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Faculty of Mathematics

 

  • 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 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 the United States of America
(2022)
119,
ARTN e2107151119
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
– Proc Natl Acad Sci U S A
(2022)
119,
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
Computing spectral properties of topological insulators without artificial truncation or supercell approximation
MJ Colbrook, A Horning, K Thicke, AB Watson
(2021)
WARPd: A linearly convergent first-order method for inverse problems with approximate sharpness conditions
MJ Colbrook
(2021)
Computing Spectral Measures of Self-Adjoint Operators.
M Colbrook, A Horning, A Townsend
– SIAM Rev.
(2021)
63,
489
Computing Spectral Measures of Self-Adjoint Operators
M Colbrook, A Horning, A Townsend
– SIAM Review
(2021)
abs/2006.01766,
489
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