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Postgraduate Theses in the School of Mathematics and Statistics

Theses submitted in 2023

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)
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

Gaston Burrull Naredo On the combinatorics of parabolic Schubert varieties (Supervisor: Geordie Williamson)
Yue Cao Methods towards precision bioinformatics in single cell era (Supervisor: Jean Yang)
Matthew Cassell Asymptotically Reduced Models in Strong Field Magnetoconvection (Supervisor: Geoff Vasil)
Joshua Ciappara Hecke Category Actions Via Smith--Treumann Theory (Supervisor: Geordie Williamson)
Timothy Collier A doubly nonlinear fractional diffusive equation (Supervisor: Daniel Hauer)
Yue He Stochastic processes with applications in physics and insurance (Supervisor: Ray Kawai)
Richard Hunt Investigations into seasonal ARMA processes (Supervisor: Shelton Peiris)
Jieun Kim Computational tools for the integrative analysis of muti-omics data to decipher trans-omics networks (Supervisor: Yang P)
Taiyun Kim Development of statistical methods for integrative omics analysis in precision medicine (Supervisor: Pengyi Yang)
Yingxin Lin Statistical modelling and machine learning for single cell data harmonisation and analysis (Supervisor: Yang JYH)
Isabella Loughland Transient responses to thermal change and underlying mechanisms (Supervisor: Frank Seebacher)
Jonathan Mui Eventual positivity and asymptotic behaviour for higher-order evolution equations (Supervisor: Daniel Daners)
Chenxiao Song Monte Carlo variance reduction methods with applications in structural reliability analysis (Supervisor: Ray Kawai)
Kane Townsend Sylow classes of reflection subgroups and pseudo-Levi subgroups (Supervisor: Henderson A)
Giulian Wiggins Stratified categories and a geometric approach to representations of the Schur algebra (Supervisor: Oded Yacobi)
Xiangnan Xu A statistical framework for nutriomics data analysis (Supervisor: Jean Yang)
Yunwei Zhang Statistical methods for complex multi-modality kidney disease data (Supervisor: Jean Yang)

Theses submitted in 2021

Nicholas James Statistical learning approaches for time series analysis (Supervisor: Chan JS)
Chunxi Jiao Semidefinite relaxations for a linear programming approach to exit-time stochastic control (Supervisor: Kawai R)
Mengfan Lyu Generalized Temperley-Lieb algebras for imprimitive reflection groups (Supervisor: Lehrer GI)
Haruki Osaka Asymptotics of mixture model selection (Supervisor: Stewart M)
George Papadopoulos Summer School versus term-time for undergraduate mathematics (Supervisor: Easdown D)
Qinjing Qiu Iterative approximations and hard bounds for stochastic process with jumps (Supervisor: Kawai R)
Connor Smith Resampling Based Model Selection for Correlated and Complex Data (Supervisor: Muller S)
Hao Wu Modelling and Estimation of Vector Gegenbauer Processes with Financial Applications (Supervisor: Peiris MS)
Yeeka Yau Automatic Structures for Coxeter Groups (Supervisor: Parkinson JW)
Yilin Ma Nonlinear Calderón Problem on Stein Manifolds (Supervisor: Tzou L)
Andy Tran Statistical Modelling for Cell Reprogramming (Supervisor: Ormerod JT)
Madeleine Cartwright Collective coordinates approach for travelling waves in stochastic partial differential equations (Supervisor: Gottwald GA)

Theses submitted in 2020

Ishraq Ahmed Multiphase models of early atherosclerotic plaque formation (Supervisor: Myerscough MR)
Kristen Emery Controlling the FDR through multiple competition (Supervisor: Keich U)
Sean Gardiner On maximal subgroups of idempotent-generated semigroups associated with biordered sets (Supervisor: Easdown D)
Joel Gibson A Demazure character formula for the product monomial crystal (Supervisor: Yacobi O)
Eric Hester Modelling fluid-solid interactions (Supervisor: Vasil GM)
Bernard Ikhimwin A computational model of the initial/pre-collecting lymphatics, and a study of lymphatic valvogenesis (Supervisor: Myerscough MR)
Samuel Jelbart Beyond slow-fast: relaxation oscillations in singularly perturbed non-smooth systems (Supervisor: Wechselberger M)
Edward Kim Arbitrage-free valuation in nonlinear financial models (Supervisor: Rutkowski M)
Adarsh Kumbhari Mathematical models of cellular dysfunction (Supervisor: Kim PS)
Pantea Pooladvand Mathematical models in oncolytic virotherapy and immunology. (Supervisor: Kim PS)
James Yang Singular Perturbation of Stochastic Control and Differential Games (Supervisor: Goldys B)
Yang Zhang Combinatorics of Milnor fibres of reflection arrangements (Supervisor: Zhang RB)
Carol Badre The finite and infinite generation of groups acting on CAT(0)-cube complexes (Supervisor: Thomas A)
Zacharia Issa Robust quantitative finance and martingale optimal transport (Supervisor: Hauer D)
Mengbo Li Integration of multi-model data to guide classification in studies of complex diseases (Supervisor: Yang JYH)
Vishnu Mangalath Singularities of Whitham deformations (Supervisor: Carberry EE)
Mark Perrin Semialgebraic Geometry (Supervisor: Paunescu L)

