Department of Mathematical Sciences

EPSRC logoPeople

SAMBa has a core management team who work with potential supervisors from the Department and across the University to deliver a successful Centre. We also have two oversight committees: the Departmental Executive and the External Advisory and Monitoring Board.

A key element in the delivery of SAMBa is the deep relationships we build with our partners to formulate and explore high level mathematical problems. This not only provides a great student experience but leads to highly impactful research. If you are interested in becoming in involved in SAMBa, please get in touch.

Core staff

Professor Andreas Kyprianou, co-Director

andreas-kyprianouAndreas Kyprianou is a professor of Probability, with particular interests in Lévy and self-similar Markov processes as well as stochastic particle processes which branch and coalesce. He studied at the Universities of Oxford and Sheffield, and held academic positions at the London School of Economics, Edinburgh University, Utrecht University and at Heriot Watt University before coming to Bath in 2006. He is the co-founder and current director of Prob-L@B: the Probability Laboratory at Bath.

Tel: +44 (0)1225 386200

Professor Paul Milewski, co-Director

paul-milewskiPaul Milewski is a professor of Applied Mathematics and is interested in geophysical fluid mechanics, nonlinear waves, free-surface problems and mathematical biology. He was previously at the University of Wisconsin, US before coming to Bath in 2011. He obtained a degree in Aerospace Engineering at Boston University and a PhD in Applied Mathematics from the Massachusetts Institute of Technology.

Tel: +44 (0)1225 386224

Dr Susie Douglas, Centre Manager

susie-douglasSusie Douglas obtained a PhD in organometallic chemistry from the University of Bath and following that worked at EPSRC within the Infrastructure team. She returned to University of Bath, working in the Research Office, in 2012 and moved to the Department of Mathematical Sciences in 2014.

Tel: +44 (0)1225 385661

Jessica Ohren, Centre Administrator

jessica-ohrenJessica Ohren obtained a Bachelor's Degree in Business Management with Marketing from the University of Winchester and subsequently worked in a number of Financial and Administrative roles at the Isle of Wight Council. She joined the Faculty of Engineering and Design at the University of Bath in 2014, working in the finance department and moved to the Department of Mathematical Sciences in 2016. She also provides administrative support for the Centre for Doctoral Training in Condensed Matter Physics.

Tel: +44 (0)1225 385631

Academic Support Team

Dr Alex Cox

alex-coxAlex Cox is interested in questions arising in Probability and their applications in Mathematical Finance, particularly questions which relate to robustness and model-independence when considering the pricing and hedging of financial derivative contracts. He undertook his PhD research at the University of Bath and is now a member of Prob-L@B in the Department of Mathematical Sciences.


Dr Melina Freitag

melina-freitagMelina Freitag is a member of the Numerical Analysis Group. Her research interests are in numerical linear algebra, data assimilation and inverse problems. She is particularly interested in iterative methods for eigenvalue problems and linear systems, Krylov subspace methods, matrix theory and applications. She completed her PhD research at the University of Bath, following previous study at Schwarzenberg and TU Chemnitz in Germany.

Dr Tim Rogers

tim-rogersTim Rogers is a Royal Society University Research Fellow and is interested in understanding and predicting the behaviour of complicated random events and processes, in particular when there is network or spatial structure involved. He received his PhD from Kings College London, having studied at the University of Bath as an undergraduate.



Potential lead supervisors

Ben Adams

  • Mathematical biology
  • Infectious disease epidemiology and evolution
  • Ecological modelling

Karim Anaya-Izquierdo

  • Statistical Geometry
  • Spatial Analysis
  • Survival Analysis and Statistical Methods in Epidemiology

Ben Ashby

  • Mathematical Biology
  • Ecology and evolution of infectious diseases
  • Evolution of sex and mate choice

Nicole Augustin

  • Spatio-temporal modelling
  • Functional data analysis for modelling high frequency time series
  • Applications in epidemiology, ecology and environmental sciences

Jonathan Bartlett

  • Methods for handling missing data in statistical analyses
  • Causal inference methods for randomised trials
  • Biostatistical and epidemiological applications

Dorothy Buck

  • Mathematical biology
  • Topology
  • Modelling of biopolymers

Chris Budd

  • Industrial applied maths especially problems involving electricity, food or telecommunications.
  • Numerical weather forecasting and data assimilation.
  • Non smooth dynamical systems, friction, impact and chaos.

