Research Supervisors - School of Mathematics
| Supervisor Name | Research Areas | Email address |
|---|---|---|
PURE MATHEMATICS | ||
| Dr Santiago Barrera Acevedo | Algebraic design theory, cocyclic Hadamard matrices, relative difference sets, correlation of finite arrays, and other combinatorial designs. | Santiago.Barrera.Acevedo@monash.edu |
| Dr Yann Bernard | Functional analysis, harmonic analysis, geometric analysis, elliptic and parabolic PDEs, variational calculus. | Yann.Bernard@monash.edu |
| Dr Julie Clutterbuck | Eigenvalues, parabolic equations, heat flow, geometric analysis, calculus of variations, geometric evolution equations, mean curvature flow. | Julie.Clutterbuck@monash.edu |
| Prof Heiko Dietrich | Computational algebra, in particular, group theory, Lie theory, and some aspects of algebraic design theory. | Heiko.Dietrich@monash.edu |
| A/Prof 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. | Norm.Do@monash.edu |
| Prof Jerome Droniou | Numerical methods for elliptic and parabolic PDEs, polytopal meshes, high-order methods, finite volume methods, convergence analysis, compactness techniques. | Jerome.Droniou@monash.edu |
| A/Prof Zihua Guo | Harmonic/Fourier analysis, nonlinear PDEs of dispersive type and Fluid dynamics. | Zihua.Guo@monash.edu |
| Dr Andy Hammerlindl | Dynamical systems and ergodic theory. Interactions between geometry, topology, and dynamics. | Andy.Hammerlindl@monash.edu |
| A/Prof Daniel Horsley | Combinatorial designs and edge decompositions of graphs, especially embedding, colouring and matching problems for block designs and cycle decompositions of graphs. | Daniel.Horsley@monash.edu |
| Dr Mikhail Isaev | Analytic methods in enumerative combinatorics, generating functions, asymptotic analysis, random graphs and hypergraphs | Mikhail.Isaev@monash.edu |
| Dr Ngan Le | Theoretical and numerical analysis of stochastic partial differential equations, anomalous sub-diffusion equations. | Ngan.Le@monash.edu |
| A/Prof Daniel Mathews | Low-dimensional topology, knot theory, contact and symplectic topology, hyperbolic geometry, Heegaard Floer homology, mathematical physics, topological quantum field theory, and their algebraic, geometry, and combinatorics. | Daniel.Mathews@monash.edu |
| 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. | Todd.Oliynyk@monash.edu |
| A/Prof Burkard Polster | Finite and topological geometry, combinatorial designs, group theory, history of mathematics, classical interpolation theory, computer visualisation, mathematics education and outreach. | Burkard.Polster@monash.edu |
| Prof Jessica Purcell | Low-dimensional topology and geometry. | |
| Dr Wenhui Shi | Nonlinear Partial Differential Equations, calculus of variations. | Wenhui.Shi@monash.edu |
| Prof Warwick Tucker | Dynamical systems, Chaos theory, Computer-assisted proofs, Artificial intelligence. | Warwick.Tucker@monash.edu |
| Prof Ian Wanless | Latin squares and other combinatorial matrices; quasigroups, matrix permanents, graph theory (matchings, factorisations, random graphs), enumeration algorithms for combinatorial objects. | Ian.Wanless@monash.edu |
| 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. | David.Wood@monash.edu |
| 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. | Nick.Wormald@monash.edu |
APPLIED AND COMPUTATIONAL MATHEMATICS | ||
| Prof Santiago Badia | COMPUTATIONAL MATHEMATICS: Numerical approximation of PDEs, Computational Science and Engineering, Parallel Scientific Computing, Numerical Linear Algebra | Santiago.Badia@monash.edu |
| Prof Paul Cally | Solar physics, magnetohydrodynamics, helioseismology, MHD waves. | Paul.Cally@monash.edu |
| Dr Simon Clarke | Evolution of nonlinear waves in geophysical fluid dynamics, numerical modelling meteorology, modeling density-stratified fluids. | Simon.Clarke@monash.edu |
| Dr Tiangang Cui | Computational inverse problems; Uncertainty quantification; Model reduction; Machine learning; Computational geophysics; Subsurface flows. | Tiangang.Cui@monash.edu |
