Mentor: Prof. Yongquan Hu(胡永泉)

Advisor: Prof. Ruochuan Liu(刘若川).

Research

I am interested in $p$-adic Hodge theory and $p$-adic (and mod $p$) cohomological theory, especially (integral) $p$-adic Simpson correspondence and $p$-adic Riemann-Hilbert correspondence.

MathSciNet   ORCID

Papers

1. (With Yu Min(闵钰)) Integral $p$-adic non-abelian Hodge theory for small representations.

   Adv. Math. Volume 458, Part A, December 2024, 109950.

   Journal   arXiv:2304.07078

2. (With Yu Min(闵钰)) $p$-adic Simpson correspondence via prismatic crystals.

   Accepted by J. Eur. Math. Soc.

   Journal   arXiv:2201.08030

3. (With Yu Min(闵钰)) Relative $(\phi ,\Gamma )$-modules and prismatic $F$-crystals.

   Math. Z. Volume 310, Paper No. 16 (2025)

   Journal   arXiv:2110.06076

4. A $p$-adic Simpson correspondence for rigid analytic varieties.

   Algebra Number Theory Vol. 17 (2023), No. 8, 1453–1499.

   Journal   arXiv:2101.00263

   .

1. (With Hui Gao(高辉) and Yu Min(闵钰)) Prismatic crystals over the de Rham period sheaf. (2022). submitted.

   arXiv:2206.10276

2. (With Hui Gao(高辉) and Yu Min(闵钰)) Hodge--Tate prismatic crystals and Sen theory. (2023). submitted.

   arXiv:2311.07024

3. Prismatic crystals for smooth schemes in characteristic $p$ with Frobenius lifting mod $p^2$. (2024). submitted.

   arXiv:2402.02109

4. (With Yudong Liu(刘宇东), Chenglong Ma(马成龙), Xiecheng Nie(聂勰成) and Xiaoyu Qu(瞿霄宇)) A stacky $p$-adic Riemann-Hilbert correspondence on Hitchin-small locus. (2024)

   arXiv:2409.08785

5. (With Mao Sheng(盛茂)) The small $p$-adic Simpson correspondence in the semi-stable reduction case. (2024).

   arXiv:2410.09685

6. (With Hui Gao(高辉) and Yu Min(闵钰)) Prismatic crystals and $p$-adic Riemann-Hilbert correspondence. (2024).

   arXiv:2411.18780

1. (With Yu Min(闵钰)) On the Hodge-Tate crystal over $O_{\mathrm{K}}$.

   arXiv:2112.10140

   There is a gap in the proof of Prop. 5.8. All results in this preprint are contained as a part of arXiv:2311.07024, except Section 5.

2. (With Yu Min(闵钰)) Hodge--Tate crystals on the logarithmic prismatic sites of semi-stable formal schemes. (2022).

   arXiv:2205.08895

   All results in this paper are contained in arXiv:2411.18780