About

I am a Heilbronn Research Fellow at Imperial College London.

Previously, I was a Senior Research Associate at Lancaster with Andrey Lazarev and a postdoc at Antwerp with Wendy Lowen and Dmitry Kaledin. I completed my PhD at Edinburgh under the supervision of Jon Pridham, defending in 2019. My thesis was on a derived version of the Donovan-Wemyss contraction algebra. Before that, I obtained an MMath from Oxford in 2015.

I am in a broad sense a noncommutative geometer; I am interested in anything that sits at the interfaces of algebraic geometry, homotopy theory, representation theory, and algebraic topology. I am particularly interested in:

• Deformation theory: Koszul duality, prorepresentability theorems, Mac Lane cohomology for abelian categories, topological Hochschild cohomology for ring spectra and spectral categories, noncommutative and derived deformations. Applications to algebraic topology.
• Derived noncommutative geometry: triangulated, dg, and spectral categories, noncommutative resolutions, contraction algebras and the homological MMP, singularity categories, matrix factorisations, Calabi-Yau algebras, links to representation theory.

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Contact

My email address is matt dot booth at imperial dot ac dot uk.
My office is Huxley 612.
I have math.stackexchange and mathoverflow accounts, although I don't use them much.