List of Possible Supervisors

NAME	RESEARH AREAS & KEY WORDS
Prof. Kostya BOROVKOV	Probability theory limit theorems for random processes, large deviations, stochastic modelling Financial mathematics pricing of exotic options Risk theory
Dr. Richard BRAK	Combinatorics Bijective combinatorics, partially ordered sets, Symmetric Statistical Mechanics Exactly solvable polymer problems Stochastic Processes Exclusion processes, birth-death process
Dr. Steven CARNIE	Colloidal hydrodynamics drops and bubbles, lubrication forces, atomic force microscope modeling Electrokinetics drops, porous particles, electroacoustics Surface forces electrical double layer forces
Prof. Derek CHAN	Micro- & Nano- scale hydrodynamics flow in thin films, dynamic film stobility, bubble/solid and drop/solid interactions Soft Matter novel material assembly, wetting, surface morphology Dynamic Surface Forces coupling between forces and dynamic deformations, force measurements and analysis
Dr. Jan DE GIER	Statistical Mechanics and Combinatorics alternating sign matrices, plane partitions and random tilings, symbolic computation Mathematical Physics/Integrable models exactly solvable lattice models, Hecke algebra, special polynomials Statistical Mechanics and Stochastic Processes asymmetric exclusion process, stochastic Loewner evolution (SLE)
Dr. Aurore DELAIGLE	Nonparametric Statistics measurement errors, curve estimation
Dr. Mark FACKRELL	Stochastic Modelling Matrix-analytic methods, phase-type distributions, matrix-exponential distributions Applications Healthcare modelling, car parking systems
Dr. Omar FODA	Mathematical physics mathematical string theory, nonperturbative gauge theory Integrable models classical integrable models, quantum integrable models Representation theory infinite dimensional algebras, Lie algebraic combinatorics
Prof. Peter FORRESTER	Random Matrices integrability properties, correlation functions, applications Combinatorics and Statistical Mechanics dynamical processes, Robinson-Schensted-Knuth correspondence, queues Number Theory and Physics Riemann zeta function, substitution sequences, quasi-crystals and tilings
Dr. Heng-Soon GAN	Mixed-integer programs and hybrid techniques Mixed-integer programs, column generation & benders decomposition, stochastic programs, simulation-based optimisation, feasibility and infeasibility in optimization, metaheuristics and local search methods Applications Maritime routing and scheduling, machine scheduling, workforce design, and other planning, logistics and transportation problems
Dr. Nora GANTER
Dr. Alex GHITZA	Number theory modular forms, elliptic curves, Galois representations Computational Algebra computational aspects of number theory, algebraic geometry Representation Theory Langlands program, automorphic forms
A/Prof. Ian GORDON	Applied statistics
Dr. John GROVES	Group Theory Methods from commutative algebra, soluble groups Tropical Geometry Formulation, calculation, applications
Sharon GUNN
Prof. Anthony (Tony) GUTTMANN	Enumerative combinatorics generating functions, percolation Lattice statistics exact solutions, Ising models, self-avoiding walks Algorithm design transfer matrices, finite lattice method
Prof. Peter HALL	Nonparametric Statistics deconvolution and errors in variables, functional data analysis, very high dimensional data
Dr. Graham HEPWORTH	Discrete interval estimation confidence intervals for a binomial parameter Group testing estimation of proportions when units are pooled for testing Sport statistics cricket, football, debunking myths
Prof. Greg HJORTH	Descriptive Set Theory Equivalence relations, orbit equivalence, Polish group actions Model Theory Countable models, infinitary logic
A/Prof. Craig HODGSON	Low dimensional topology 3-manifolds, geometric structures, knot theory Hyperbolic geometry hyperbolic manifolds, polyhedra, computational methods Differential geometry geodesics, minimal surfaces, curvature flows
Prof. Richard HUGGINS	The development and application of modern statistical techniques in biostatistics and ecological statistics estimating equations, non-parametric models, weighted martingale estimating equations Estimation of animal abundance in open and closed populations capture-recapture Statistical Genetics pedigree analysis
A/Prof. Barry HUGHES	Mathematical Biology development, migration, proliferation Stochastic Modelling random walks, random environment, scale-free systems Methods of Applied Mathematics transforms, asymptotics
Dr. Iwan JENSEN	Statistical Mechanics
