Research

My primary research focus is in inverse problems, focusing on data-driven regularisation methods. More generally, my interests span numerical analysis, mathematical modelling and machine learning (ML).

Publications

Degree projects

• Deep learning for Stokes-Brinkman equations (multi-scale porous media flow) (PDF).
  Work completed as part of an Interdisciplinary Research Project during my MRes at the University of Bath. Supervised by Dr. James Foster, Dr. Yang Chen.
• Asymptotic and hyperasymptotic expansions of solutions to ordinary differential equations (ODEs) (PDF).
  Written as a masters project for my MSci degree at UCL, supervised by Prof. Rod Halburd.

Industry Research Projects

During my PhD at University of Bath, I worked in interdisciplinary teams to formulate mathematical problems from high-level applied challenges in collaboration with industrial partners. These events are known as Integrative Think Tanks (ITTs):

1. ITT20, June 2024.
   Industrial Partners: Carbon Zero and Rolls-Royce Holdings.
   Project title: "Reverse engineering atmospheric dust content from jet engine samples"
2. ITT19, February 2024.
   Industrial Partners: CameraForensics and Wessex Water.
   Project title: "Physics-based models using partial differential equations for modelling river velocity and bacteria concentrations"