I am a Senior Research Associate in Mathematics at Lancaster University, working with Andrey Lazarev.

I used to be a postdoc at the University of Antwerp, working with Wendy Lowen and Dmitry Kaledin. Before that, I completed my PhD at the University of 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 the University of Oxford in 2015.

I am in a broad sense a noncommutative geometer; my research interests sit at the interface 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.
- 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.

Here is my CV, and here is my mathematical genealogy.

My office is Fylde College B44.

My email address is **m** dot **booth4** at **lancaster** dot **ac** dot **uk**.

I have math.stackexchange and mathoverflow accounts, although I don't use them much.