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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

Bridging the Gap Between Koopmanism and Response Theory: Using Natural Variability to Predict Forced Response
N Zagli, MJ Colbrook, V Lucarini, I Mezić, J Moroney
– SIAM Journal on Applied Dynamical Systems
(2026)
25,
196
An Introductory Guide to Koopman Learning
MJ Colbrook, Z Drmač, A Horning
(2025)
Computation and Verification of Spectra for Non-Hermitian Systems.
C Drysdale, M Colbrook, MTM Woodley
– Physical Review Letters
(2025)
135,
170202
Improving dynamic mode decomposition of tandem cylinder flow with nonlinear dictionaries
ADG Hales, MJ Colbrook, C Jiang
– Physics of Fluids
(2025)
37,
067154
Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces
N Boullé, MJ Colbrook, G Conradie
(2025)
Multiplicative Dynamic Mode Decomposition.
N Boullé, MJ Colbrook
– SIAM J. Appl. Dyn. Syst.
(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
– SIAM E-Journal on Applied Dynamical Systems
(2025)
24,
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
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