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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 Multiverse of Dynamic Mode Decomposition Algorithms
MJ Colbrook
(2023)
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems
MJ Colbrook, Q Li, RV Raut, A Townsend
(2023)
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems.
MJ Colbrook
– SIAM Journal on Numerical Analysis
(2023)
abs/2209.02244,
1585
Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems
MJ Colbrook, A Townsend
(2023)
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
WARPd: A Linearly Convergent First-Order Primal-Dual Algorithm for Inverse Problems with Approximate Sharpness Conditions*
MJ Colbrook
– CoRR
(2022)
15,
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
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