List of Possible Supervisors

Dr. Melanie BAHLO
  • Bioinformatics
Prof. David BALDING
  • Statistical genetics
    genetic association studies, genomic prediction and genomic selection, multi-omics data analysis, demographic inferences in population genetics.
  • Statistical inference in forensic science
    low-template DNA profiles, methylation profiles, prediction
  • Computational statistics
    approximate bayesian computation
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
  • Algebraic and Enumerative Combinatorics
    Bijective combinatorics, Enumerative combinatorics, Coxeter groups and combinatorics, Orthogoanl polynomials.
  • Mathematical physics
    Exactly solvable polymer problems
  • Stochastic Processes
    Exclusion processes, birth-death process
Dr. Marcus BRAZIL
  • Computational geometry
    minimum constrained paths and networks in metric spaces
  • Network and Combinatorial Optimisation
    steiner trees, k-connected interconnection networks
Prof. John CARLIN
  • Biostatistics
    longitudinal data, cluster-randomised trials
  • Applied statistics
    missing data problems, multiple imputation
A/Prof. 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
  • Decision Sciences
    decision making with multiple attributes, decision making under uncertainty, simulation modelling for decision support
  • Clinical and Health Systems Applications of OR/MS
    prevention, early detection and treatment of diseases, operational modelling for planning and management of healthcare resources
  • Applied statistics
    clinical trials design and analysis, data mining
Dr. Nathan CLISBY
  • Monte Carlo simulation for statistical mechanical models
    self-avoiding walks, polymers, virial coefficients, algorithmic graph theory
  • Mathematical visualisation
    web application, computational geometry, combinatorial search
  • Enumerative combinatorics and series analysis
    walk models, differential approximants, enumeration algorithms, finite lattice method
Dr. Alysson COSTA
  • Operations Research
    Optimisation, Applied Discrete Mathematics, Mixed Integer Programming, (Meta)heuristics.
Prof. Edmund CRAMPIN
  • Systems Biology
    biochemical networks, gene regulation, multi-omics data, cancer, reproducible research
  • Mathematical Biology
    cellular metabolism, signalling, electrophysiology, heart disease, bio-nano interactions
Prof. Jan DE GIER
  • Mathematical physics
    integrable stochastic processes, exclusion processes, supersymmetric lattice models
  • Solvable Models/Combinatorics
    integrability, discrete holomophicity, plane partitions
  • Applications, Traffic Modelling
    cellular automata, realistic road networks
Prof. Aurore DELAIGLE
  • Nonparametric Statistics
    measurement errors, curve estimation, asymptotic theory.
  • Functional data
  • Analysis of fMRI data
  • Stochastic Modelling
    Matrix-analytic methods, phase-type distributions, matrix-exponential distributions
  • Applications
    Healthcare modelling, car parking systems
Dr. Davide FERRARI
  • Generalized likelihood methods for high-dimensional data
    Composite likelihood methods, minimum-divergence estimation, limit theorems
  • Model selection
    Confidence sets for model selection, high-dimensional statistics, large p small n asymptotics
Prof. 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
  • 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
  • Representation Theory
    homotopy theory, generalized characters
  • Categorification
    characters of 2-representations, power-operations
  • Moonshine
    Hecke actions, equivariant elliptic cohomology
  • Partial Differential Equations
    microlocal analysis, scattering and spectral theory
  • Differential Geometry
    index theory, analysis of singular spaces
  • Number theory
    modular forms, elliptic curves, Galois representations
  • Computational Algebra
    computational aspects of number theory, algebraic geometry
  • Representation Theory
    Langlands program, automorphic forms
Prof. Ian GORDON
  • Applied statistics
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. Christian HAESEMEYER
  • Algebraic geometry
    K-theory and trace methods, motives and motivic cohomology
  • Algebraic topology
    Algebraic K-theory of spaces, motivic homotopy theory
  • Algebraic K-theory
    K-theory and trace methods, motives and motivic cohomology
A/Prof. Graham HEPWORTH
  • Discrete interval estimation
    confidence intervals for a binomial parameter
  • Group testing
    estimation of proportions when units are pooled for testing
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
Prof. Barry HUGHES
  • Mathematical Biology
    development, migration, proliferation
  • Stochastic Modelling
    random walks, random environment, scale-free systems
  • Methods of Applied Mathematics
    transforms, asymptotics
A/Prof. Deborah KING
  • Tertiary mathematics education: curriculum
    assessment, feedback
  • Pedagogy
    active learning, flipped classrooms, problem-based learning, transfer
  • Students
    transition, graduate attributes, students as partners
A/Prof. James MCCAW
  • Mathematical Biology
    infectious disease epidemiology, immunology, virology, parasitology
  • Model selection and model fitting
    deterministic and stochastic models, forecasting, Markov chain Monte Carlo
Dr. Daniel MURFET
  • Algebraic geometry
    derived categories, higher categories, topological field theory
  • Mathematical logic
    linear logic, implicit computational complexity
Prof. 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
  • Multicellular Systems Biology
    Cell Based Modelling of Development and Disease, Data fitting, Multiscale Simulations
  • Numerical Analysis and Scientific Computing
    Finite Element Methods, Software Development, Multiphase Flow.