Kirill Cherednichenko

  • Scale-interaction phenomena via asymptotic analysis of PDE
  • Operator theory and functional models
  • Applied calculus of variations

Alex Cox

  • Probability and applications in Mathematical Finance
  • Stochastic optimal control
  • Martingale optimal transport

Jonathan Dawes

  • Dynamical systems (pattern formation, reaction-diffusion problems, bifurcation theory)
  • Networks and dynamics
  • Fluid mechanics (nonlinear phenomena, asymptotic methods)

Manuel del Pino

  • Analysis of nonlinear partial differential equations
  • Blow-up patterns in nonlinear evolution problems
  • Singular limits in variational problems with loss of compactness

Evangelos Evangelou

  • Generalised Linear Models: Modelling, Approximate Methods, Value of Information
  • Spatial and Spatial-Temporal Geostatistics: Modelling, Sampling Design
  • Time Series: Modelling, Sequential Analysis

Sergey Dolgov

  • Numerical linear algebra and scientific computing
  • Approximation and reduction of multivariate functions and tensors
  • Probabilistic and quantum modelling

Matthias Ehrhardt

  • Inverse problems (e.g. models, algorithms)
  • Large-scale, randomized optimization (e.g. convergence guarantees, rates)
  • Applications (e.g. imaging, machine learning, deep learning

Jonathan Evans

  • Asymptotic analysis and perturbation methods
  • Industrial and applied mathematical modelling
  • Complex fluids with memory, high order nonlinear evolutionary PDEs and free boundary problems

Julian Faraway

  • Functional data analysis
  • Shape Statistics
  • Applications of Statistics

Veronique Fischer

  • Harmonic Analysis (commutative and non-commutative)
  • Lie groups, homogeneous domains, representation theory
  • Pseudo-differential operators and Partial Differential Equations

Melina Freitag

  • Numerical linear algebra
  • Krylov subspace methods and preconditioners for eigenvalue problems and linear systems
  • Inverse and ill-posed problems, data assimilation, model order reduction and applications

Silvia Gazzola

  • Inverse problems and regularization
  • Image restoration and reconstruction
  • Numerical linear algebra, Krylov subspace methods

Ivan Graham

  • Analysis and solvers for high frequency wave problems
  • PDEs with random input data and UQ
  • PDE eigenvalue problems and reactor stability

Chris Guiver

  • Mathematical control theory
  • Applications in mathematical biology
  • Positive systems

Kari Heine

  • Sequential Monte Carlo and Markov Chain Monte Carlo methods
  • Martingales and Markov processes
  • Computational methods in population genetics

James Hook

  • Tropical mathematics
  • Numerical linear algebra (applications of tropical mathematics, algorithms which exploit randomization)
  • Data science (applications of tropical mathematics, machine learning)​

Antal Járai

  • Models arising from statistical physics, with an emphasis on understanding critical phenomena
  • Abelian sandpile model of self-organised criticality
  • Behaviour of random walks on fractal graphs

Chris Jennison

  • Complex stochastic models
  • Markov Chain Monte Carlo samplers
  • Adaptive and group sequential clinical trials

Daniel Kious

  • Reinforced random walks, self-interacting processes
  • Random walks in random environment, or in dynamical environment
  • Reinforcement learning

Andreas Kyprianou

  • Self-similar processes, Lévy processes and their applications
  • Spatial branching, fragmentation and coalescing processes
  • Stochastic (numerical) modelling

Hartmut Logemann

  • Mathematical control theory
  • Differential equations
  • Stability and stabilization

Cécile Mailler

  • Branching processes
  • Pólya's urns and stochastic approximation
  • Random networks

Apala Majumdar

  • Mathematical theories and applications of liquid crystals
  • Continuum Mechanics and Mathematics of materials science
  • Industrial applied mathematics

Karsten Matthies

  • Averaging and Homogenisation for PDEs
  • Infinite-dimensional dynamics: PDEs and lattice ODEs
  • Many particle dynamics

Paul Milewski

  • Geophysical fluid mechanics and conservation laws
  • Nonlinear waves and free-surface problems
  • Mathematical biology

Eike Müller

  • Scientific computing, HPC and novel architectures
  • Fast solvers for partial differential equations in atmospheric fluid dynamics
  • Algorithms and software for stochastic differential equations and molecular dynamics

Monica Musso

  • Partial differential equations and nonlinear analysis
  • Concentration phenomena in nonlinear elliptic equations
  • Blow-up in nonlinear parabolic equations

Matt Nunes

  • Wavelets and lifting schemes
  • Time series, image and network analysis
  • Bayesian Computation

Mark Opmeer

  • Model reduction
  • Control theory
  • Analysis

Marcel Ortgiese

  • Stochastic analysis with applications in biology
  • Random networks
  • Stochastic processes in random environment

