Research Supervisors - School of Mathematics

Supervisor Name Research Areas Email address


Dr Santiago Barrera AcevedoAlgebraic design theory, cocyclic Hadamard matrices, relative difference sets, correlation of finite arrays, and other combinatorial
Dr Yann Bernard Functional analysis, harmonic analysis, geometric analysis, elliptic and parabolic PDEs, variational calculus.
Dr Julie Clutterbuck Eigenvalues, parabolic equations, heat flow, geometric analysis, calculus of variations, geometric evolution equations, mean curvature flow.
A/Prof Heiko Dietrich Algebra and its computational aspects: group theory and p-groups, lie algebras, computing with matrix groups. Computer algebra systems GAP and Magma.
Dr Norman Do Geometry, topology, combinatorics and mathematical physics, enumerative geometry, moduli spaces of curves, Gromov-Witten theory, graphs on surfaces, matrix models and topological recursion.
Prof Jerome Droniou Theoretical and numerical analysis of partial differential equations, elliptic and parabolic equations, Scalar conservation laws with non-local fractional power of the Laplace operator (Levy operator).
A/Prof Zihua Guo Harmonic analysis: boundedness in function spaces for linear/multilinear operators related to the Fourier restriction problem and PDEs, function spaces. Nonlinear evolutionary PDEs arising in mathematical physics.
Dr Andy Hammerlindl Dynamical systems and ergodic theory.  Interactions between geometry, topology, and dynamics.
A/Prof Daniel Horsley Steiner triple systems and other combinatorial designs, colourings of combinatorial designs, cycle decompositions of graphs and other graph decomposition problems.
Dr Mikhail IsaevAnalytic methods in enumerative combinatorics, generating functions, asymptotic analysis, random graphs and
Dr Daniel Mathews Contact and symplectic topology, hyperbolic geometry, Heegaard Floer homology, and topological quantum field theory.
Prof Todd Oliynyk Partial differential equations, singular limits of symmetric hyperbolic systems, geometric PDE's, general relativity, Newtonian limit, post-Newtonian expansions, Einstein-Yang-Mills, gravitating perfect fluids and elastic bodies, geometric flows, Ricci flow, renormalization group flow.
Dr Brett ParkerDifferential and algebraic geometry and topology, symplectic geometry, mathematical physics, holomorphic curves and Gromov-Witten invariants, tropical
A/Prof Burkard Polster Finite and topological geometry, combinatorial designs, group theory, history of mathematics, classical interpolation theory, computer visualisation, mathematics education and outreach.
Prof Jessica Purcell Topology and geometry, particularly hyperbolic geometry and 3-manifolds, and applications to knot theory.

Dr Wenhui ShiElliptic and parabolic PDEs, calculus of variaions, free boundary problems (obstacle and Stefan type problems)
Prof Ian Wanless Latin squares and other combinatorial matrices; quasigroups, matrix permanents, graph theory (matchings, factorisations, random graphs), enumeration algorithms for combinatorial objects.
Prof David Wood Discrete mathematics and theoretical computer science, with an emphasis on structural graph theory, geometric graph theory, graph colouring, graph drawing, and combinatorial geometry.
Prof Nick Wormald Random structures and probabilistic combinatorics, graph theory, enumeration of graphs and maps, asymptotic enumeration and minimal Steiner trees. Solving combinatorial problems using real and complex analysis, probability and stochastic processes, and generating functions.


Prof Santiago BadiaNumerical approximation of PDEs, Computational Engineering and Science, Parallel Scientific Computing, Numerical Linear
Prof Paul Cally Solar physics, magnetohydrodynamics, helioseismology, MHD waves.
Dr Simon Clarke Evolution of nonlinear waves in geophysical fluid dynamics, numerical modelling meteorology, modeling density-stratified fluids.
Dr Tiangang Cui
Computational Inverse problems; data assimilation; Model reduction; PDE-constrained optimisation; Markov chain Monte Carlo; Computational geophysics; Subsurface modelling (oil/gas and geothermal)
Dr Kengo Deguchi Dynamical systems theory picture of purely- and magneto-hydro dynamic turbulence, and asymptotic analysis of coherent vortices in it.
Dr Alina-Catalina Donea Solar flares and solar quakes, helioseismic holograph, high energy astrophysics of black holes and relativistic jets, ultra high energy cosmic rays.
Prof Jerome Droniou Theoretical and numerical analysis of partial differential equations, elliptic and parabolic equations, scalar conservation laws with non-local fractional power of the Laplace operator (Levy operator). Jerome.Droniou@monash.
Prof Andreas Ernst Operations Research, Integer Programming, Meta-heuristics, Applications of optimisation in logistics, mining & rostering.
Dr Mark Flegg Mathematical modelling of biological and chemical processes, including cell behaviour and interaction, reaction-diffusion processes, tissue morphogenesis and signal transduction. Modelling ultrasound interaction with cancellous bone.
Prof Phil Hall Geomorphology, turbulence, fluid dynamics.
Dr Janosch Rieger Control theory, numerical dynamics, optimisation, convex and set-valued
A/Prof Ricardo Ruiz BaierDesign and analysis of numerical methods for PDEs, modelling of fluid transport in porous media, computational cardiac
Dr Anja Slim Theoretical, numerical, and experimental fluid dynamics, especially relevant to geology and industrial processes.


A/Prof Andrea Collevecchio Stochastic processes, large deviations and applications to statistical mechanics, random graph theory, self-interacting random processes, urn models.
Dr Amogh DeshpandeTheoretical and computational approaches to problems in financial and actuarial
Dr Hasan FallahgoulFinancial econometrics, quantitative finance, tail risk, Model risk, asset pricing, asset allocation, Economic models under
A/Prof Tim Garoni Mathematical physics, statistical mechanics, combinatorics (probability on graphs), Markov chain Monte Carlo methods, stochastic cellular automata, modeling traffic flow on networks.
A/Prof Kais Hamza General theory of stochastic processes, representation properties for martingales, markov jump processes, applications of stochastic processes to modelling of financial markets.
A/Prof Jonathan Keith Bayesian statistics, Markov chain Monte Carlo methods, bioinformatics, computational biology, comparative genomics, functional genomics, phylogenetics, genetic epidemiology, genome-wide association studies, linkage analysis, stylometry.
Prof Fima Klebaner Stochastic processes, probability; stochastic models, populations models, financial mathematics, volatility, market models, martingales, random perturbations, applied probability.
Prof Gregoire Loeper Non-linear PDEs: Elliptic & parabolic PDEs, PDEs of fluid mechanics and kinetics, Optimal transportation and Monge-Ampere Equation.
Mathematical Finance: Stochastic Control, Numerical Methods for Finance, Exotic products pricing methods.
Dr Gregory Markowsky Stochastic processes, Markov chains, complex analysis, probability on graphs, financial mathematics.
Dr Kihun NamBackward stochastic differential equations, optimal control of random systems such as dynamic random network, stochastic differential game, and their application to finance and
A/Prof Tianhai Tian Mathematical modelling of complex biological systems, including genetic regulatory networks, cell signalling transduction pathways, and cancer therapy. Inference of genetic regulation from omics datasets. Numerical simulation of stochastic chemical reaction systems. Numerical solutions for stiff stochastic differential equations. Parallel computing.