List of Possible Supervisors

Below is a comprehensive list of potential postgraduate supervisors in Mathematics and Statistics. Please also consult the pages of our Research Groups: Applied Mathematics, Data Science, Deep Learning, Discrete Mathematics, Learning and Teaching Innovation, Mathematical Biology, Mathematical Physics, Operations Research, Pure Mathematics, Statistics, Stochastic Processes.

Name Research Areas & Keywords
Prof Kostya BOROVKOV
  • Probability theory
    limit theorems for random processes, large deviations, stochastic modelling
  • Financial mathematics
    pricing of exotic options
  • Risk theory
Prof Jan DE GIER
  • Mathematical Physics
    integrable stochastic processes, exclusion processes, supersymmetric lattice models
  • Solvable Models/Combinatorics
    integrability, discrete holomophicity, plane partitions
  • Stochastic Modelling
    Queueing theory, Matrix-analytic methods
  • Operations Research
    Game theory, stochastic optimisation, machine learning
  • Healthcare modelling
    Patient flow in hospitals, donor flow in donor centres
  • 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
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 Deborah KING
  • Tertiary mathematics education: curriculum
    assessment, feedback
  • Pedagogy
    active learning, flipped classrooms, problem-based learning, transfer
  • Students
    transition, graduate attributes, students as partners
  • Algebraic geometry
    moduli space of Riemann surfaces, enumerative geometry, cohomological field theories
  • Gauge Theory
    Higgs bundles, instantons, monopoles
  • Mathematical Physics
    integrable systems, string theory, moduli space of super Riemann surfaces
  • 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
Professor Gordon SMYTH
  • Statistical bioinformatics
    Empirical Bayes, over-dispersion, multiple testing, RNA-seq, ChIP-seq, Hi-C, cancer genomics
  • Computational statistics
    generalized linear models, REML, R programming
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
Prof Aihua XIA
  • Distributional approximations
  • Point Processes
  • Markov processes
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
Emeritus Professor 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 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
  • Applied statistics
A/Prof Graham HEPWORTH
  • Discrete interval estimation
    confidence intervals for a binomial parameter
  • Group testing
    estimation of proportions when units are pooled for testing
Associate Professor Lawrence REEVES
  • Geometric group theory
    curvature conditions, boundaries, decision problems
  • Low dimensional topology
    polyhedral metrics, normal surfaces, coarse geometry
Professor Andrew ROBINSON
  • Biosecurity
    data-mining, surveillance, risk analysis
  • Forest and Natural Resources Biometrics
    modelling, inventory, monitoring
A/Prof 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
Prof Aurore DELAIGLE
  • Nonparametric Statistics
    measurement errors, curve estimation, asymptotic theory.
  • Functional data
  • Analysis of fMRI data
  • Stochastic Processes
    Markov chains, branching processes, queueing theory
  • Applied probability
    Matrix-analytic methods, population biology and ecology, epidemic models
  • Statistical inference
    Stochastic models
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
  • Probability theory
    Random fields, Gaussian processes, percolation, random walks in random media
Professor Paul ZINN-JUSTIN
  • Mathematical Physics
    exactly solved models
  • Algebraic Combinatorics
    symmetric functions, Schubert calculus
A/Prof Nora GANTER
  • Representation theory
    homotopy theory, generalized characters
  • Categorification
    characters of 2-representations, power-operations
  • Moonshine
    Hecke actions, equivariant elliptic cohomology
A/Prof 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
  • Genomic Data Science
    Statistical and machine learning methods for the analysis of complex, high-dimensional genomic data, particularly single-cell gene expression and other single-cell 'omics data
  • Bioinformatics
    Development of statistical and machine learning methods and software for the analysis of single-cell 'omics data
  • Applied statistics
    Bayesian data analysis, factor analysis, computational statistics, count data models, machine learning
Dr Lele (Joyce) ZHANG
  • Operations Research
  • Statistical Mechanics and Stochastic Processes
    Cellular automata
  • Applied Mathematical Methods
    Traffic modelling
A/Prof 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
  • Representation theory
    Lie theory, quantum groups, p-adic groups, perverse sheaves (geometric representation theory)
  • Algebra
    Categorification, highest weight categories
  • Micro- & Nano- scale hydrodynamics
    Characterisation of nanoparticles, fluid-structure interactions, oscillatory viscoelastic flows
  • Acoustofluidics
    Manipulation of nanoparticles, steady streaming flows, autonomous propulsion
  • Representation theory
    Real groups, the Langlands program
  • Algebraic geometry
    Hodge theory, geometric Langlands program, microlocal analysis
  • Random Matrix Theory
    integrability properties, correlation functions, applications (telecommunications, time series analysis, quantum field theory, quantum chaos, quantum information)
  • Supersymmetry & Graded Algebras
    non-linear sigma models, superbosonisation
  • Harmonic Analysis and Group & Representation Theory
    Matrix Groups, Lie Algebras, Symmetric Spaces
A/Prof Nathan ROSS
  • Probability theory
    limit theorems, convergence rates, Stein's method
  • Stochastic Processes
    Urn models, random networks and trees
Prof Howard BONDELL
  • Computational statistics
    Bayesian inference, regularisation, variational Bayes
  • Statistical Learning
    Model selection, high-dimensional data, robust statistical methods
  • Modelling and Analysis of Complex Data
    Personalised medicine, missing data, hierarchical models
A/Prof Alysson COSTA
  • Operations Research
    Optimisation, Applied Discrete Mathematics, Mixed Integer Programming, (Meta)heuristics.
