Algebraic geometry in positive and mixed characteristics, in relation to derived categories.
Flops, derived categories, and liftability of threefolds (joint work with Alexander Perry, in preparation)
Derived deformation theory of gerbes and twisted derived categories (in preparation)
Higher F-singularities for cones (joint work with Jack J. Garzella, Vignesh Jagathese, Jason Kountouridis, Anh Duc Vo and Jakub Witaszek, in preparation)
Failure of derived Torelli for supersingular elliptic curves : appendix to "A note on Fourier-Mukai partners of abelian varieties over positive characteristic fields" by Zhiyuan Li and Haitao Zou (joint work with Saket Shah, 2025)
Weyl-invariant subspaces are (usually) not generic (joint work with Ruoxi Li, Henry Talbott, Rachel Webb, 2025)
Fourier-Mukai partners of abelian varieties and K3 surfaces in positive and mixed characteristics (2024)
Countability of relative Fourier-Mukai partners, Comptes Rendus. Mathématique, Volume 364 (2026), pp. 345-351