobson-Morosov theorem (Supervisor: Lehrer GI) |
Devindri Perera | Saddlepoint approximation methods in the analysis of panel time series data (Supervisor: Peiris MS) |
Leah Ratliff | The alternating Hecke algebra and its representations (Supervisor: Mathas A) |
Gregory White | Enumeration-based algorithms in linear coding theory (Supervisor: Cannon JJ) |
Theses submitted in 2005
PhD: | |
Faisal Ababneh | Models and estimation for phylogenetic trees (Supervisor: Robinson J) |
Sacha Blumen | Quantum superalgebras at roots of unity and topological invariants of three-manifolds (Supervisor: Zhang RB) |
James East | On monoids related to braid groups and transformation semigroups (Supervisor: Easdown D) |
Hai Ho | On Hilbert modular forms (Supervisor: Lai K) |
Krishnasamy Muraleedaran | Investigation of normalizers of parabolic subgroups of irreducible unitary reflection groups (Supervisor: Taylor DE) |
James Parkinson | Buildings and Hecke Algebras (Supervisor: Cartwright DI) |
Benjamin Smith | Explicit endomorphisms and correspondences (Supervisor: Kohel D) |
MSc: | |
Annie Tjetjep | Estimation under GNVM for Financial Data (Supervisor: Seneta E) |
Stewart Wilcox | Cellularity of Twisted Semigroup Algebras of Regular Semigroups (Supervisor: Easdown D) |
Theses submitted in 2004
PhD: | |
Noelle Antony | On Singular Artin Monoids (Supervisor: Easdown D) |
William Bertram | Modelling asset dynamics via an empirical investigation of Australian stock data (Supervisor: Buchen PW) |
Beatrice Bleile | Poincaré Duality Pairs of Dimension Three (Supervisor: Hillman JA) |
Feng Dai | Approximation of real smooth functions (Supervisor: Brown G) |
Michael Kemp | Geometric Seifert 4-manifolds with aspherical bases (Supervisor: Hillman JA) |
Otto Konstandatos | A new framework for pricing barrier and lookback options (Supervisor: Buchen PW) |
Greg Woodbury | Modelling emergent properties of the visual cortex (Supervisor: Gibson W) |
Ruxue Yu | Fixed point calculations on cones (Supervisor: Dancer EN) |
MSc: | |
Ponnuthurai Ainkaran | Analysis of some linear and nonliner time series models (Supervisor: Peiris MS) |
Henrik Latter | Topics in Kinematic Dynamo Theory (Supervisor: Ivers D) |
Stephen Meagher | Cusps of Hilbert modular surfaces and 4-folds (Supervisor: Paunescu L) |
Theses submitted in 2003
PhD: | |
Greg Lemon | Mathematical modelling of some aspects of intracellular second messenger signalling (Supervisor: Gibson W) |
Emmanuel Letellier | Fourier transforms of invariant functions on a finite Lie algebra (Supervisor: Lehrer GI/Michel J) |
Jonathan Turner | Signal processing applied to satellite magnetic data (Supervisor: Ivers D) |
MSc: | |
Lei Zhang | The interaction effect of self-heating packages in a shipping container (Supervisor: Macaskill CC) |
Theses submitted in 2002
PhD: | |
Michael Stewart | Asymptotic methods for tests of homogeneity finite mixture models (Supervisor: Robinson J) |
Peter Zeitsch | Symmetry groups for hypergeometric partial differential equations (Supervisor: Fackerell ED/Cosgrove C) |
MSc: | |
Alhaji Bachtiar | Numerical investigation of the planar flow anti-Dynamo theorem (Supervisor: James RW) |
Katherine Courtney | Asymptotics for estimators of the shape parameter for the negative binomial distribution (Supervisor: Weber NC) |
Patrick Jordan | On biordered sets, including an alternative approach to fundamental regular semigroups (Supervisor: Easdown D) |
John McCloughan | Evolving synoptic maps of the solar magnetic field (Supervisor: Durrant C) |
Fai Tsang | Gelfand-Tsetlin bases for representations of general linear algebras (Supervisor: Molev A) |
Theses submitted in 2001
PhD: | |
Melissa Cox | Models for self-organisation in insect societies. (Supervisor: Myerscough M) |
