Maths

Research

I'm interested in the numerical and stochastic analysis of SPDEs (particularly those of Dean-Kawasaki-type), and interacting particle systems.

Publications and preprints

• Reversible Deep Equilibrium Models
  Sam McCallum, Kamran Arora and James Foster
  Preprint

Miscellaneous

• Approximation and variance reduction methods for stochastic partial differential equations.
  Masters dissertation. Supervised by Dr. Federico Cornalba.
• A finite element method for the Stokes-Brinkman equations.
  Interdisciplinary research project. Supervised by Dr. Eike Müeller, Dr. Alexander Belozerov, Dr. Yang Chen.
• Hypocoercivity for the linear relaxation Boltzmann operator.
  Masters dissertation. Joint work with Daniel Abraham, supervised by Dr. Josephine Evans.