• 2016 - date: PhD student, DAMTP, CCA, University of Cambridge. 
  • 2015 - 2016: M.Math. (Part III), University of Cambridge.
  • 2012 - 2015: B.A. Maths, University of Cambridge.


Matthew is a member of the Applied Functional and Harmonic Analysis group within the Cambridge Centre for Analysis at DAMTP. His current interests are:

  • Spectral theory, in particular the existence (or non-existence!) of algorithms to solve computational problems.
  • Deep learning and its mathematical foundations.
  • Linear algbra in infinite dimensions.
  • The unified transform method and its extensions.

Selected Publications

  • Colbrook, M. J., Ma, X., Hopkins, P. F., Squire, J., 2017. Scaling laws of passive-scalar diffusion in the interstellar medium. Published in MNRAS (Monthly Notices of the Royal Astronomical Society).

  • Colbrook, M. J., Flyer, N., Fornberg, B., On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains, Submitted.