Theses submitted in 2019

Huda Alrashdi q-discrete Painleve equations, their hierarchies and properties (Supervisor: Joshi N)
Becky Armstrong Simplicity of twisted C*-algebras of topological higher-rank graphs (Supervisor: Brownlowe N)
Timothy Bywaters Connections between Willis' theory for totally disconnected locally compact groups and graph automorphisms (Supervisor: Ramagge J)
Sean Carnaffan Anomalous diffusion processes: Stochastic models and their properties (Supervisor: Kawai R)
Nathan Duignan On the regularisation of simultaneous binary collisions (Supervisor: Dullin HR)
Hugh Ford Theory and experiments on cannibalism in macrophages (Supervisor: Myerscough MR)
Brent Giggins Stochastically Modified Bred Vectors (Supervisor: Gottwald GA)
Adrianne Jenner Applications of Mathematical Modelling in Oncolytic Virotherapy and Immunotherapy (Supervisor: Kim PS)
Alexander Kerschl Simple modules of cyclotomic Hecke algebras (Supervisor: Mathas A)
Sara Loo Mathematical modelling of the evolution of human behaviours and strategic choice (Supervisor: Kim PS)
Sarah Romanes Discriminant analysis methods for large scale and complex datasets (Supervisor: Ormerod JT)
Dominic Tate Collections Titles Authors Publication year Subjects This collection Titles Authors Publication year Subjects My account Sign out Profile Submissions Statistics Most popular items Statistics by country Most popular authors On the Fock-Goncharov moduli space for real projective structures on surfaces: cell decomposition, buildings and compactification (Supervisor: Tillmann S)
Ana Tiplea Super-replication of American options in an uncertain volatility model (Supervisor: Goldys B)
Yuxiang Wang A statistical framework for incorporating multi-omics technologies for precision medicine (Supervisor: Yang JYH)
Caroline Wormell Statistical properties of chaotic systems: from 1D maps to high dimensions (Supervisor: Gottwald GA)
Weichang Yu Bayesian variable selection for high-dimension discriminant analysis (Supervisor: Ormerod JT)
Jonathan Eade Mathematical models for the study of the transmission of Nosema ceranae through a honey bee colony (Apis mellifera) (Supervisor: Myerscough MR)
Zeaiter Zeaiter The Effect of Thermoregulatory Stress on Honey Bee Hives (Supervisor: Myerscough MR)

Theses submitted in 2018

Alex Casella Branched CR structures on once-punctured torus bundles (Supervisor: Tillmann S)
Leanne Dong Stochastic Navier-Stokes equations on the 2D rotating spheres with stable Lévy noise (Supervisor: Goldys B)
Mark Greenaway Numerically stable approximate Bayesian methods for generalized linear mixed models and linear model selection (Supervisor: Ormerod J)
Lucy Klinger A mean field game analysis of sponsored search auctions (Supervisor: Ivers D)
Qing Liu Elliptic asymptotic behaviours of continuous and discrete Painlevé equations (Supervisor: Joshi N)
Steven Luu Exponential asymptotics for discrete Painlevé equations (Supervisor: Joshi N)
Alexander Majchrowski Convex and two-convex hypersurfaces along exterior flows (Supervisor: Zhang Z)
Ali Mohammadi On the sum-product phenomenon in arbitrary finite fields and its applications (Supervisor: Watkins M)
Desmond Ng Nonlinear pricing in discrete-time under default and optimal collateral (Supervisor: Rutkowski M)
Matthew Nolan Geometry of integrable lattice equations and their reductions (Supervisor: Joshi N)
Andrew Phillip On Gegenbauer long memory stochastic volatility models: A Bayesian Markov chain Monte Carlo approach with applications (Supervisor: Chan J)
Shonal Singh Spaces of initial values of differential equations with the Painlevé property (Supervisor: Joshi N)
Jakub Tomczyk Correlated square root process in finite and infinite dimensions (Supervisor: Goldys B)
Michael Twiton Analysis of singular solutions of certain Painlevé equations (Supervisor: Joshi N)
Hongxuan Yan Generalised linear Gegenbauer long memory models for time series of counts with financial and insurance applications (Supervisor: Chan J)
Dickson Annor On the Varieties of Representations into GL(4;C): The Trefoil Knot (Supervisor: Tillmann S)
Zeina Haidar Periodic trajectories of pseudo-integrable billiard within circle with a barrier (Supervisor: Radnovic M)
Huimin Yuan Analysis of Fractionally Differenced Processes with Heteroscedastic Errors (Supervisor: Peiris S)

