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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.

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Publications

Avoiding discretization issues for nonlinear eigenvalue problems
MJ Colbrook, A Townsend
(2023)
Residual dynamic mode decomposition: robust and verified Koopmanism
MJ Colbrook, LJ Ayton, M Szőke
– CoRR
(2023)
955,
a21
Restarts subject to approximate sharpness: A parameter-free and optimal scheme for first-order methods
B Adcock, MJ Colbrook, M Neyra-Nesterenko
(2023)
WARPd: A Linearly Convergent First-Order Primal-Dual Algorithm for Inverse Problems with Approximate Sharpness Conditions*
MJ Colbrook
– CoRR
(2022)
abs/2110.12437,
1539
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
– CoRR
(2022)
abs/2101.08286,
ARTN e2107151119
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