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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.

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Publications

Kernel density estimation with linked boundary conditions
MJ Colbrook, ZI Botev, K Kuritz, S MacNamara
– Studies in Applied Mathematics
(2020)
145,
357
The Foundations of Infinite-Dimensional Spectral Computations
M Colbrook
(2020)
A spectral collocation method for acoustic scattering by multiple elastic plates
MJ Colbrook, LJ Ayton
– Journal of Sound and Vibration
(2019)
461,
114904
The foundations of spectral computations via the Solvability Complexity Index hierarchy
MJ Colbrook, AC Hansen
(2019)
On the computation of geometric features of spectra of linear operators on Hilbert spaces
MJ Colbrook
(2019)
A hybrid analytical-numerical method for solving advection-dispersion problems on a half-line
FPJ de Barros, MJ Colbrook, AS Fokas
– International Journal of Heat and Mass Transfer
(2019)
139,
482
How to Compute Spectra with Error Control.
MJ Colbrook, B Roman, AC Hansen
– Physical Review Letters
(2019)
122,
250201
Pseudoergodic operators and periodic boundary conditions
MJ Colbrook
– Math. Comput.
(2019)
89,
737
The Unified Transform: A Spectral Collocation Method for Acoustic Scattering
LJ Ayton, MJ Colbrook, AS Fokas
– 25th AIAA Ceas Aeroacoustics Conference 2019
(2019)
The Unified Transform: A Spectral Collocation Method for Acoustic Scattering
LJ Ayton, M Colbrook, A Fokas
– 25th AIAA/CEAS Aeroacoustics Conference
(2019)
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