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School of Mathematics

Self-funded applicants

The following projects were available as studentships. We now welcome applications from candidates with their own funding in these subject areas.

Funded positions are advertised on our studentship pages.

All applicants should expect to be interviewed by prospective supervisors.

Projects currently available

A list of projects currently available in the School are listed below. Applications should be made via the Cardiff University application service. Please quote the project title and supervisor on your application.

Projects available in applied and computational mathematics.

SupervisorProject titles
Dr Katerina Kaouri
  • Calcium and mechanics in embryogenesis continuum and-cell based models
Dr Thomas Woolley
  • Combining game theory and the weak noise limit to understand spatio-temporal ecological models of animal movements
Dr Usama Kadri
  • Coordinated movement of random fish schooling
  • Early detection of tsunami by acoustic-gravity waves
  • Nonlinear acoustic-gravity wave theory
  • Radiation of acoustic-gravity waves by an impacting object
  • Remote control of gas-liquid flow in horizontal pipelines
Professor Tim Phillips
  • Dynamics of bubbles rising in viscoelastic fluids
  • Proper general decomposition for convection-diffusion equations
  • Spectral element mimetic least squares PGD methods
  • The influence of compressibility on the dynamics of encapsulated microbubbles

Projects available in geometry, algebra, mathematical physics and topology.

SupervisorProject titles
Dr Pieter Naaijkens
  • Topogical order and operator algebras
Dr Ulrich Pennig
  • Lie groups and twisted k-theory
  • Persistent sheaf cohomology
Dr Mathew Pugh
  • Operator algebras

Projects available in mathematical analysis.

SupervisorProject titles
Dr Mikhail Cherdantsev
  • Homogenisation of periodic problems in linear PDES and nonlinear elasticity
Professor Nicolas Dirr
  • Interface evolution in random environment
  • Mathematical methods for scale-bridging: from interacting particle systems to differential equations
Professor Alexander Balinsky
  • Machine learning and data mining
Dr Jonathan Ben-Artzi
  • Mathematical analysis, dynamical systems and spectral theory
Dr Federica Dragoni
  • Nonlinear PDES (deterministic or stochastic coefficients)
Dr Matthew Lettington
  • On multi-dimensional continued fractions
Professor Karl Michael Schmidt
  • Spectral theory of differential operators
Dr Julian Scheuer
  • Partial differential equations
  • Lorentz geometry and general relativity

Projects available in operational research.

SupervisorProject titles
Dr Rhyd Lewis
  • Combinatorial optimisation
Dr Daniel Gartner
  • Development of a platform for healthcare operations management underpinning strategic, tactical and operational decisions
  • Metaheuristic methods for probabilistic graphical models
Dr Vincent Knight
  • Game theory
Dr Iskander Aliev
  • Integer optimisation
Dr Maggie Chen
  • Systemic risk modelling and market microstructure utilizing Hawkes processes and dynamic network approaches

Projects available in statistics.

SupervisorProject titles
Professor Anatoly Zhigljavsky
  • Design of experiments in regression models with correlated observations
  • Modelling of sporting events using artificial intelligence and statistical methods for big data
Dr Jonathan Gillard
  • Low rank approximations of matrices with a focus on statistical applications
Dr Andreas Artemiou
  • Machine learning for dimension reduction in high‐dimensional datasets
Dr Andrey Pepelyshev
  • Micro and nano-scale statistical properties of rough engineering surfaces and their tribological properties
Dr Kirsten Strokorb
  • Robust analysis of multivariate extreme events
Professor Nikolai Leonenko
  • Statistical inference for entropy, divergences and Rényi information
  • Risky asset models with dependence and heavy-tailed distributions

Contact us

If you require further information, please email maths-pgr@cardiff.ac.uk.