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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
  • Continuum Modelling
Dr. Jan DE GIER
  • Statistical Mechanics
    solvable lattice models, algebraic structures, combinatorics
  • Stochastic Processes
    exclusion processes, stochastic Loewner evolution
  • Statistical Topology
    integrable systems, geometric invariants, knot theory
Dr. Mark FACKRELL
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
Dr. Nora GANTER
Dr. Alex GHITZA
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, ergodic theory, 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
A/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
A/Prof. Paul PEARCE
  • Conformal/Quantum Field theory
  • Exact solutions of lattice models
  • Statistical Mechanics
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
Dr. Lawrence REEVES

    curvature, boundaries, decision problems
    polyhedral metrics, normal surfaces, coarse geometry
Dr. Andrew ROBINSON
  • Forest and Natural Resources Biometrics
    modelling, inventory, monitoring
  • Weed control
    critical period analysis
  • Oncology
    time series analysis
Prof. J. Hyam RUBINSTEIN
  • Differential Geometry
    incl. minimal surfaces
  • Geometric topology
    3- and 4-manifolds
  • Shortest Networks
    incl. applications to design of mining infrastructure
A/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 Media
  • Micromechanics and Thermodynamics of Complex Media
  • Constitutive Modelling
A/Prof. Ray WATSON

    population processes, epidemic modelling, martingales
    quality modelling, capture-recapture, group testing survival analysis
Dr. Craig WESTERLAND
Dr. Penny WIGHTWICK
Susan WILSON
Dr. David WOOD
A/Prof. Aihua XIA
  • Probability theory
    limit theorems, Markov processes, point processes, Stein's method, queueing networks
  • Image processing
  • Computational biology
Dr. 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
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