Dr. Melanie BAHLO 
 Bioinformatics
Bioinformatics

Prof. 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

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, 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

Prof. John CARLIN 
 Biostatistics
longitudinal data, clusterrandomised 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

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.

Prof. Edmund CRAMPIN 
 Systems Biology
biochemical networks, gene regulation, multiomics data, cancer, reproducible research
 Mathematical Biology
cellular metabolism, signalling, electrophysiology, heart disease, bionano interactions

A/Prof. Diarmuid CROWLEY 
 Differential Topology
Surgery theory, exotic spheres, contact topology, 5678manifolds
 Algebraic topology
Homotopy theory, bordism theory

A/Prof. Diarmuid CROWLEY 
 Differential Topology
Surgery theory, exotic spheres, contact topology, 5678manifolds
 Algebraic topology
Homotopy theory, bordism theory

Prof. Jan DE GIER 
 Mathematical Physics
integrable stochastic processes, exclusion processes, supersymmetric lattice models
 Solvable Models/Combinatorics
integrability, discrete holomophicity, plane partitions

Prof. Jan DE GIER 
 Mathematical Physics
integrable stochastic processes, exclusion processes, supersymmetric lattice models
 Solvable Models/Combinatorics
integrability, discrete holomophicity, plane partitions

Prof. 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

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

Prof. 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

Prof. Ian GORDON 

Prof. Anthony (Tony) GUTTMANN 
 Enumerative combinatorics
generating functions, percolation
 Lattice statistics
exact solutions, Ising models, selfavoiding walks
 Algorithm design
transfer matrices, finite lattice method

Prof. 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

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
3manifolds, geometric structures, knot theory
 Hyperbolic geometry
hyperbolic manifolds, polyhedra, computational methods
 Differential geometry
geodesics, minimal surfaces, curvature flows

A/Prof. 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

Prof. 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

Prof. Barry HUGHES 
 Mathematical Biology
development, migration, proliferation
 Stochastic Modelling
random walks, random environment, scalefree systems
 Methods of Applied Mathematics
transforms, asymptotics

A/Prof. Deborah KING 
 Tertiary mathematics education: curriculum
assessment, feedback
 Pedagogy
active learning, flipped classrooms, problembased 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
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

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 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

Dr. Juan PEREZ BERNAL 

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 manybody 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, KacMoody algebras, Lie algebras, Lie groups, cellular algebras
 Algebra
tensor categories, modular forms, Verlinde formula

A/Prof. 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

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
Bioinformatics

Prof. 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

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

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

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
Scheduling
 Statistical Mechanics and Stochastic Processes
Cellular automata
 Applied Mathematical Methods
Traffic modelling

Prof. 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
