Here is list of math things I have written. Comments, questions and corrections are greatly appreciated!
My thesis.
Papers
- (with Max Vistrup and Nathalie Wahl), Disordered arcs and Harer Stability, in Higher Structures 8(1), 193-223. [arXiv 2022, journal 2024].
- Homology stability of On for valuation rings, in J. Algebra 690, 304-339 [arXiv 2022, journal 2026].
- Compact sheaves on a locally compact space, in Proc. Amer. Math. Soc. 153(1). [arXiv 2023, journal 2024].
- The derived category of a locally compact space is rarely smooth [arXiv 2023].
- Whitehead torsion and the kernel of assembly [arXiv 2026].
- Reconstruction of graphs and surfaces from their derived categories [arxiv 2026]. (Local version; see the erratum1, which applies to both the arxiv and local version.)
Notes
- Six-functor formalism for spaces. Notes written for the 2020 Topics in Algebraic Topology seminar course at the University of Copenhagen.
- My BSc project on Thomas Nikolaus’s slick proof of the group completion theorem, including an introduction to the theory of Bousfield localization
- A short note which uses connectivity results for complexes of injective words to show that Whitehead’s theorem in homotopy theory implies the axiom of choice
- My mini-thesis (on Reisner’s criterion) for a PhD course given by Karim Adiprasito on his proof of McMullen’s g-conjecture
- Sergey Guminov found an error in the proof of Theorem 3.15, the statement of which is incorrect. This affects the proof of reconstruction for surfaces. I am working to correct the statement and proof of Theorem 3.15 and hope to post a corrected version soon! ↩︎
