Dr Matthew John Colbrook | Faculty of Mathematics

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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

An affine reverse Faber-Krahn inequality via information decay

MJ Colbrook, G Stepaniants

(2026)

(link to publication)

Spectral isometries of unital $C^*$-algebras

MJ Colbrook, G Stepaniants

(2026)

(link to publication)

Homogeneous polynomial approximation on symmetric convex bodies: A proof of Kroó's conjecture

MJ Colbrook

(2026)

(link to publication)

From boundary geometry to counterexamples in Smale's mean value problem

T Adamczewski, MJ Colbrook

(2026)

(link to publication)

On the planar Neumann--Poincaré inverse spectral problem

H Ammari, MJ Colbrook

(2026)

(link to publication)

Contamination-Free Resolution of Cantor Spectra and Magic-Angle Localization in Moiré Quasicrystals and Aperiodic Media.

J Chok, MJ Colbrook, M Embree, J Fillman

– Physical Review Letters

(2026)

137,

176403

(doi: 10.1103/7931-lsqk)

A counterexample to Kenig's conjecture for the Laplace double-layer operator

MJ Colbrook, S Sadeghi

(2026)

(doi: 10.48550/arxiv.2609.07947)

(link to publication)

Adversarial Wronskians: A proof of the Kung--Traub conjecture

MJ Colbrook

(2026)

(link to publication)

Sharp Computational Bounds for Spectral Types of Schrödinger Operators

MJ Colbrook, G Coote

(2026)

(doi: 10.48550/arxiv.2609.08945)

(link to publication)

A Complete Resolution of Forsythe's Conjecture for Restarted Conjugate Gradients

MJ Colbrook, G Stepaniants, A Townsend

(2026)

(doi: 10.48550/arxiv.2609.04659)

(link to publication)