William Franzsen | Automorphisms of Coxeter groups (Supervisor: Howlett RB) |
Andrew Hayen | Some exact results for Poisson Voronoi tesselations (Supervisor: Quine MP) |
Christopher Macmeikan | The equivariant cohomology of toral complements (Supervisor: Lehrer GI) |
Usha Sridhar | Models of associative memory (Supervisor: Gibson W) |
Ilknur Tulunay | Cuspidal modules of finite general linear groups. (Supervisor: Howlett RB) |
Andrew Vincent | Mathematical analyses of ant-based systems. (Supervisor: Myerscough M) |
Theses submitted in 2000
PhD: | |
Ruth Corran | On monoids related to braid groups (Supervisor: Easdown D) |
Susan Evans-Riley | On the derived length of finite, graded Lie rings with prime-power order, and groups with prime-power order (Supervisor: Gagen T/Newman M) |
Hossein Farajollahi | Time and observables in general relativity and parametrised theories (Supervisor: Luckock H) |
Rungao Jin | Some aspects of saddlepoint approximations for non-parametric statistics (Supervisor: Robinson J) |
Rupert Littlewood | Hierarchies and asymptotics of Painlevé type equations (Supervisor: Cosgrove C) |
Hamish Meffin | Two neural models-I A cortical memory model, and II Networks of leakless integrate-and-fire neurons (Supervisor: Gibson W) |
David O'Toole | Self-organised criticality in lattice swarms (Supervisor: Myerscough M) |
MSc: | |
Kevin Ho Shon | Signal processing of dynamic positron emission tomography studies (Supervisor: Buchen PW) |
Theses submitted in 1999
PhD: | |
Robin Cobb | Infra-solvmanifolds of dimension four (Supervisor: Hillman JA) |
Clare Coleman | Circle decompositions of rings, in particular, Munn rings (Supervisor: Easdown D) |
Amitavo Islam | Constructing free distributive categories (Supervisor: Walters RFC) |
George Scoufis | An application of the inverse scattering transformation to some nonlinear integro-differential equations (Supervisor: Cosgrove C) |
MSc: | |
Ziad Jomaa | Analysis of equivalent circuits for voltage-clamp experiments (Supervisor: Gibson W) |
Krishnasamy Muraleedaran | Primitive unitary reflection groups with non-abelian fitting subgroup (Supervisor: Taylor DE) |
Theses submitted in 1998
PhD: | |
Abdulrahman Abdulaziz | Symmetric attractors of equivariant maps on the torus. (Supervisor: Dancer EN) |
Robert Cameron | Axisymmetric magnetoconvection (Supervisor: Galloway DJ) |
Clare Chapman | Investigation of synchronisation in a mathematical model of cortical function (Supervisor: Gibson W / Wright J) |
James Clark | The dynamical behaviour of a rotating thread (Supervisor: Fraser WB) |
Diana Combe | Distance transitive directed graphs and multiplicity free primitive permutation representations with almost no real irreducible constituents (Supervisor: Taylor DE) |
Alex Davyskib | Gyroscopic stabilization of a spacecraft with two antennas attached (Supervisor: Winch DE) |
Thomas Gillespie | The stochastically subordinated Poisson normal process for modelling financial assets (Supervisor: Buchen PW/Edelman DC) |
Philipp Hofflin | Intermediate alpha-omega geodynamo models (Supervisor: James RW) |
Brett McElwee | Locally ordered bisets (Supervisor: Easdown D) |
Tim Svenson | Groups acting simply transitively on \(\tilde A_n)\ buildings (Supervisor: Cartwright DI) |
Diana Warren | The Frobenius-Harper Technique in a General Recurrence Model (Supervisor: Seneta E) |
Henry Weld | On categories of asynchronous circuits (Supervisor: Walters RFC) |
MSc: | |
Gregory Cave | The stability of the two-for-one twister balloon with yarn elasticity (Supervisor: Fraser WB) |
Vinsenia Suhana | Comparison of variance estimates for parameter estimators in Cox regression (Supervisor: Weber NC) |
Theses submitted in 1997
PhD: | |
Ronen Ben Hador | Seismic surface wave computations in non-uniform layered media (Supervisor: Buchen PW) |
