Email: hetm@ias.edu

Office: F-412, Institute for Advanced Study, 1 Einstein Drive, Princeton, New Jersey, 08540, USA

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

I am currently 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, defended at 24 May 2023. Previously, I was an undergraduate at Department of Mathematical Sciences, Tsinghua University.

Articles

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

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

5.   Almost coherence of higher direct images, preprint, 2022.

4.   Sen operators and Lie algebras arising from Galois representations over p-adic varieties, preprint, 2022.

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

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. (arXiv version)

Lectures

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

• 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.

Thesis

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

Miscellaneous Recordings

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

• 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.