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. Links between Koszul duality, derived completion, and Morita reflexivity.
• 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.