Publications

  • Unbounded negativity on rational surfaces in positive characteristic,
    joint with Raymond Cheng.
    J. Reine Angew. Math. 783, p. 217–226 (2022).
    arXivDOI
  • The Hodge ring of varieties in positive characteristic.
    Algebra Number Theory 15.3, p. 729–745 (2021).
    arXivDOI
  • A variety that cannot be dominated by one that lifts.
    Duke Math. J. 170.7, p. 1251–1289 (2021).
    arXivDOI
  • The equivalence of several conjectures on independence of ℓ.
    Épijournal Géom. Algébrique 4 (2020), art. no. 16.
    arXivDOI
  • The construction problem for Hodge numbers modulo an integer in positive characteristic,
    joint with Matthias Paulsen.
    Forum Math. Sigma 8 (2020), paper no. e45.
    arXivDOI

Preprints

  • Grothendieck Galois theory and étale exodromy.
    Preprint, 2024.
    arXiv
  • Constructible sheaves on toric varieties.
    Preprint, 2024.
    arXiv
  • Automorphisms of categories of schemes.
    Preprint, 2019. Submitted.
    arXiv

In preparation

  • A quick proof of the pro-étale exodromy theorem,
    joint with Sebastian Wolf.
  • Hearts of t-structures on constructible sheaves.
  • Categorical independence of ℓ for constructible Weil sheaves.
  • Weil étale motives and categorical independence of ℓ.

Dissertation

A researchy picture