Jerome Blair | The Poincaré polynomials of the complex reflection groups (Supervisor: Lehrer GI) |
Damien Burtonclay | On the determination of the internal solar rotation profile through helioseismology (Supervisor: Wilson PR) |
John Crisp | Three topics in topology and group theory (Supervisor: Hillman JA) |
Robert Gates | On extensive and distributive categories (Supervisor: Walters RFC) |
Stephen Goulter | The global semi-diurnal atmospheric tides S2, L2 and N2 (Supervisor: Winch DE) |
David Jackson | On nilpotent orbits of type \(G_2\) (Supervisor: Lehrer GI) |
Rowan Kemp | Combinatorics on Fibonacci Lattices (Supervisor: Wehrhahn KH) |
Simon Ku | Tests based on sample partial autocorrelations (Supervisor: Seneta E) |
Ben Langton | Lie symmetry techniques for exact interior solutions of the Einstein field equations for axially symmetric, stationary, rigidly rotating perfect fluids (Supervisor: Fackerell ED) |
Joseph Lau | Growth of a Class of Inverse Semigroups (Supervisor: Easdown D/Howlett RB) |
Olga Podvigina | Spatially periodic steady and evolutionary solutions to the three dimensional Navier-Stokes equation and ABC forcing (Supervisor: Galloway DJ) |
Richard Rannard | Normal surfaces and the topology of three-manifolds (Supervisor: Hillman JA) |
MSc: | |
Jennifer Law | Markov models for linear growth models (Supervisor: Quine MP) |
Theses submitted in 1996
PhD: | |
Tu Chen | Multivariate Bonferroni-type inequalities and optimality (Supervisor: Seneta E) |
Piergiulio Katis | Categories and bicategories of processes (Supervisor: Walters RFC) |
Mark Leeming | Computing left Kan extensions using generalizations of the Todd-Coxeter procedure (Supervisor: Walters RFC) |
Chunsheng Ma | Asymptotic approximations for sample quantiles (Supervisor: Robinson J) |
Andrew Solomon | Concrete monoids, automata and the catalan construction (Supervisor: Easdown D) |
Remy Van de Ven | Estimation in mixed Poisson regression models (Supervisor: Weber NC) |
MSc: | |
Richard Hunt | An investigation into the variance and bias of some lag windows spectral density (Supervisor: Peiris MS) |
Ivan Le Creurer | Algebraic presentation of categories with certain limits over the category of graphs (Supervisor: Kelly GM/Sun SH) |
Theses submitted in 1995
PhD: | |
Ping Cao | Wave scattering from rough surfaces (Supervisor: Macaskill CC) |
John Graham | Modular representations of Hecke algebras and related algebras (Supervisor: Lehrer GI) |
Oliver Jones | On the geometry of varieties of invertible symmetric and skew-symmetric matrices (Supervisor: Dimca A) |
Timothy Lavers | The Vine monoid and its associated transformation monoids (Supervisor: Easdown D) |
MSc: | |
Qing Zhou | Poincaré polynomials for projective hypersurfaces (Supervisor: Dimca A) |
Theses submitted in 1994
PhD: | |
Brigitte Brink | On root systems and automacity of Coxeter groups (Supervisor: Howlett RB) |
Neil Holbrook | Temperature variability in the Southwest Pacific Ocean (Supervisor: Macaskill CC) |
Wafaa Khalil | Functional processors with applications to imperative programming (Supervisor: Walters RFC) |
John Thatcher | The chromospheres of K dwarf stars (Supervisor: Rees/Durrant CJ) |
Peter Thomson | Statistics models of synaptic transmission (Supervisor: Robinson J) |
MSc: | |
Jan Hansen | Symmetry analysis of kinematic magnetic induction equations (Supervisor: Fackerell ED) |
Chris Oliwa | A new approach to the quantization of Bianchi Class A models in supergravity (Supervisor: Luckock HC) |
Walid Ramadan | Half spin representations and the Klein correspondence (Supervisor: Taylor DE) |
Phaedra Ravier-Hay | Observation and modelling of the mixed layer in the western tropical pacific warm (Supervisor: Ivers DJ) |