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Explore a comprehensive list of potential postgraduate supervisors and the research areas they work in.

You can also learn more about our researchers and their work by exploring our research areas.

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
Dr Mark FACKRELL	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
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
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
Prof Paul NORBURY	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
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
Prof Ian GORDON	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
A/Prof Sophie HAUTPHENNE	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
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
Dr Scott MULLANE	Algebraic geometry moduli space of curves and Riemann surfaces, Hurwitz spaces, birational geometry of moduli spaces Teichmuller Dynamics strata of holomorphic and meromorphic differentials, Teichmuller curves, linear manifolds
A/Prof Lele (Joyce) ZHANG	Operations Research Scheduling Statistical Mechanics and Stochastic Processes Cellular automata Applied Mathematical Methods Traffic modelling
Professor 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
Dr Peter MCNAMARA	Representation theory Lie theory, quantum groups, p-adic groups, perverse sheaves (geometric representation theory) Algebra Categorification, highest weight categories
Prof Kari VILONEN	Representation theory Real groups, the Langlands program Algebraic geometry Hodge theory, geometric Langlands program, microlocal analysis
A/Prof Mario KIEBURG	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
A/Prof Marcy ROBERTSON	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 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
Dr Wei HUANG	Nonparametric Statistics Curve estimation, Asymptotic theories Incomplete data Missing data and data measured with errors (measurement errors) Causal Inference Identification and estimation of causal relationships
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
Dr Jesse GELL-REDMAN	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
Dr Chris BRADLY	Statistical Mechanics Lattice polymers, critical phenomena Computational physics/algorithms/simulation Monte Carlo algorithms
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
A/Prof 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 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
Prof Kate SMITH-MILES	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 Hailong GUO	Numerical Solution of partial differential equations Nonstandard finite element method, adaptive algorithms Simulation of topological materials Photonic graphene, Maxwellâ€™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
Dr Pavel KRUPSKIY	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,....)
A/Prof 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 Weichang YU	Bayesian inference Variational Bayes, empirical likelihood, Bayesian nonparametrics, classification, shrinkage priors Statistical methods in medicine Causal inference, dynamic treatment regimes
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
Dr Patricia MENENDEZ	Statistical modelling and methods Time series methods, multivariate time series analysis, time series forecasting, spatio-temporal methods, machine learning methods for data with complex dependencies Applied statistics Climate change, crime research, health inequality, statistical ecology Statistical inference Statistical inference on manifolds
Dr Ian GALLAGHER	Statistical Network Analysis Network embedding, matrix factorisation, graph neural networks Machine Learning Low dimensional representations, clustering & anomaly detection Applied statistics Cybersecurity, social sciences
Dr Ye WANG	Operations Research Model Predictive Control, Learning-based Control, Reinforcement Learning Stochastic Models Stochastic Optimisation, Markov Chain, Stochastic Optimal Control Applied Mathematical Methods Control of Water-Energy Systems, Control of Autonomous Systems
Dr Alexander BROWNING	Inference of mechanistic models Identifiability analysis, Surrogate models, Model selection Modelling heterogeneity Random parameter models, Discrete and continuously structured populations, Stochastic models Mathematical oncology Treatment design, Stochastic models, Robustness