Visit my Personal Website which includes topics for researchers and students.

If you are interested in doing a Ph.D. please email me directly. UK/EU students are welcome to contact me if they wish to develop their own Ph.D. research proposal for the EPSRC DTP and NERC DTP studentship opportunities.

I am offering to supervise self-funded PhD students in the areas of

• Geometric mechanics and symmetry.
• Geometric fluid mechanics.
• Nonlinear waves and multisymplectic numerical methods for Hamiltonian PDEs.
• Geometric and structure-preserving algorithm design and numerical analysis.
• Finite volume Riemann methods for hyperbolic partial differential equations; Symplectic finite volume methods.
• Theoretical fluid mechanics; Lagrangian averaged Navier–Stokes models.
• Hamiltonian particle-mesh theory and EPDiff.
• Variational methods and long-time computational modelling of ocean wave energy extraction.

Research Network: Applied Geometric Mechanics (2022–2023) is supported by the London Mathematical Society.

Research Network: New Directions in Mathematical Modelling of Ocean Wave Energy (2023–2025) is currently supported by the Isaac Newton Institute for Mathematical Sciences and the EPSRC.

Teaching

Current and recent courses:

MTH3013: Applied Differential Geometry

MTH3032: Applications of Geometry and Topology

MTH3035: Mathematics Group Project (Project Advisor)

ECM3908: Partial Differential Equations

ECM2908: Vector Calculus and Applications

MTHM607: Computational Modelling and Simulation

MTH0002: Applied Mathematics