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
  • Abstract Homotopy Theory
    model categories, infinity-categories, higher category theory
  • Operads
    weak algebras, Grothendieck-Teichmueller group
  • Algebraic topology
    algebraic invariants of spaces
A/Prof Charl RAS
  • Algorithms
    computational complexity, approximation algorithms, heuristics
  • Network design
    Steiner trees, proximity graphs, network applications
  • Combinatorial optimisation
    graph theory, integer programming
A/Prof Ting XUE
  • Representation theory
  • Algebraic groups
    Nilpotent orbits, Springer theory, Perverse sheaves
A/Prof James OSBORNE
  • 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
Dr Binzhou XIA
  • Algebraic Graph Theory
    arc-transitive graphs, Cayley graphs
  • Group Theory
    permutation groups, group factorizations
Dr Daniel MURFET
  • Algebraic geometry
    derived categories, singularity theory, geometric aspects of topological quantum field theory
  • Theoretical Computer Science
    linear logic, categorical logic, theory of deep learning
Dr Heejung SHIM
  • Genomic Data Science
    Statistical and machine learning methods for the analysis of complex and large-scale genomic data with applications to functional genomics. Bioinformatics, Omics data analysis, Genome-wide association analysis of complex traits.
  • Applied Statistics and Machine learning
    Bayesian data analysis, Computational statistics, Machine learning, deep learning.
  • Phylogenetics
    Stochastic processes for modeling trait evolution on phylogeny, Phylogeny reconstruction from unaligned multiple sequences.
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
Prof Stephen LESLIE
  • Statistical and population genetics
    Detecting and controlling for population structure; demographic inference; association studies; imputation of complex genetic variation
  • Bioinformatics
    Methods for single cell -omics analyses; assembly of long-read data
  • Nonparametric Statistics
    Regression, Asymptotic theories
  • Functional data
  • Incomplete data
    Missing scalar data or incomplete functional data analysis
Dr Thomas QUELLA
  • Mathematical Physics
    Conformal field theory, string theory, supersymmetry, quantum integrable models, theoretical aspects of machine learning
  • Strongly correlated quantum systems
    Topological states of matter, quantum computing, tensor network states, quantum information theory, path integral methods
  • Representation Theory and Applications
    Finite and infinite dimensional Lie (super)algebras, diagram algebras, quantum groups
A/Prof Diarmuid CROWLEY
  • Differential topology
    Surgery theory, exotic spheres, contact topology, 5-6-7-8-manifolds
  • Algebraic topology
    Homotopy theory, bordism theory
  • Partial Differential Equations
    microlocal analysis, scattering and spectral theory
  • Differential geometry
    index theory, analysis of singular spaces
Professor Mark HOLMES
  • Probability and stochastic processes
    Reinforcement processes, interacting particle systems, random walks, random media, Markov chains
Professor Kim-Anh LE-CAO
  • Computational statistics
    Dimension reduction, matrix factorisation, penalised regression
  • Big biological data
    Analysis of single cell transcriptomics, microbiome, omics
  • Systems Biology
    Data integration, Projection to Latent Structure models, Canonical Correlation Analysis
Dr Douglas BRUMLEY
  • Fluid Dynamics
    Swimming organisms, coral reef flows, transport processes
  • Biophysics
    Cellular locomotion and navigation, chemotaxis, collective dynamics, synchronization
Dr Tingjin CHU
  • Spatial statistics
    asymptotic theory, spatial binary and count data, statistical climatology, spatial machine learning.
