Here is list of math things I have written. Comments, questions and corrections are greatly appreciated!

Publications and preprints

  1. (with Max Vistrup and Nathalie Wahl) Disordered arcs and Harer stability, to appear in Higher Structures.
  2. Homology stability of On for valuation rings, preprint 2022 (arXiv link). [submitted]
  3. Compact sheaves on a locally compact space, preprint 2023 (arXiv link). [submitted]
  4. The derived category of a locally compact space is rarely smooth, preprint 2023 (arXiv link). [submitted]

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