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Applied and Computational Mathematics

Amongst the practical applications which benefit from our research are those dealing with the formation of polymers, and the behaviour of fabrics (from curtains to semiconductor films).

Our current research interests include:

  • Numerical analysis: timestepping methods
  • Partial differential equations, with applications to elasticity and fluid dynamics
  • Optimal transport: mean-field games and applications
  • Spectral theory: non-self-adjoint operators
  • Kinetic theory
  • Mathematical biology: Protein structure topology and dynamics, biologically active fluids and rheology
  • Magnetohydrodynamics: numerical simulation of magnetically dominated plasmas, topological analysis of vector fields, solar magnetic field modelling