Theses submitted in 2017

Louis Bhim Polynomial bounds for solutions to boundary value and obstacle problems with applications to financial derivative pricing (Supervisor: Kawai R)
Kamil Bulinski Interactions between ergodic theory and combinatorial number theory (Supervisor: Fish A)
Ting-Ying Chang On singular solutions of weighted divergence operators (Supervisor: Cirstea F)
Joshua Ching Singular solutions of nonlinear elliptic equations with gradient terms (Supervisor: Cirstea F)
Shila Ghazanfar Statistical approaches to harness high throughput sequencing data in diverse biological systems (Supervisor: Yang J H)
Thanakorn Nitithumbundit EM algorithms for multivariate skewed variance gamma distribution with unbounded densities and applications (Supervisor: Chan J)
Thomas Porter A higher order analysis of sparse normal mixtures (Supervisor: Stewart M)
Kerry-Lyn Roberts Geometric singular perturbation theory and averaging: Analysing torus canards in neural models (Supervisor: Wechselberger M)
Pieter Roffelsen On the global asymptotic analysis of a q-discrete Painlevé equation (Supervisor: Joshi N)
Joachim Worthington Stability theory and Hamiltonian dynamics in the Euler ideal fluid equations (Supervisor: Dullin HR)
Philip Bos On Ramanujan's tau-function, modular forms and Hecke operators (Supervisor: Parkinson J)

Theses submitted in 2016

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)
Huon Wilson Computing fast and accurate convolutions (Supervisor: Keich U)
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

Alex Chalmers Mathematical modelling of atherosclerosis (Supervisor: Myerscough MR)
Gnanadarsha Dissanayake Advancement of fractionally differenced Gegenbauer processes with long memory (Supervisor: Peiris S)
Matthew Fitzpatrick Multi-regime models involving Markov chains (Supervisor: Stewart M)
Kaushala Jayawardana Prognostic methods for integrating data from complex diseases (Supervisor: Yang JH)
Kevin Murray Improved monotone polynomial fitting with applications and variable selection (Supervisor: Mueller S)
John Nakhoul The Kahler-Ricci flow on Riemann surfaces (Supervisor: Carberry E)
Danya Rose Geometric phase and periodic orbits of the equal-mass, planar three-body problem with vanishing angular momentum (Supervisor: Dullin HR)
Andrew Stephan Convection driven dynamos in rotating spheres (Supervisor: Ivers DJ)
Silvio Tarca Regulatory capital modelling for credit risk (Supervisor: Rutkowski M)
William Tong Coupled rigid body dynamics with application to diving (Supervisor: Dullin HR)
Montek Gill Representations of the fundamental groups of triangulated 3-manifolds (Supervisor: Tillmann S)
Michael Hendriksen Minimal permutation representations of classes of semidirect products of groups (Supervisor: Easdown D)
Damian Sercombe A family of uniform lattices acting on a Davis complex with a non-discrete set of covolumes (Supervisor: Paunescu L)

Theses submitted in 2014

Alexander Badran Arbitrage-free models for VIX and equity derivatives (Supervisor: Goldys B)
Clinton Boys Alternating quiver Hecke algebras (Supervisor: Mathas A)
Alice Dong Bayesian analysis of reserving models and applications (Supervisor: Chan JS)
Darren Engwirda Locally optimal Delaunay-refinement and optimisation-based mesh generation (Supervisor: Ivers DJ)
John Maclean Numerical multiscale methods for ordinary differential equations (Supervisor: Gottwald G)
Inga Samonenko Nonparametric permutation test statistics and their saddlepoint approximations (Supervisor: Robinson J)
Duncan Sutherland Numerical study of vortex generation in bounded flows with no-slip and partial slip boundary conditions (Supervisor: Macaskill C)
Nicole Sutherland Algorithms for Galois extensions of global function fields (Supervisor: Donnelly S and Fieker C)
Emi Tanaka Statistical methods for improving motif evaluation (Supervisor: Keich U)
Garth Tarr Quantile based estimation of scale and dependence (Supervisor: Weber NC)
Victor Vera Ruiz Recoding of Markov processes in phylogenetic models (Supervisor: Robinson J)
Theodore Vo Geometric singular perturbation analysis of mixed-mode dynamics in pituitary cells (Supervisor: Wechselberger M)
Gareth White Algorithms for Galois group computations over multivariate function fields (Supervisor: Donnelly S and Fieker C)
Chong You Model selection and estimating degrees of freedom in Bayesian linear and linear mixed models (Supervisor: Mueller S)

Theses submitted in 2013

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)
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

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)
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

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)
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

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

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)
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

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)
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

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)
James Edwards Modelling Chemical Communication in Neuroglia (Supervisor: Gibson WG)

Theses submitted in 2006

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

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)
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

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)
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

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)
Lei Zhang The interaction effect of self-heating packages in a shipping container (Supervisor: Macaskill CC)

Theses submitted in 2002

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)
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

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

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)
Kevin Ho Shon Signal processing of dynamic positron emission tomography studies (Supervisor: Buchen PW)

Theses submitted in 1999

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)
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

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)
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

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)
Jennifer Law Markov models for linear growth models (Supervisor: Quine MP)

Theses submitted in 1996

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)
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

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)
Qing Zhou Poincaré polynomials for projective hypersurfaces (Supervisor: Dimca A)

Theses submitted in 1994

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)
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)