- The Hodge ring of varieties in positive characteristic. In preparation.
- Automorphisms of categories of schemes, 2019. Submitted.
- A variety that cannot be dominated by one that lifts, 2019. Submitted.
- The equivalence of several conjectures on independence of ℓ, 2018. Submitted.
- Dominating varieties by liftable ones. Doctoral dissertation, Columbia University, 2018.