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publications
Keller sequences of exact categories
Joint with Yonatan Harpaz. We introduce a family of fibre-cofibre sequences, which we dub Keller sequences, in the category of exact \(\infty\)-categories generalising the notion of Verdier sequences of stable \(\infty\)-categories, and study their \(K\)-theoretic behaviour: we show that connective algebraic \(K\)-theory is Keller localising, and use this to give a categorical proof of the Gillet-Waldhausen theorem. We also give a self-contained proof of Waldhausen’s additivity theorem for exact \(\infty\)-categories. arXiv version.
Higher \(K\)-theory of forms III: from chain complexes to derived categories
Joint with Marco Schlichting. We show how to canonically derive an exact form category in the sense of Schlichting to a Poincaré category in the sense of the nine authors, and exhibit a natural equivalence between the Grothendieck-Witt spectra associated to each.
On the hermitian \(K\)-theory of the stable envelope
This is a local, semistable version of my thesis, last updated May 2026.
talks
teaching
Graduate TA, 2021-25
, University of Warwick, 2024
- TA for MA4J7 Cohomology and Poincaré Duality, 2024.
- TA for MA4H8 Ring Theory, 2024.
- TA for MA268 Algebra III, 2023.
- TA for MA3G6 Commutative Algebra I and MA249 Algebra II: Groups and Rings 2022-23.
Postdoctoral Teaching Fellowship, 2025-27
, University of Warwick, 2025