Academic Staff
Santiago Badia
Professor
Numerical approximation of PDEs, Computational Science and Engineering, Parallel Scientific Computing, Numerical Linear Algebra.
Santiago Barrera Acevedo
Lecturer
Algebraic design theory, cocyclic Hadamard matrices, relative difference sets, correlation of finite arrays, and other combinatorial designs.
Mohsen Bagheri
Research Fellow
Operations Research, Optimisation in real-world problems, Supply chain network design, Scheduling models and algorithms.
Yann Bernard
Senior Lecturer
Functional analysis, harmonic analysis, geometric analysis, elliptic and parabolic PDEs, variational calculus.
Simon Clarke
Senior Lecturer
Evolution of nonlinear waves in geophysical fluid dynamics, numerical modelling meteorology, modeling density-stratified fluids.
Julie Clutterbuck
Senior Lecturer
Eigenvalues, parabolic equations, heat flow, geometric analysis, calculus of variations, geometric evolution equations, mean curvature flow.
Andrea Collevecchio
Associate Professor
Stochastic processes, large deviations and applications to statistical mechanics, random graph theory, self-interacting random processes, urn models.
Tiangang Cui
Senior Lecturer
Computational inverse problems; Uncertainty quantification; Model reduction; Machine learning; Computational geophysics; Subsurface flows.
Kaustav Das
Assistant Lecturer
Probability theory, stochastic analysis, mathematical finance, stochastic partial differential equations (SPDEs), fractional Brownian motion.
Kengo Deguchi
Senior Lecturer
Mathematical physics, High-speed fluid flows, asymptotic analysis, nonlinear PDEs (Naiver-Stokes equations), dynamical systems theory picture of turbulence.
Heiko Dietrich
Associate Professor
Associate Dean Graduate Education (Science)
Computational algebra, in particular, group theory, Lie theory, and some aspects of algebraic design theory.
Norman Do
Associate Professor
Geometry, topology, combinatorics and mathematical physics, enumerative geometry, moduli spaces of curves, Gromov-Witten theory, graphs on surfaces, matrix models and topological recursion.
Alina-Catalina Donea
Senior Lecturer
Solar Physics, Applied Mathematics for Helioseismology, Solar flares, Machine Learning Data Applications and solar quakes.
Jérôme Droniou
Professor
Polytopal numerical methods for diffusive PDEs, arbitrary-order methods, discrete complexes, finite volume methods, convergence analysis, compactness techniques.
Andreas Ernst
Professor
Operations Research, Integer Programming, Meta-heuristics, Applications of optimisation in logistics, mining & rostering.
Hasan Fallahgoul
Senior Lecturer
Theoretical and Empirical Asset pricing, financial econometrics, machine learning.
Mark Flegg
Senior Lecturer
Applied mathematics, Mathematical modelling, Applied stochastic processes, multiscale modelling and Mathematical biology.
Tim Garoni
Associate Professor
Mathematical physics, statistical mechanics, combinatorics (probability on graphs), Markov chain Monte Carlo methods.
Ivan Guo
Senior Lecturer
Financial mathematics, stochastic control, optimal transport, model calibration, robust finance, stochastic games, graph theory, machine learning.
Zihua Guo
Associate Professor
Harmonic/Fourier analysis, nonlinear PDEs of dispersive type and Fluid dynamics
Andy Hammerlindl
Senior Lecturer
Dynamical systems and ergodic theory. Interactions between geometry, topology, and dynamics.
Kais Hamza
Professor
Deputy Head of School
General theory of stochastic processes, representation properties for martingales, markov jump processes, applications of stochastic processes to modelling of financial markets.
Jian He
Assistant Lecturer
Topology and geometry, symplectic and contact geometry, holomorphic curves, low dimensional topology.
Daniel Horsley
Associate Professor
Combinatorial designs and edge decompositions of graphs, especially embedding, colouring and matching problems for block designs and cycle decompositions of graphs.
Dionne Ibarra
Research Fellow
Low-dimensional topology, geometry, knot theory, hyperbolic Dehn surgery and 3-manifolds.
Mikhail Isaev
Lecturer
Analytic methods in enumerative combinatorics, generating functions, asymptotic analysis, random graphs and hypergraphs.
Daniel Jackson
Assistant Lecturer
Mathematical physics, differential geometry, efficient numerical solution of ordinary and partial differential equations.
Jonathan Keith
Associate Professor
Bayesian modelling and computational methods, bioinformatics, invasive species modelling and epidemiology.
Fima Klebaner
Professor
Stochastic processes, probability; stochastic models, populations models, financial mathematics, volatility, market models, martingales, random perturbations, applied probability.
Ngan Le
Senior Lecturer
Theoretical and numerical analysis of stochastic partial differential equations, anomalous sub-diffusion equations.
Gregoire Loeper
Professor
Optimal transport, Financial mathematics, Non-linear PDE's, Monge-Ampere equation.
Alberto F. Martin
Research Fellow
Scientific Computing, Partial Differential Equations, Finite Elements, High Performance Scientific Computing.
Daniel Mathews
Associate Professor
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 McInnes
Teaching Fellow
Stochastic control, controllable Markov chains, dynamic programming, Markov decision problems.
Kihun Nam
Lecturer
Backward stochastic differential equations, optimal control of random systems such as dynamic random network, stochastic differential game, and their application to finance and biology.
Trang Nguyen
Research Fellow
Functional analysis, harmonic analysis, functional inequalities, singular integral operators, nonlinear PDEs.
Todd Oliynyk
Professor
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.
Burkard Polster
Professor
Finite and topological geometry, combinatorial designs, group theory, history of mathematics, classical interpolation theory, computer visualisation, mathematics education and outreach.
Janosch Rieger
Senior Lecturer
Control theory, numerical dynamics, optimisation, convex and set-valued analysis.
Soojin Roh
Assistant Lecturer
Spatial statistics, multivariate statistics, data assimilation.
Ricardo Ruiz Baier
Associate Professor
Numerical analysis of PDEs, mixed finite element methods, modelling of multiphase flow in porous media, large solid deformations, cardiac electromechanics.
Anja Slim
Senior Lecturer
Theoretical, numerical, and experimental fluid dynamics, especially relevant to geology and industrial processes.
Michelle Strumila
Assistant Lecturer
Algebraic topology, higher category theory, Topological Quantum Field Theories and generalised infinity operads.
Simon Teague
Teaching Fellow
Tianhai Tian
Associate Professor
Mathematical modelling of complex biological systems, including genetic regulatory networks, cell signalling transduction pathways, and cancer therapy. Inference of complex networks from big data.
Oscar Tian
Senior Lecturer
Retirement income product design and pricing, portfolio optimisation, derivatives pricing and risk management.
Warwick Tucker
Professor
Head of School
Dynamical systems, Chaos theory, Computer-assisted proofs, Artificial intelligence.
Theodore Vo
Lecturer
Geometric singular perturbation theory; Canard theory; Dynamical systems; Spiking and bursting in excitable cells; Mixed-mode oscillations; Neuronal signalling; Early afterdepolarisations in cardiomyocytes.
Ian Wanless
Professor
Latin squares and other combinatorial matrices; quasigroups, matrix permanents, graph theory (matchings, factorisations, random graphs), enumeration algorithms for combinatorial objects.
David Wood
Professor
Discrete mathematics and theoretical computer science, especially structural graph theory, extremal graph theory, geometric graph theory, graph colouring, poset dimension, graph drawing, and combinatorial geometry.
Nick Wormald
Professor
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.
Eric Zhou
Research Fellow
Applied probability, Statistical Mechanics, Markov chain Monte Carlo methods.