Tiago Peixoto

  • Network science
  • Bayesian inference on networks
  • Statistical Physics

Sarah Penington

  • Probabilistic models motivated by population genetics
  • Spatial branching processes with interactions
  • Applications of probability theory to partial differential equations

Mathew Penrose

  • Pure and applied probability
  • Stochastic Geometry
  • Random graphs, percolation and interacting particle systems

Clarice Poon

  • Inverse problems and compressed sensing
  • Machine learning and optimisation
  • Infinite dimensional regularisation

Ilaria Prosdocimi

  • Extreme Value Theory and applications
  • Generalised Additive Models and non-parametric regression
  • Application of statistical methods to environmental sciences, e.g. climate or water resources applications

Matt Roberts

  • Probability
  • Branching processes: branching Brownian motion, branching random walks
  • Random graphs, random environments

Tim Rogers

  • Graphs and networks
  • Applied stochastic processes
  • Emergent phenomena

Sandipan Roy

  • Statistical analysis of networks and graphical models
  • High dimensional inference
  • Optimization Methods

Hartmut Schwetlick

  • Analysis, Partial differential equations, and Applied mathematics
  • Modelling of biological systems and Numerics
  • Geometric analysis

Tony Shardlow

  • Stochastic PDEs and their applications
  • Langevin equations
  • Numerical methods for strong and weak approximation

Simon Shaw

  • Bayesian networks and uses of conditional independence
  • Bayes linear methods
  • Analysis of collections of (second-order) exchangeable sequences

Jey Sivaloganathan

  • Variational problems
  • Applied analysis, Partial differential equations
  • Nonlinear elasticity, fluid mechanics

Theresa Smith

  • Methods for spatial and spatio-temporal data
  • Computation for Bayesian methods
  • Applications in the public health and the social sciences

Alastair Spence

  • Large Sparse Matrix Computations and Eigenvalue Problems
  • Hopf Bifurcations in Mixed FEM Methods for N-S problems
  • Network simulations in Bioinformatics

Euan Spence

  • Propagation of acoustic and electromagnetic waves
  • Transform methods for linear and nonlinear integrable PDEs
  • Problems at the interface between analysis and numerical analysis of PDEs

Alexandre Stauffer

  • Intersection of probability, combinatorics and theoretical computer science
  • Percolation, point processes, interacting particle systems, random walks and Markov chain mixing time
  • Random graphs, networks, and randomized structures and algorithms

Mike Tipping

  • Machine learning
  • Bayesian statistics
  • Artificial intelligence

Philippe Trinh

  • Asymptotic analysis and perturbation theory
  • Industrial and applied mathematical modelling
  • Fluid dynamics and free-surface flows

Hendrik Weber

  • Stochastic partial differential equations
  • Rough path theory and regularity structures
  • Statistical mechanics

Jane White

  • Using mathematical models to explore problems in healthcare
  • Non-invasive drug monitoring and infectious disease control
  • Behaviours of network systems

Kit Yates

  • Mathematical modelling of biological systems in which stochasticity plays an important role.
  • Efficient stochastic modelling and simulation methodologies.
  • A range of biological application areas: (e.g. cell migration, embyogenesis, Collective animal behaviour, parasite dynamics, pattern formation).

Johannes Zimmer

  • Multiscale analysis
  • Dynamical systems and differential equations
  • Scale-bridging

Potential co-supervisors across campus

Department of Architecture and Civil Engineering

Department of Biology and Biochemistry

Department of Chemical Engineering

Department of Chemistry

Department of Computer Science

Department of Economics

Department of Electronic and Electrical Engineering

Department for Health

School of Management

Department of Mechanical Engineering

Department of Pharmacy and Pharmacology

Department of Physics

Department of Psychology

Department of Social and Policy Sciences

Executive Committee supporting the delivery of SAMBa

Professor Chris Budd

Chris Budd is a Professor of Mathematics with broad research interests in interdisciplinary industrial and applied mathematics and particular interest in complex nonlinear problems arising in real applications. He is co-director of the CliMathNet network [] and has a strong track record in public engagement of mathematics, including holding the post of Gresham Professor of Geometry for 2016/17.

Professor Ivan Graham

Ivan Graham is a Professor of Numerical Analysis having previously held positions at the University of New South Wales and the University of Melbourne. His research concerns various aspects of the numerical analysis of partial differential equations and applications include fluid flow in uncertain media, seismic imaging of the earth's subsurface and the analysis of the safety of reactors. He has strong links with industry including Schlumberger Gould Research and Amec Foster Wheeler.

