Email: hetm@princeton.edu

Office: Fine Hall 803, Princeton University

I am interested in Arithmetic and Algebraic Geometry, especially in p-adic Hodge Theory. Here is my CV.

I am a postdoctoral instructor at Princeton University starting from 2024. I was a member of Institute for Advanced Study, attending the special-year program on p-adic Arithmetic Geometry. I completed my Ph.D. under the supervision of Ahmed Abbes at Département de Mathématiques d’Orsay and Institut des Hautes Études Scientifiques from 2020 to 2023. Previously, I was an undergraduate at Tsinghua University.

Articles

11.   The p-adic Galois cohomology of valuation fields, preprint, 2025. 

10.   Perfectoid covers of abelian varieties via Sen theory and purity, preprint, 2025. (Joint with Rebecca Bellovin, Hanlin Cai, Sean Howe)

   9.   Perfectoidness via Sen theory and applications to Shimura varieties, Journal of the American Mathematical Society, 2025. (preprint version )

   8.   Purity for perfectoidness, preprint, 2024.

   7.   Almost coherence of higher direct images, Journal of the Mathematical Society of Japan, 2024. (preprint version)

   6.   Sen operators and Lie algebras arising from Galois representations over p-adic varieties, Mathematische Zeitschrift, 2025. (preprint version)

   5.   Twisted inverse image for Higgs bundles over curves, d'après Faltings, preprint, 2022. (Joint with Daxin Xu)

   4.   Faltings' main p-adic comparison theorems for non-smooth schemes, Canadian Journal of Mathematics, 2024. (Second part of No.2 below, preprint version)

   3.   Cohomological descent for Faltings ringed topos, Forum of Mathematics, Sigma, 2024. (First part of No.2 below, preprint version)

   2.   Cohomological descent for Faltings’ p-adic Hodge theory and applications, preprint, 2021.

   1.   Faltings extension and Hodge-Tate filtration for abelian varieties over p-adic local fields with imperfect residue fields, Canadian Mathematical Bulletin, 2020. (preprint version)

Lectures

• Sen operators and Lie algebras arising from Galois representations over p-adic varieties (with a global picture in the end), IAS Special Year Seminar, 2024.

• Sen operators and Lie algebras arising from Galois representations over p-adic varieties,  Franco-Asian Summer School on Arithmetic Geometry, 2022.

Miscellaneous Recordings

• Local p-adic Simpson correspondence via twisting and geometric Sen operators associated to pro-étale vector bundles, IAS Special Year Learning Seminar on Ben Heuer's work, on 2 November 2023.

• p-adic Local Systems and their Sen Operators, IAS Short Talks by Postdoctoral Members, on 3 October 2023.

Thesis

• Descent in p-adic Hodge theory and applications, defended on 24 May 2023.