Dr. Matthew Colbrook

Biography

Matthew Colbrook is an assistant professor in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge and a Fellow of Trinity College, Cambridge. His research focuses on designing, analyzing, and implementing algorithms at the intersection of data science and applied mathematics. His key areas of interest include approximation theory, spectral theory, neural networks and optimization, as well as inverse problems related to partial differential equations. He is driven by the challenge of advancing computation theory in infinite-dimensional settings, developing tools to deepen understanding and enable practical applications of high-dimensional data-driven problems. Matthew completed his PhD at the University of Cambridge in September 2020, with a thesis titled 'The Foundations of Infinite-Dimensional Spectral Computations'. He served as a Junior Research Fellow at Trinity College, Cambridge during the academic years 2020-2022 and was a FSMP Fellow at École Normale Supérieure in Paris during the academic year 2021-2022.

Research Interests