## About

I'm a postdoc at the University of Antwerp, working with Wendy Lowen.

Before I started at Antwerp, 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.

Mathematically, I'm interested in homotopical and noncommutative approaches to algebraic geometry. I'm particularly interested in

- Deformation theory: Koszul duality, prorepresentability, (topological) Hochschild cohomology, many-object versions of the above
- Derived noncommutative geometry: stable ∞-categories (in the guise of dg or spectral categories), noncommutative resolutions, representation-theoretic aspects, the homological minimal model program

and the intersection between the two.

At the moment, joint with Wendy and Dmitry Kaledin I'm thinking about the relationship between Mac Lane cohomology and the deformation theory of abelian categories.

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

### Contact

My office is MG227, Campus Middelheim.

My email address is **matt** dot **booth** at ** uantwerpen **dot** be**.

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