Papers and preprints

1. Reflexive dg categories in algebra and topology (with Isambard Goodbody and Sebastian Opper)
   pdf | ArXiv
2. Nonsmooth Calabi-Yau structures for algebras and coalgebras (with Joe Chuang and Andrey Lazarev)
   Submitted.
   pdf | ArXiv
3. Global Koszul duality (with Andrey Lazarev)
   Submitted.
   pdf | ArXiv
   Extended abstract appears in Oberwolfach Rep. 21 (2024), no. 3, 2251--2307.
   pdf | DOI
4. The derived deformation theory of a point
   Math. Z. 300 (2022), no. 3, 3023--3082, available online
   pdf | ArXiv | DOI
5. Singularity categories via the derived quotient
   Adv. Math. 381 (2021), 107631
   pdf | ArXiv | DOI
   Errata
6. The derived contraction algebra
   pdf | ArXiv | ERA
   This is my PhD thesis, and subsumes the previous two preprints.
7. The derived contraction algebra
   pdf | ArXiv
8. Noncommutative deformation theory, the derived quotient, and DG singularity categories
   pdf | ArXiv

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 during my PhD. I wrote Chapter Four and parts of Chapter One.