| Dr Kengo Deguchi | Mathematical physics, High-speed fluid flows, asymptotic analysis, nonlinear PDEs (Naiver-Stokes equations), dynamical systems theory picture of turbulence. | Kengo.Deguchi@monash.edu |
| Dr Alina Donea | Solar Physics, Applied Mathematics for Helioseismology, Solar flares, Machine Learning Data Applications and solar quakes. | Alina.Donea@monash.edu |
| Prof Jerome Droniou | Numerical methods for elliptic and parabolic PDEs, polytopal meshes, high-order methods, finite volume methods, convergence analysis, compactness techniques. | Jerome.Droniou@monash. |
| Prof Andreas Ernst | Operations Research, Integer Programming, Meta-heuristics, Applications of optimisation in logistics, mining & rostering. | Andreas.Ernst@monash.edu |
| Dr Mark Flegg | Applied mathematics, Mathematical modelling, Applied stochastic processes, multiscale modelling and Mathematical biology. | Mark.Flegg@monash.edu |
| Prof Phil Hall | Applied Mathematics, nonlinear stability theory, turbulence. | Phil.Hall@monash.edu |
| Dr Ngan Le | Theoretical and numerical analysis of stochastic partial differential equations, anomalous sub-diffusion equations. | Ngan.Le@monash.edu |
| Dr Janosch Rieger | I am working on the numerical and analytical treatment of stationary and evolving shapes and sets with applications in control theory, inverse problems and dynamical systems. | Janosch.Rieger@monash.edu |
| A/Prof Ricardo Ruiz Baier | Numerical analysis of PDEs, mixed finite element methods, modelling of multiphase flow in porous media, large solid deformations, cardiac electromechanics. | Ricardo.RuizBaier@monash.edu |
| A/Prof Anja Slim | Theoretical, numerical, and experimental fluid dynamics, especially relevant to geology and industrial processes. | Anja.Slim@monash.edu |
| Prof Warwick Tucker | Dynamical systems, Chaos theory, Computer-assisted proofs, Artificial intelligence. | Warwick.Tucker@monash.edu |
| Dr Theodore Vo | Geometric singular perturbation theory; Canard theory; Dynamical systems; Spiking and bursting in excitable cells; Mixed-mode oscillations; Neuronal signalling; Early afterdepolarisations in cardiomyocytes. | Theodore.Vo@monash.edu |
STOCHASTIC PROCESSES | ||
| A/Prof Andrea Collevecchio | Stochastic processes, large deviations and applications to statistical mechanics, random graph theory, self-interacting random processes, urn models. | Andrea.Collevecchio@monash.edu |
| Dr Hasan Fallahgoul | Theoretical and Empirical Asset pricing, financial econometrics, machine learning | Hasan.Fallahgoul@monash.edu |
| A/Prof Tim Garoni | Mathematical physics, statistical mechanics, combinatorics (probability on graphs), Markov chain Monte Carlo methods | Tim.Garoni@monash.edu |
| 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. | Kais.Hamza@monash.edu |
| A/Prof Jonathan Keith | Bayesian modelling and computational methods, bioinformatics, invasive species modelling and epidemiology. | Jonathan.Keith@monash.edu |
| Prof Fima Klebaner | Stochastic processes, probability; stochastic models, populations models, financial mathematics, volatility, market models, martingales, random perturbations, applied probability. | Fima.Klebaner@monash.edu |
| Prof Gregoire Loeper | Optimal transport, Financial mathematics, Non-linear PDE's, Monge-Ampere equation. | Gregoire.Loeper@monash.edu |
| Dr Gregory Markowsky | Stochastic processes, Markov chains, complex analysis, probability on graphs, financial mathematics. | Greg.Markowsky@monash.edu |
| Dr Kihun Nam | Backward stochastic differential equations, optimal control of random systems such as dynamic random network, stochastic differential game, and their application to finance and biology. | Kihun.Nam@monash.edu |
| A/Prof Tianhai Tian | Mathematical modelling of complex biological systems, including genetic regulatory networks, cell signalling transduction pathways, and cancer therapy. Inference of complex networks from big data. | Tianhai.Tian@monash.edu |
| Dr Yu Tian | Retirement income product design and pricing, portfolio optimisation, derivatives pricing and risk management. | Oscar.Tian@monash.edu |