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Research supervisors
 

Research Supervisors - School of Mathematical Sciences

Supervisor Name Research Areas Telephone Email address
Prof. Robert Bartnik Einstein equations; black hole geometry; spacetime energy; differential geometry; analysis of partial differential equations; numerical methods for Einstein equations. +61 3 9905 4484 Robert.Bartnik@monash.edu
Dr Danijel Belusic Multi-scale analysis of atmospheric flows; atmospheric turbulence and waves; mesoscale meteorology; mountain meteorology; air-sea interaction; measurements of the atmospheric boundary layer; atmospheric modelling. +61 3 9905 4411 danijel.belusic@monash.edu
Dr. Gareth Berry Focussed on synoptic-dynamic meteorology, primarily in the tropics; interested in elucidating the pertinent dynamics that govern atmospheric processes on the synoptic and mesoscales, especially their interactions; uses a blend of in-situ and remote sensing observations to compliment results from reanalysis products and numerical models in order to address research questions. +61 3 9905 4466 Gareth.Berry@monash.edu
Dr. Leo Brewin Numerical solution of Einstein's equations; numerical algorithms. +61 3 9905 4456 Leo.Brewin@monash.edu
Prof. Paul Cally Solar physics; magnetohydrodynamics; helioseismology; MHD waves. +61 3 9905 4471 Paul.Cally@monash.edu
Dr. Eric Chu Numerical analysis; especially numerical linear algebra, and applications in vibration analysis; engineering design and control system design. +61 3 9905 4480 Eric.Chu@monash.edu
Dr. Simon Clarke Evolution of nonlinear waves in geophysical fluid dynamics. This includes analytic and numerical techniques for the investigation of such problems, and an understanding of the flows in which such waves occur. +61 3 9905 4421 Simon.Clarke@monash.edu
Dr. Laura Davies The physical processes of convection and how the representation of convection in numerical models can be improved: idealised modelling experiments, coupling theoretical studies with analysis of observational data and the use of large-scale numerical models and differing characteristics of convection occurring over land from that occurring over the oceans. +61 3 9902 0110 Laura.Davies@monash.edu
Dr. Daniel Delbourgo Elliptic curves and modular forms; automorphic representations; Iwasawa theory of motives; deformations of Galois representations; Euler systems attached to varieties +61 3 990 54771 Daniel.Delbourgo@monash.edu
Dr. Dietmar Dommenget The understanding of the physical climate system and variability, in particular the large scale circulation and climate variability, ranging from seasons to centuries, with the aim of understanding causes of climate variability and change. A central part of my research is the concept of deconstructing the high-dimensional climate system into simplified modes or stochastic models of variability by statistical analysis of observations and a hierarchy of model simulations. +61 3 990 54495 Dietmar.Dommenget@monash.edu
Dr. Alina-Catalina Donea Solar flares and solar quakes; helioseismic holography; high energy astrophysics of black holes and relativistic jets; ultra high energy cosmic rays. +61 3 9905 4488 Alina.Donea@monash.edu
Dr. Duncan Galloway Fundamental physics from neutron stars, via satellite X-ray observations including pulsar timing; analysis of thermonuclear bursts; and high-resolution spectroscopy. +61 3 9902 0393 Duncan.Galloway@monash.edu
Dr Tim Garoni Mathematical physics, statistical mechanics (equilibrium and non-equilibrium), combinatorics (probability on graphs), Markov-chain Monte Carlo methods, stochastic cellular automata, modeling traffic flow on networks. +61 3 9905 4400 Tim.Garoni@monash.edu
Dr. Tom Hall Electronic watermarks for digital images, video and audio files, for copyright protection. Collusion resistant electronic finger prints for security and theft protection. +61 3 9905 4412 Tom.Hall@monash.edu
Dr. Kais Hamza General theory of stochastic processes; representation properties for martingales; markov jump processes; applications of stochastic processes to modelling of financial markets. +61 3 9905 4453 Kais.Hamza@monash.edu
Dr. Daniel Horsley Steiner triple systems and other combinatorial designs, colourings of combinatorial designs, cycle decompositions of graphs and other graph decomposition problems. +61 3 99054459 daniel.horsley@monash.edu
Prof. Christian Jakob Models of the atmosphere as they are used for Numerical Weather Prediction (NWP); seasonal prediction and climate simulation, in particular design and validation of cloud and convection parameterization schemes; and the use of probabilistic forecasts at all time-scales for decision making. +61 3 990 54461 Christian.Jakob@monash.edu
Dr. Jonathan Keith Bayesian statistics, Markov chain Monte Carlo, bioinformatics, computational biology, comparative genomics, functional genomics, phylogenetics, genetic epidemiology, genome-wide association studies, linkage analysis, stylometry. +61 3 990 20890 Jonathan.Keith@monash.edu
Prof. Fima Klebaner Stochastic processes; probability; stochastic models; populations models; financial mathematics; volatility; market models; martingales; random perturbations; applied probability. +61 3 9905 4409 Fima.Klebaner@monash.edu
