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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

Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems
MJ Colbrook, A Townsend
(2021)
WARPd: A linearly convergent first-order method for inverse problems with approximate sharpness conditions
MJ Colbrook
(2021)
Computing Spectral Measures of Self-Adjoint Operators
MJ Colbrook, A Horning, A Townsend
– CoRR
(2021)
63,
489
Computing spectral measures of self-adjoint operators
MJ Colbrook, A Horning, A Townsend
– SIAM Review
(2021)
63,
489
Computing Spectral Measures and Spectral Types
MJ Colbrook
– Communications in Mathematical Physics
(2021)
384,
433
Do we need non-linear corrections? - On the boundary Forchheimer equation in acoustic scattering
MJ Colbrook, LJ Ayton
– Journal of Sound and Vibration
(2020)
495,
115905
Reducing aerofoil-turbulence interaction noise through chordwise-varying porosity
LJ Ayton, MJ Colbrook, TF Geyer, P Chaitanya, E Sarradj
– Journal of Fluid Mechanics
(2020)
906,
a1
A Mathieu function boundary spectral method for scattering by multiple variable poro-elastic plates, with applications to metamaterials and acoustics
MJ Colbrook, AV Kisil
– Proc Math Phys Eng Sci
(2020)
476,
20200184
Fast and spectrally accurate numerical methods for perforated screens (with applications to Robin boundary conditions)
MJ Colbrook, MJ Priddin
– IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
(2020)
85,
790
Kernel density estimation with linked boundary conditions
MJ Colbrook, ZI Botev, K Kuritz, S MacNamara
– Studies in Applied Mathematics
(2020)
145,
357
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