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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

Improving dynamic mode decomposition of tandem cylinder flow with nonlinear dictionaries
ADG Hales, MJ Colbrook, C Jiang
– Physics of Fluids
(2025)
37,
067154
Multiplicative Dynamic Mode Decomposition
N Boullé, MJ Colbrook
– SIAM Journal on Applied Dynamical Systems
(2025)
24,
1945
Universal Methods for Nonlinear Spectral Problems
MJ Colbrook, C Drysdale
(2025)
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators
MJ Colbrook, C Drysdale, A Horning
– CoRR
(2025)
abs/2405.00782,
1150
Avoiding Discretization Issues for Nonlinear Eigenvalue Problems
MJ Colbrook, A Townsend
– SIAM Journal on Matrix Analysis and Applications
(2025)
46,
648
On the convergence of Hermitian Dynamic Mode Decomposition
N Boullé, MJ Colbrook
– Physica D: Nonlinear Phenomena
(2024)
472,
134405
Another look at residual dynamic mode decomposition in the regime of fewer snapshots than dictionary size
MJ Colbrook
– Physica D: Nonlinear Phenomena
(2024)
469,
134341
Optimal Algorithms for Quantifying Spectral Size with Applications to Quasicrystals
MJ Colbrook, M Embree, J Fillman
(2024)
Limits and Powers of Koopman Learning
MJ Colbrook, I Mezić, A Stepanenko
(2024)
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators
MJ Colbrook, C Drysdale, A Horning
(2024)
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