Prof. John Lattanzio Stellar astrophysics; nuclear astrophysics; computational astrophysics. +61 3 9905 4428 John.Lattanzio@monash.edu
Dr. Maria Lugaro Study on heavy elements from carbon to lead are produced by nuclear reactions inside stars, in particular, stars which have evolved to the red giant phase and eject most of their material into their surroundings via strong winds, thus affecting the chemical make up of galaxies. Using theoretical stellar models, coupled with large networks of nuclear reactions, calculations are made on the abundances of nuclei produced in giant stars and compare them to spectroscopic observations of stellar abundances and laboratory analysis of exotic meteoritic materials. +61 3 9905 1640 Maria.Lugaro@monash.edu
Dr. Tony Lun Gravitational collapse; gravitational radiations; structure of space-times; perturbation analysis of and analytical techniques in solving the Einstein field equations. +61 3 9905 4447 Tony.Lun@monash.edu
Dr Gregory Markowsky Stochastic processes, probability, complex analysis, financial mathematics. +61 3 9905 4487 greg.markowsky@monash.edu
Dr. John Mansour Applied mathematics, with particular interest in computational techniques for fluid dynamics and research on highly viscous flows found within geological contexts. +61 3 9905 4478 John.Mansour@monash.edu 
Prof. Michael Manton Air quality observations and analysis; climate observations and analysis; simple climate models and their application to global problems; cloud physics. +61 3 9905 4495 Michael.Manton@monash.edu
Dr. Rosemary Mardling Stellar and planetary dynamics; the three-body problem; chaos theory; planet formation; extrasolar planets. +61 3 9905 4506 Rosemary.Mardling@monash.edu
Dr. Pengzi Miao Geometric analysis; partial differential equations; mathematical relativity. +61 3 990 54432 Pengzi.Miao@monash.edu
Dr. Boris Miller Theory of stochastic and deterministic discrete–continuous systems. +61 3 990 55870 Boris.Miller@monash.edu
Prof. Joe Monaghan Design of numerical algorithms for complex fluid dynamics in astrophysics; geophysics and industry. +61 3 9905 4463 Joe.Monaghan@monash.edu
Prof. Louis Moresi Plate tectonics; rheology of the lithosphere; thick-skin continental deformation; extensional basin models; computational solid & fluid mechanics. +61 3 9905 4468 Louis.Moresi@monash.edu
Dr. 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 amd elastic bodies; geometric flows; Ricci flow, renormalization group flow. +61 3 990 54433 Todd.Oliynyk@monash.edu
A/Prof. Michael Page Theoretical and computational fluid dynamics; rotating fluid flows; high-Reynolds-number flows; computational partial differential equations in biological applications. +61 3 990 54486 Michael.Page@monash.edu
Dr. Burkard Polster Finite and topological geometry; combinatorial designs; group theory; history of mathematics; classical interpolation theory; computer visualisation; mathematics education and outreach. +61 3 990 54493 Burkard.Polster@monash.edu
Dr. Andrew Prentice Investigation into the formation of the solar system, with special interest in the satellite systems of the gas giant planets. +61 3 9905 4499 Andrew.Prentice@monash.edu
Dr. Daniel Price Computational astrophysics, generally involving Magnetohydrodynamics, star formation and the Smoothed Particle Hydrodynamics (SPH) method and focused in particular on understanding the role of magnetic fields in the star formation process. +61 3 9905 1760 Daniel.Price@monash.edu
A/Prof. Alan Pryde Theory of functions of almost periodic type; asymptotic behaviour of solutions of evolution equations on semigroups; multivariable spectral theory. +61 3 9905 4417 Alan.Pryde@monash.edu
Prof. Michael Reeder A broad area of meteorology, including: fronts and extra-tropical cyclones, hurricanes, stratospheric gravity waves, solitary waves, boundary layers, orographic effects, tropical convection, and bushfires. +61 3 9905 4464 Michael.Reeder@monash.edu
A/Prof. Steve Siems Cloud seeding/weather modification; cloud microphysics; cloud - aerosol interaction; boundary layer meteorology; tropical convection. +61 3 9905 4406 Steve.Siems@monash.edu
Prof. Kate Smith-Miles (Head of School) Operations Research, particularly combinatorial optimisation solved using meta-heuristic approaches such as neural networks, genetic algorithms, etc.; Data mining, and statistical approaches to pattern recognition; Meta-learning; Automated algorithm selection by understanding the relationships between problem characteristics and algorithm performance in domains such as optimisation, forecasting, and classification. +61 3 9905 3170 Kate.Smith-Miles@monash.edu
Dr. Aidan Sudbury Interacting particle systems +61 3 990 54405 Aidan.Sudbury@monash.edu
Dr. 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 methods for simulating stochastic chemical reaction systems. Numerical methods for solving stiff stochastic differential equations. Parallel computing. +61 3 990 54474 Tianhai.Tian@monash.edu
Dr. Ian Wanless Latin squares and other combinatorial matrices; quasigroups; matrix permanents; graph theory (matchings; factorisations; random graphs); enumeration algorithms for combinatorial objects. +61 3 9905 4442 Ian.Wanless@monash.edu