Welcome to my webpage. Since October 2022, I have been an assistant professor in the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge and a Fellow of Trinity College, Cambridge.

CV (last updated March 2025): click for pdf
Email: m[dot]colbrook[at]damtp.cam.ac.uk

I completed my PhD, titled "The Foundations of Infinite-Dimensional Spectral Computations", at the University of Cambridge in September 2020. Following that, I served as a Junior Research Fellow at Trinity College, Cambridge, for the academic years 2020-2022. During the academic year 2021-2022, I was also a FSMP Fellow at École Normale Supérieure in Paris. My work primarily involves the analysis and development of algorithms in the areas of approximation theory, neural networks, optimisation, inverse problems, solutions to PDEs, and spectral theory.