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

• Automorphisms of categories of schemes.

  Preprint, 2019. Submitted.

  arXiv

Dissertation

• Dominating varieties by liftable ones.

  Doctoral dissertation, Columbia University, 2018.