School of Mathematics and Statistics
Postgraduate Program
The University of Sydney
spcr

Postgraduate Theses in the School of Mathematics and Statistics

 

Theses submitted in 2008

 
MSc:
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)
Mark Hopkins Quantum affine algebras: quantum Sylvestor theorem, skew modules and centralizer construction (Supervisor: Molev AI)
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)
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 AP)
Timothy Schaerf On contour crossings in countour-advective simulations of geophysical fluid flows (Supervisor: Macaskill CC)
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 Poincare 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)
Yunchuan Yin W-graph representations for Coxeter groups and Hecke algebras (Supervisor: Howlett RB)
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)
Matthew Hardman Maximum entropy and its application to option pricing.  (Supervisor: Buchen PW)
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:
Clare Chapman Investigation of synchronisation in a mathematical model of cortical function (Supervisor: Gibson W)
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)
Tim Svenson Groups acting simply transitively on $\tilde A_n$ buildings (Supervisor: Cartwright DI)
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)
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)
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 Poincare 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/Weber N)
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 Poincare 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)