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Department of Applied Mathematics and Theoretical Physics

  • 2020 - present: Junior Research Fellow, Trinity College, University of Cambridge.
  • 2016 - 2020: PhD student, DAMTP, CCA, University of Cambridge. 
  • 2015 - 2016: M.Math. (Part III), University of Cambridge.
  • 2012 - 2015: B.A. Maths, University of Cambridge.

This webpage is not kept up to date. Please visit my webpage here

Publications

The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems
MJ Colbrook
(2022)
Mathematical paradoxes unearth the boundaries of AI
M Colbrook, V Antun, A Hansen
– TheScienceBreaker
(2022)
8,
Bulk localized transport states in infinite and finite quasicrystals via magnetic aperiodicity
D Johnstone, MJ Colbrook, AEB Nielsen, P Öhberg, CW Duncan
– Physical Review B
(2022)
106,
045149
Residual Dynamic Mode Decomposition: Robust and verified Koopmanism
MJ Colbrook, LJ Ayton, M Szőke
(2022)
The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale’s 18th problem
MJ Colbrook, V Antun, AC Hansen
– Proceedings of the National Academy of Sciences of USA
(2022)
119,
e2107151119
Can stable and accurate neural networks be computed? - On the barriers of deep learning and Smale's 18th problem.
MJ Colbrook, V Antun, AC Hansen
– Proceedings of the National Academy of Sciences of the United States of America
(2022)
abs/2101.08286,
ARTN e2107151119
Computing Semigroups with Error Control
MJ Colbrook
– SIAM Journal on Numerical Analysis
(2022)
60,
396
A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations
MJ Colbrook, LJ Ayton
– Journal of Computational Physics
(2022)
454,
110995
SpecSolve: Spectral methods for spectral measures
MJ Colbrook, A Horning
(2022)
Stratified Sampling Based Compressed Sensing for Structured Signals
T Loss, MJ Colbrook, AC Hansen
– IEEE Trans. Signal Process.
(2022)
70,
3530
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