  • Statistical methodology
    statistical computing for large data, model selection, traffic analysis
Dr Liuhua PENG
  • Statistical inference for big data
    distributed statistical inference, massive data
  • Extreme value theory with application in statistics and economics
    Extreme value theory
  • High-dimensional data analysis
    High-dimensional hypothesis testing, model selection
Professor Jennifer FLEGG
  • Mathematical Biology
    wound healing, tumour growth, infectious diseases
  • Applied statistics
    computational Bayesian statistics, geospatial statistical mapping
Dr Jean-Emile BOURGINE
  • Mathematical Physics
    String theory, Supersymmetric gauge theories, integrable systems, quantum groups, symmetric functions
  • Mathematical Biology
    bio-nano interactions, collective cell behaviour, synthetic biology, animal navigation
  • Stochastic Modelling
    random walks, extinction processes, continuum approximations
Dr Yaping YANG
  • Representation theory
    Lie theory, quantum groups, Knizhnik-Zamolodchikov equations, Cohomological Hall algebras
  • Geometry & Topology
    Toric Calabi-Yau manifolds, oriented cohomology theory, quiver varieties
  • Operations Research
    combinatorial optimisation, multi-objective optimisation, modelling real-world problems, heuristic methods
  • Machine Learning
    dimension reduction, classification, forecasting, clustering
  • Algorithmic Science
    methodologies for performance analysis, generation of benchmark test instances
Dr Susan WEI
  • Machine Learning
    Reinforcement learning, classification and clustering
  • Applied statistics for biomedical applications
    Personalised medicine, mobile health, medical imaging analysis
  • Statistical inference
    High-dimensional hypothesis testing, change-plane models, dynamical systems
Dr Hailong GUO
  • Numerical Solution of partial differential equations
    Nonstandard finite element method, adaptive algorithms
  • Simulation of topological materials
    Photonic graphene, Maxwell’s equation, fast methods
  • Surface modeling and Computation
    Manifold learning
Dr Chenyan WU
  • Algebraic number theory
    automorphic representations, theta correspondence, Langlands program
  • Algebraic geometry
    Abelian varieties
Dr Gufang ZHAO
  • Representation theory
    Quantum algebras, homogeneous spaces, geometric and topological methods
  • Algebraic geometry
    Symmetries, geometry motivated by physics, symplectic and hyperkahler spaces, singularities
  • Topology
    Elliptic cohomology, motivic homotopy, applications in representation theory
  • Modeling financial data
    Volatility clustering, risk measures, joint distribution of asset returns
  • Spatial data and environmental applications
    Covariance functions, spatial covariates, spatial interpolation
  • Modeling extremes
    Tail probabilities, measures of dependence, tail dependence, heavy tails
Dr Volker SCHLUE
  • Geometric analysis
    analysis of PDEs, Riemannian and Lorentzian geometry, geometric flows
  • Partial Differential Equations
    wave equations, hyperbolic partial differential equations in mathematical physics, continuum mechanics
  • General relativity
    black holes, gravitational waves, cosmology, stars
Dr Mingming GONG
  • Machine Learning
    Causal Inference, Transfer Learning, Deep Generative Models
  • Computer Vision
    3D vision, Face Recognition, Image/Video Generation
  • Biomedical Informatics
    Gene Regulatory Network Learning, Medical Image Analysis
Dr Dennis LEUNG
  • High-dimensional statistics
    High-Dimensional Asymptotics, Measures of Independence
  • Graphical models
    Identifiability, Causal Inference
  • Multiple testing
    False Discovery Rate, Adaptive Testing
Dr Johanna KNAPP
  • Mathematical Physics
    String theory, Supersymmetric field theories, Mathematics related to string theory (algebraic geometry, categories,....)
Dr Matthew TAM
  • Continuous optimisation
    iterative algorithms, monotone operator splitting, nonsmooth optimisation
  • Nonsmooth optimisation
    set-valued and variational analysis, regularity notions, symbolic convex analysis
  • Applications of optimisation
    imaging, signal processing, machine learning, heuristic derived from continuous optimisation
A/Prof Jack HALL
  • Algebraic geometry
    moduli spaces, algebraic stacks, derived categories, algebraization
Dr Christopher BAKER
  • Mathematical Biology
    Ecological modelling, Invasive species management, Infectious disease epidemiology
  • Applied statistics
    Bayesian inference, model selection, intractable likelihood problems
A/Prof Agus SALIM
  • Statistical bioinformatics
    Generalized linear models for omics data, RNA-seq, single-cell RNA-seq data analysis
  • Risk Prediction Models
    Genomics risk prediction, Lipidomics risk prediction with emphasis on cardiovascular disease
  • Statistical Models for real-time Data from Wearable Devices
    Continuous Glucose Monitoring (CGM), Physical Activity Monitoring
Dr Camelia WALKER
  • Mathematical Biology
    Infectious disease epidemiology
  • Stochastic Modelling
    Markov chains, models with population structure
  • Applied statistics
    Bayesian inference, model selection, intractable likelihood problems
Dr Edward HINTON
  • Environmental Fluid Dynamics
    Modelling of CO2 storage, lava flows, ice sheets
  • Methods of Applied Mathematics
    Asymptotic analysis, free boundary problems, similarity solutions of first and second kind
Dr Christopher DUFFY
  • Graph Theory
    Graph colouring and homomorphism, orientation problems, discrete-time processes, dominating sets
  • Theoretical Computer Science
    Graph algorithms and computational complexity