About Me
Hello, I’m Matthew and I'm a PhD student in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge, residing in Magdalene College.
I am working under the supervision of Professor Anders Hansen and my main research topic is the limitations of computability of the solutions of PDEs. I look at the minimum assumptions required on the initial data of a time-evolution based PDE in order to compute the solution up to arbitrary accuracy, and the uncertainty principles one can find when these assumptions are not met. i have primarily looked at Hyperbolic and Dispersive PDEs for this.
Explore my researchThe route so far
I grew up in Preston, Lancashire, where I attended Our Lady's Catholic High School and Cardinal Newman College. My interest in Mathematics started at a very young age, simply from understanding it more than other subjects and appreciating the absolute truths found in it.
I completed my BSc in Mathematics at the University of Warwick from 2021-2024. I was mainly interested in very pure Mathematics here, particularly Functional Analysis.
I then completed Part III Mathematics at Cambridge with a Distinction grade. A course I took on infinite-dimensional spectral computations (taught by Matthew Colbrook) started my interest in computability problems in Analysis and started my shift over to Applied Mathematics.
I commenced my PhD in October 25th, remaining at Magdalene College. My PhD is fully funded by the G-Research NextGen Scholarship and brings together computation, analysis, and the theory of PDEs.
Beyond the blackboard
I am very interested in quizzes, modern history, politics and public transport infastructure, particularly the development of train projects. I am also quite an avid traveller, currently on 32 countries and counting, mainly interested in the history and cuisine of said countries and hiking.
If you have any questions about my research, or want to chat more generally, contact me at: