Maths

Research

My research focuses on numerical analysis for conservative SPDEs that arise from interacting particle systems (currently studying the Dean-Kawasaki SPDE). More generally, I also have interests in stochastic analysis, scientific computing, SciML and PDE theory.

Publications

Coming soon...

Miscellaneous

• Approximation and variance reduction methods for stochastic partial differential equations.
  Written as a masters dissertation for my MRes in Statistical Applied Maths at the University of Bath. Supervised by Dr. Federico Cornalba.
• A finite element method for the Stokes-Brinkman equations (CODE).
  Work completed as part of an Interdisciplinary Research Project during my MRes at the University of Bath. Supervised by Dr. Eike Müeller, Dr. Alexander Belozerov, Dr. Yang Chen.
• Toy models for heat transfer in gases.
  Written as a masters project for my MMathPhys degree at the University of Warwick. Proved a hypocoercivity result for kinetic equations with heat transfer. Joint work with Daniel Abraham, supervised by Dr. Josephine Evans.