Papers and preprints

Global Koszul duality (with A. Lazarev)
Submitted.
pdf  ArXiv

The derived deformation theory of a point
Math. Z. 300 (2022), no. 3, 30233082, available online
pdf  ArXiv  DOI

Singularity categories via the derived quotient
Adv. Math. 381 (2021), 107631
pdf  ArXiv  DOI
Errata

The derived contraction algebra
pdf  ArXiv  ERA
This is my PhD thesis, and subsumes the previous two preprints.

The derived contraction algebra
pdf  ArXiv

Noncommutative deformation theory, the derived quotient, and DG singularity categories
pdf  ArXiv
In Preparation
 CalabiYau structures and Koszul duality (with J. Chuang and A. Lazarev)
 Mac Lane cohomology and squarezero extensions of abelian categories (with D. Kaledin and W. Lowen)
 Topological Hochschild cohomology for spectral categories (with D. Kaledin and W. Lowen)
 Reflexivity and Koszul duality (with I. Goodbody and S. Opper)
 How to invert wellpointed endofunctors
Other writing
 An informal set of notes from the infinity categories seminar I ran in Lancaster  presented as is with no guarantee of correctness.
 A similar set of notes from the Lancaster singularity categories seminar.
 A "poster" I presented at Będlewo.
 A poster I took around a few conferences in summer 2017.
 A quick cheatsheet for dg objects.
 I wrote Chapter 5 of the lecture notes from the TFT Seminar. It's a nicer version of the notes from my talk.
 Differential graded algebras and applications, a report on DGAs written in collaboration with three other PhD students. I wrote Chapter Four and parts of Chapter One.