Professor Chris Jennison

Chris Jennison is a professor of Statistics and pursues research into the design and analysis of clinical trials including sequential methods and adaptive clinical trial designs. The research is informed by working with medical research institutes and pharmaceutical companies, and participation in clinical trial data monitoring committees. He also has interests in the statistical image analysis, spatial statistics and the computational methods used to fit complex models to large data sets. He started his research career in the US and still has strong research links with Cornell University.

Dr Apala Majumdar

Apala Majumdar is a Reader in Applied Mathematics who gained her doctorate from the University of Bristol. She works on mathematical modelling in materials science and industrial applied mathematics which intersects different areas of mathematics such as continuum mechanics, calculus of variations, analysis and scientific computation. She is a member of the Centre for Nonlinear Mechanics at the University of Bath, and has strong international research links in Asia, Latin America, and Europe.

Dr Mark Opmeer

Mark Opmeer is a Mathematical Analyst whose research is related to linear quadratic optimal control and/or to model reduction. He came to Bath via a PhD at the University of Groningen and an Assistant Professor role at the University of California Davis.

Dr Lucia Scardia

Lucia Scardia’s research interests are in the calculus of variations, partial differential equations, and geometric measure theory, with applications in materials science. A unifying theme of her work is the rigorous derivation of upscaled models for complex materials starting from micro-scale models. Prior to joining the University of Bath, she worked and studied at the University of Glasgow, Technische Universiteit Eindhoven and Scuola Internazionale Superiore di Studi Avanzati, Trieste.

Dr Jane White

Jane White is an applied mathematician interested in using mathematical models to explore problems in healthcare, currently focussed on non-invasive drug monitoring and infectious disease control, exploring how drug molecules, or their metabolites, move into the skin and provide a reservoir in that tissue which can be used to explore compliance with drug regimes. She works closely with collaborators in the department of Pharmacy and Pharmacology. She is the founding Director of MASH, the institutional mathematics resources centre.

External Advisory and Monitoring Board

Professor Mike Christie, Heriot-Watt University 

Mike Christie is a professor of reservoir engineering and undertakes research into history matching and uncertainty quantification for reservoir simulation. He has wider interests in uncertainty quantification for various natural or complex engineering systems.

Dr Caroline Colijn, Imperial College, London (Chair) 

Caroline Colijn is a reader in biomathematics and an EPSRC fellow, carrying out research at the interface of mathematics and the epidemiology and evolution of pathogens. Her particular focus is on co-infecting pathogens and the interplay between co-infection, competition and pathogen evolution and is interested in understanding how pathogen ecology may be revealed through the careful study of phylogenetic trees.

Professor Mike Christie, Heriot-Watt University 

Mike Christie is a professor of reservoir engineering and undertakes research into history matching and uncertainty quantification for reservoir simulation. He has wider interests in uncertainty quantification for various natural or complex engineering systems.

Dr Adrienne James, MathWorks

Adrienne James joined MathWorks in 2007 as a senior trainer and is now primarily focused on supporting customers in the finance industry. Her doctoral research was in the area of mathematical and computational modelling of intracellular signalling.

Professor John Kent, University of Leeds

John Kent is a Professor in the Department of Statistics. His areas of expertise include directional data analysis; multivariate analysis; statistical inference; robustness and regularization; spatial and spatial-temporal processes; shape and image analysis

Professor Rachel Kuske, Georgia Tech University 

Rachel Kuske studies applied stochastic dynamics, understanding the dynamical processes of phenomena that evolve over time in some complex way, but with some randomness. This area has a range of applications, including optics, neuron signaling, disease cycling, and climate dynamics.

Professor Esteban Tabak, New York University 

Esteban Tabak works in various areas of applied mathematics, including Fluid Dynamics, Data Science and Optimisation. This covers physical and numerical modelling of large-scale flows, creating new tools in density estimation and optimal transport, and developing a new general methodology to solve constrained optimization problems.

Dr Verena Trenkel, IFREMER 

Verena Trenkel is a senior scientist at the French research institute for the exploitation of the sea where she develops wildlife assessment and management models as well as monitoring methods. She works on statistical abundance estimation methods, as well as the use of statistical modelling and indicators for ecosystem assessments, population, community, and socio-ecosystem studies.

Mr David Worthington, DNV GL

David Worthington is head of the Department of Risk & Reliability Mathematical Modelling at DNV GL. He has over 30 years’ experience of modelling engineering customer-oriented problems including fires, heat transfer, explosions, toxic effects and quantitative risk.