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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

No Spectral Invisibility for Dissipative Barrier Truncations in Any Dimension
MJ Colbrook, M Marletta
(2026)
Nyström Error Beyond $M$-Matrices: A Minimal Diagonally Dominant Obstruction
MJ Colbrook
(2026)
Adversarial dynamical systems characterize when data-driven learning succeeds or fails
MJ Colbrook, I Mezić, A Stepanenko
– Nature communications
(2026)
17,
5397
Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation
G Coote, MJ Colbrook
(2026)
Adversarial dynamical systems characterize when data-driven learning succeeds or fails
MJ Colbrook, I Mezić, A Stepanenko
(2026)
Computing Spectral Size: Rigorous Algorithms and the Limits of Computation
MJ Colbrook, M Embree, J Fillman
(2026)
Ten Digits on a Train: AI-Assisted Verification of Two Eigenvalue Problems
MJ Colbrook
(2026)
Universal methods for nonlinear spectral problems
MJ Colbrook, C Drysdale
– CoRR
(2026)
16,
601
Trustworthy Koopman Operator Learning: Invariance Diagnostics and Error Bounds
G Conradie, N Boullé, J-C Loiseau, SL Brunton, MJ Colbrook
(2026)
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 E-Journal on Applied Dynamical Systems
(2026)
25,
196
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