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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

Computing spectral properties of topological insulators without artificial truncation or supercell approximation
MJ Colbrook, A Horning, K Thicke, AB Watson
(2021)
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 Rev.
(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
– Proceedings of the Royal Society A
(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
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