Dr Melanie BAHLO 

Bioinformatics
Bioinformatics

Professor David BALDING 

Statistical genetics
genetic association studies, genomic prediction and genomic selection, multiomics data analysis, demographic inferences in population genetics.

Statistical inference in forensic science
lowtemplate DNA profiles, methylation profiles, prediction

Computational statistics
approximate bayesian computation

Professor 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, birthdeath process

Dr Marcus BRAZIL 

Computational geometry
minimum constrained paths and networks in metric spaces

Network and Combinatorial Optimisation
steiner trees, kconnected interconnection networks

Dr Douglas BRUMLEY 

Fluid Dynamics
Swimming organisms, coral reef flows, transport processes

Biophysics
Cellular locomotion and navigation, chemotaxis, collective dynamics, synchronization

Associate Professor Steven CARNIE 

Colloidal hydrodynamics
drops and bubbles, lubrication forces, atomic force microscope modeling

Electrokinetics
drops, porous particles, electroacoustics

Surface forces
electrical double layer forces

Dr Leonid CHURILOV 

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 Alysson COSTA 

Operations Research
Optimisation, Applied Discrete Mathematics, Mixed Integer Programming, (Meta)heuristics.

Professor Edmund CRAMPIN 

Systems Biology
biochemical networks, gene regulation, multiomics data, cancer, reproducible research

Mathematical Biology
cellular metabolism, signalling, electrophysiology, heart disease, bionano interactions

Associate Professor Diarmuid CROWLEY 

Differential Topology
Surgery theory, exotic spheres, contact topology, 5678manifolds

Algebraic topology
Homotopy theory, bordism theory

Professor Jan DE GIER 

Mathematical Physics
integrable stochastic processes, exclusion processes, supersymmetric lattice models

Solvable Models/Combinatorics
integrability, discrete holomophicity, plane partitions

Professor Aurore DELAIGLE 

Nonparametric Statistics
measurement errors, curve estimation, asymptotic theory.

Functional data

Analysis of fMRI data

Dr Mark FACKRELL 

Stochastic Modelling
Matrixanalytic methods, phasetype distributions, matrixexponential distributions

Applications
Healthcare modelling, car parking systems

Dr Davide FERRARI 

Generalized likelihood methods for highdimensional data
Composite likelihood methods, minimumdivergence estimation, limit theorems

Model selection
Confidence sets for model selection, highdimensional statistics, large p small n asymptotics

Professor 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

Professor Peter FORRESTER 

Random Matrices
integrability properties, correlation functions, applications

Combinatorics and Statistical Mechanics
dynamical processes, RobinsonSchenstedKnuth correspondence, queues

Number Theory and Physics
Riemann zeta function, substitution sequences, quasicrystals and tilings

Dr Nora GANTER 

Representation Theory
homotopy theory, generalized characters

Categorification
characters of 2representations, poweroperations

Moonshine
Hecke actions, equivariant elliptic cohomology

Dr Jesse GELLREDMAN 

Partial Differential Equations
microlocal analysis, scattering and spectral theory

Differential Geometry
index theory, analysis of singular spaces

Dr 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

Professor Ian GORDON 

Professor Anthony (Tony) GUTTMANN 

Enumerative combinatorics
generating functions, percolation

Lattice statistics
exact solutions, Ising models, selfavoiding walks

Algorithm design
transfer matrices, finite lattice method

Professor Christian HAESEMEYER 

Algebraic geometry
Ktheory and trace methods, motives and motivic cohomology

Algebraic topology
Algebraic Ktheory of spaces, motivic homotopy theory

Algebraic Ktheory
Ktheory and trace methods, motives and motivic cohomology

Associate Professor Graham HEPWORTH 

Discrete interval estimation
confidence intervals for a binomial parameter

Group testing
estimation of proportions when units are pooled for testing

Associate Professor Craig HODGSON 

Low dimensional topology
3manifolds, geometric structures, knot theory

Hyperbolic geometry
hyperbolic manifolds, polyhedra, computational methods

Differential geometry
geodesics, minimal surfaces, curvature flows

Associate Professor Mark HOLMES 

Random Media
Estimates of critical values for degenerate random environments, corrupted compass graphs

Selfinteracting Processes
Interacting particle systems: detailed rpoint functions for the voter model

Professor Richard HUGGINS 

The development and application of modern statistical techniques in biostatistics and ecological statistics
estimating equations, nonparametric models, weighted martingale estimating equations

Estimation of animal abundance in open and closed populations
capturerecapture

Professor Barry HUGHES 

Mathematical Biology
development, migration, proliferation

Stochastic Modelling
random walks, random environment, scalefree systems

Methods of Applied Mathematics
transforms, asymptotics

Associate Professor Deborah KING 

Tertiary mathematics education: curriculum
assessment, feedback

Pedagogy
active learning, flipped classrooms, problembased learning, transfer

Students
transition, graduate attributes, students as partners

Professor 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

Professor Paul NORBURY 

Moduli spaces
Riemann surfaces, magnetic monopoles, Morse theory

Geometry
3manifolds, minimal surfaces, algebraic singularities

Mathematical physics
integrable systems, gauge theory, string theory

Dr 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

Professor 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

Professor Paul PEARCE 

Exact solution of 2d lattice models
polymers, percolation, height, spin and vertex models

Statistical Mechanics
physical combinatorics, boundary properties, fractals

Connections with Conformal/Quantum Field Theory
finitesize corrections, scaling dimensions, fusion

Dr Liuhua PENG 

Highdimensional data analysis
Highdimensional hypothesis testing, variable importance and model selection

Statistical infernce for big data
Distributed inference for massive data, online updating for stream data

Associate Professor 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 manybody physics
topological states of matter, tensor network states

Representation Theory and Applications
lie (super) algebras, diagram algebras, quantum groups

Professor 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, KacMoody algebras, Lie algebras, Lie groups, cellular algebras

Algebra
tensor categories, modular forms, Verlinde formula

Associate Professor Andrew ROBINSON 

Biosecurity
datamining, 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

Professor J. Hyam RUBINSTEIN 

Differential Geometry
incl. minimal surfaces

Geometric topology
3 and 4manifolds

Shortest Networks
incl. applications to design of mining infrastructure

Professor 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

Dr Heejung SHIM 

Genomic Data Science
Statistical and machine learning methods for the analysis of complex and largescale genomic data with applications to functional genomics. Bioinformatics, Omics data analysis, Genomewide 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.

Professor Peter TAYLOR 

Stochastic Models
Markov chains, matrixanalytic methods, stochastic fluid models

Queueing Systems
decay behaviour, multidimensional queueing systems, queues with advance reservations

Applications
telecommunications, mathematical biology, reliability

Professor 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

Dr Damjan VUKCEVIC 

Statistical genetics
Association analysis, casecontrol studies, imputation of immune system genes

Applied statistics
Bayesian data analysis, data visualisation

Dr Craig WESTERLAND 

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

Professor 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
Scheduling

Statistical Mechanics and Stochastic Processes
Cellular automata

Applied Mathematical Methods
Traffic modelling

Professor Sanming ZHOU 

Algebraic Graph Theory
arctransitive 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