  • Mathematical Biology
    Organ and Tissue Development, Cancer, Tissue Engineering, Biofilms
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, height, spin and vertex models
  • Statistical Mechanics
    physical combinatorics, boundary properties, fractals
  • Connections with Conformal/Quantum Field Theory
    finite-size corrections, scaling dimensions, fusion
  • Stochastic Modelling
Dr. Guoqi QIAN
  • Statistical modelling and methods
    generalised regression models, Markov chain Monte Carlo, model selection, time series analysis
  • Statistical machine learning
    association rule mining, clustering and classification, information retrieval, stochastic sampling and search
  • Applied statistics
    statistical climatology, statistical ecology, statistical genetics and genomics, statistical signal processing
Dr. Thomas QUELLA
  • Mathematical Physics
    conformal field theory, quantum integrable models
  • Quantum many-body physics
    topological states of matter, tensor network states
  • Representation Theory and Applications
    lie (super) algebras, diagram algebras, quantum groups
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. Charl RAS
  • Algorithms
    computational complexity, approximation algorithms, heuristics
  • Network design
    Steiner trees, proximity graphs, network applications
  • Combinatorial optimisation
    graph theory, integer programming
Dr. Lawrence REEVES
  • Geometric group theory
    curvature conditions, boundaries, decision problems
  • Low dimensional topology
    polyhedral metrics, normal surfaces, coarse geometry
Dr. David RIDOUT
  • Mathematical physics
    conformal field theory, string theory, statistical mechanics
  • Representation Theory
    vertex algebras, Kac-Moody algebras, Lie algebras, Lie groups, cellular algebras
  • Algebra
    tensor categories, modular forms, Verlinde formula
A/Prof. Andrew ROBINSON
  • Biosecurity
    data-mining, surveillance, risk analysis
  • Forest and Natural Resources Biometrics
    modelling, inventory, monitoring
Dr. Nathan ROSS
  • Probability theory
    limit theorems, convergence rates, Stein's method
  • Stochastic Processes
    Urn models, random networks and trees
  • Differential Geometry
    incl. minimal surfaces
  • Geometric topology
    3- and 4-manifolds
  • Shortest Networks
    incl. applications to design of mining infrastructure
Prof. John SADER
  • Mechanics of Nanoscale Devices
    rarefied gas dynamics, nanoparticle mechanics, micro and nanofluidics
  • High Speed Flows
    water bells, spacecraft and hypersonic flow, turbulence
  • Atomic Force Microscopy
    cantilever mechanics, atomic force measurement modelling, development of experimental techniques
Prof. Terry SPEED
  • Bioinformatics
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
Prof. Antoinette TORDESILLAS
  • Data Analytics for Characterisation of Granular and other Heterogenous Media
    Complex Networks, Machine Learning and Dynamical Systems
  • Modelling Complex Media and Systems
    Structural Mechanics and Optimization of Networks
  • Generalized Continuum Theory and Modelling
  • Statistical genetics
    Association analysis, case-control studies, imputation of immune system genes
  • Applied statistics
    Bayesian data analysis, data visualisation
A/Prof. Ray WATSON
  • Stochastic Modelling
    population processes, epidemic modelling, martingales
  • Applied statistics
    quality modelling, capture-recapture, group testing, discrete-time survival analysis
  • 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
Prof. Aihua XIA
  • Distributional approximations
  • Point Processes
  • Markov processes
Dr. Ting XUE
  • Representation Theory
  • Algebraic groups
    Nilpotent orbits, Springer theory, Perverse sheaves
Dr. Lele (Joyce) ZHANG
  • Operations Research
  • Statistical Mechanics and Stochastic Processes
    Cellular automata
  • Applied Mathematical Methods
    Traffic modelling
Prof. Sanming ZHOU
  • Algebraic Graph Theory
    arc-transitive graphs, Cayley graphs, eigenvalues of graphs
  • Network Optimization
    graph algorithms, colouring and labelling, routing and gossiping
  • Theoretical Computer Science
    network design, perfect codes, isoperimetric problems for graphs, expansion of graphs