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
|
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
|
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 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
|
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 |
|
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
|
Dr Stephen MUIRHEAD |
-
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
|
Dr Davis MCCARTHY |
-
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
Scheduling
-
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
|
Dr Peter MCNAMARA |
-
Representation theory
Lie theory, quantum groups, p-adic groups, perverse sheaves (geometric representation theory)
-
Algebra
Categorification, highest weight categories
|
Dr Jesse COLLIS |
-
Micro- & Nano- scale hydrodynamics
Characterisation of nanoparticles, fluid-structure interactions, oscillatory viscoelastic flows
-
Acoustofluidics
Manipulation of nanoparticles, steady streaming flows, autonomous propulsion
|
Prof Kari VILONEN |
-
Representation theory
Real groups, the Langlands program
-
Algebraic geometry
Hodge theory, geometric Langlands program, microlocal analysis
|
Dr 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 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
|
Dr Wei HUANG |
-
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
|
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
|
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
|
Dr Stuart JOHNSTON |
-
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
|
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 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
|
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,....)
|
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
|