Oscar Harr's homepage

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

My thesis.

Publications and preprints

  1. Compact sheaves on a locally compact space, in Proc. Amer. Math. Soc. 153(1). [arXiv 2023, journal 2024]
  2. (with Max Vistrup and Nathalie Wahl), Disordered arcs and Harer Stability, in Higher Structures 8(1), 193-223. [arXiv 2022, journal 2024]
  3. Homology stability of On for valuation rings. [arXiv 2022, submitted]
  4. The derived category of a locally compact space is rarely smooth. [arXiv 2023]
  5. Improved homological stability for handlebody mapping class groups. [in preparation]
  6. Reconstruction of a graph from the derived category and groups of autoequivalences. [in preparation]

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