Dr. Owen JONES	Stochastic Processes fractals, branching processes, stochastic optimisation Mathematical Finance price modelling, risk modelling, optimal investment Stochastic Modelling biology, medicine, telecommunications
Dr. Deborah KING
A/Prof. Jerry KOLIHA	Nonabsolute integration Kurzweil-Henstock integral or generalized Riemann integral, changing the order of integration in nonabsolute integral) Fredholm operators finite dimensional null space, finite co-dimensional range, applications to equations Equations in C*-algebras C*-algebras, equations ax=c, xb=d and a*xa = c
Dr. Sally KUHLMANN
Prof. Kerry LANDMAN	Mathematical Biology developmental biology, cell migration, proliferation and differentiation Muliti-scale modelling population models, individual-based models cell migration, proliferation and differentiation
Dr. Robert MAILLARDET
Dr. Christine MANGELSDORF
Dr. Paul NORBURY	Moduli spaces Riemann surfaces, magnetic monopoles, Morse theory Geometry 3-manifolds, minimal surfaces, algebraic singularities Mathematical physics integrable systems, gauge theory, string theory
Prof. Aleks OWCZAREK	Statistical Mechanics Polymeric systems Mathematical Physics/Integrable models Exact solution of lattice models, critical phenomena Computational physics/algorithms/simulation Monte Carlo algorithms and simulations
Prof. Paul PEARCE	Exact solution of 2-d lattice models polymers, percolation, dimers, ... Statistical Mechanics physical combinatorics, boundary properties, fractals Connections with Conformal/Quantum Field Theory finite-size corrections, scaling dimensions, fusion
Dr. Guoqi QIAN	Model selection information-theoretic criterion, statistical inference, limit theorems Computational statistics Markov chain Monte Carlo, acceptance-rejection sampling, EM algorithm Statistical modeling and data analysis analysis of missing data, generalised linear mixed-effects models, analysis of time series data
Prof. Arun RAM	Representation Theory Lie type groups, quantum groups, Lie algebras Algebra, geometry, topology centralizer algebras, Reflection and braid groups, flag varieties Algebraic Combinatorics symmetric functions, Young tableaux, walks in buildings
Dr. Lawrence REEVES	Geometric group theory curvature conditions, boundaries, decision problems Low dimensional topology polyhedral metrics, normal surfaces, coarse geometry
Dr. Andrew ROBINSON	Biosecurity data-mining, surveillance, risk analysis Forest and Natural Resources Biometrics modelling, inventory, monitoring
Prof. J. Hyam RUBINSTEIN	Differential Geometry incl. minimal surfaces Geometric topology 3- and 4-manifolds Shortest Networks incl. applications to design of mining infrastructure
Prof. John SADER	Atomic Force Microscopy Continuum Modelling Colloidal interactions
Dr. Matthew SIMPSON	Continuum Modelling Numerical Methods Mathematical Biology
Prof. Peter TAYLOR	Stochastic Models Markov chains, matrix-analytic methods, stochastic fluid models Queueing Systems decay behaviour, multidimensional queueing systems, queues with advance reservations Applications telecommunications, mathematical biology, reliability
A/Prof. Antoinette TORDESILLAS	Mechanics and Physics of Granular and other Heteregenous Media Micromechanics and Thermodynamics of Complex Media Complex Networks, Structural Mechanics and Optimization of Networks Generalized Continuum Theory and Modelling
A/Prof. Ray WATSON	Stochastic Modelling population processes, epidemic modelling, martingales Applied statistics quality modelling, capture-recapture, group testing, discrete-time survival analysis
Dr. Craig WESTERLAND	Homotopy Theory loop spaces, configuration spaces, equivariant homotopy theory Homological Algebra Hochschild homology, group homology, homological stability Geometric topology moduli spaces, mapping class groups, topological field theories
Dr. Penny WIGHTWICK
Susan WILSON
Dr. David WOOD	Graph Theory structural graph theory (e.g. graph minors and treewidth), geometric graph theory (e.g. crossing number, thickness), graph colouring Combinatorial geometry Theoretical Computer Science graph algorithms, computational geometry
A/Prof. Aihua XIA	Probability theory limit theorems, Markov processes, point processes, Stein's method, queueing networks Image processing Computational biology
A/Prof. Sanming ZHOU	Algebraic Combinatorics symmetry of graphs, automorphism groups of combinatorial structures, Cayley graphs with applications Network Optimization algorithms, optimal routing and labelling, optimal network design Random Graph Processes degree-bounded graph processes, randomized algorithms