Honours Projects in the Department of Mathematics

The following is a list of staff members who are willing to supervise Honours Projects for 2003. There may be some changes; please talk to the person concerned about any topic of interest!


Dr P Adams
Computational combinatorial design theory. Algorithms for solving problems in graph theory and related areas. Automatic software generation. Applications of combinatorics to DNA sequencing and drug design.

Dr J A Belward
Advanced scientific computation, surface fitting, image processing, inverse problems, Monte Carlo methods in optimisation.

Dr E J Billington     Study leave Sem 1 2003
Cominatorial designs; graph decompositions and other aspects of graph theory including trades in graphs.

Dr D Bryant
Combinatorial designs and graph theory. Algebra related to combinatorics. Combinatorial optimization. Applications of combinatorics and graph theory, including DNA sequencing, combinatorial chemistry and drug design.

Professor K Burrage
High performance computing, financial mathematics, computational biology, stochastic differential equations, environmental mathematics; Scientific Visualisation and Virtual Reality.

Dr M R Bulmer     Study leave Sem 1 2003
Automated theorem proving. Applications of stochastic optimization methods: genetic algorithms. Data mining techniques.

Dr J H Chabrowski     Study leave Sem 1 2003
PDE, ODE and nonlinear functional analysis.

Dr G A Chandler
Numerical solution of differential and integral equations. Computational problems in financial mathematics.

Dr P M Diamond
Dynamical systems and chaos, robust control.

Professor A Dobson
Variety of data analysis projects related to the Australian Longitudinal Study on Women's Health; Missing data and imputation; Robustness of groups in cluster analysis and factor analysis; Problems in monitoring infections in hospitals.

Dr D M Donovan
The study of combinatorial structures such as Latin squares, and their applications to cryptology. An analysis of the connection between strings within the context of cryptography and string within the context of the study of DNA.

Dr K E Gates
High performance computing, numerical software, parallel computing, linear algebra (eigenvalue problems), chemical rate coefficients and simulation of magnetic resonance (EPR) spectra.

Dr M D Gould     Study leave Sem 1 2003
Lie algebras, quantum groups, Hopf algebras, statistical mechanics and quantum mechanics.

Dr J Hanan
Scientific visualisation and modelling of dynamic plant architecture, plant architecture informatics.

Dr C A Holmes
Hamiltonian and dissipative chaos in continuous and discrete systems.

Dr A S Jones
Non-linear dynamics.

Dr B D Jones
Homological algebra and ring theory, including applications of Grobner bases to commutative algebra and coding theory, and the algebras arising in Mathematical Physics.

Dr A Khodkar
Critical sets in Latin squares. Defining sets in block designs.

Dr D P Kroese
Randomised algorithms for DNA/protein sequencing; matrix-analytic methods in telecommunication systems, efficient simulation techniques; network reliability/survivability.

Professor G J McLachlan
Finite mixture modelling; statistical analysis of microarray expression data; EM and related algorithms; cluster and discriminant analyses; machine learning; data mining; medical statistics.

Mr M Pemberton
Mathematical Modelling of biological systems. Epidemiology. Games theory.

Dr P Pollett
Markov process theory; computational probability; stochastic modelling in telecommunications, chemical kinetics, population bology, ecology and epidemiology.

Professor H Possingham
Optimal control of a predator-prey system using stochastic dynamic programming, optimal reserve design algorithms (integer linear programming, simulated annealing), metapopulation dynamics (simultaneous Des), stochastic modellingof populations, population ecology.

Dr H B Thompson
Nonlinear analysis, nonlinear differential equations; financial mathematics.

Dr E J Tonkes
Mathematics in sport, financial math, partial differential equations.

Dr R J Wilson
Properties of excursions of random fields and Slepian models; analysis of warranty policies; image analysis: segmentation methods, models for multiphase images.

Dr R C Wolff     Study leave Sem 1 2003
Applied and computational statistics, statistical aspects of chaos and encryption, statistics of finance and risk, non-parametric and bootstrap methods.

Dr Y-Z Zhang
Infinite-dimensional algebras, quantum groups. Representation theory, vertex operators, correlation functions and form factors in quantum systems, exactly soluble and integrable models, supersymmetry, conformal field theory, quantum field theory.


For general queries regarding Honours in the Department, see the Honours' Coordinator, A/Prof Elizabeth Billington, room 653, phone 3365 2313 (for the year 2002) or Dr Yao-Zhong Zhang, room 702, phone 3365 3256 (for the year 2003 on).

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