Mentor: Prof. Ruochuan Liu(刘若川).

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. A stacky $p$-adic Riemann-Hilbert correspondence on Hitchin-small locus. (With Yudong Liu, Chenglong Ma, Xiecheng Nie, and Xiaoyu Qu)

   Accepted by Algebra Number Theory   arXiv:2409.08785

2. Prismatic crystals for smooth schemes in characteristic $p$ with Frobenius lifting mod $p^2$.

   Manuscripta Math., 176, no. 6, Paper No. 77 (2025)   arXiv:2402.02109

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

   Adv. Math., Volume 458, Part A, December 2024, 109950.   arXiv:2304.07078

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

   Accepted by J. Eur. Math. Soc.   arXiv:2201.08030

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

   Math. Z., Volume 310, Paper No. 16 (2025)   arXiv:2110.06076

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

   Algebra Number Theory , Vol. 17 (2023), No. 8, 1453–1499.   arXiv:2101.00263

   .

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

   arXiv:2206.10276, (2022). submitted.

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

   arXiv:2311.07024, (2023). submitted.

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

   arXiv:2410.09685, (2024). submitted.

4. Prismatic crystals and $p$-adic Riemann-Hilbert correspondence. (With Hui Gao and Yu Min)

   arXiv:2411.18780, (2024).

5. Galois representations over convergent de Rham period ring. (With Hui Gao)

   arXiv:2604.21605, (2026). submitted.

6. A $p$-adic Riemann--Hilbert correspondence over Robba rings. (With Zekun Chen, Ruochuan Liu, Jiahong Yu, and Xinwen Zhu)

   arXiv:2610.21065, (2026).

7. Strongly Hodge--Tate implies de Rham. (With Hui Gao)

   In preparation.

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

   arXiv:2112.10140, (2021).

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

   arXiv:2205.08895, (2022)

   All results in this paper are contained in arXiv:2411.18780

Zekun Chen(陈泽坤), Hui Gao(高辉), Ruochuan Liu(刘若川), Yudong Liu(刘宇东), Chenglong Ma(马成龙), Yu Min(闵钰), Xiecheng Nie(聂勰成) Xiaoyu Qu(瞿霄宇), Mao Sheng(盛茂), Jiahong Yu(余佳弘), Xinwen Zhu(朱歆文)

Seminar

1. Number theory seminar at FDU(SMS,SCMS & SIMIS)

Teaching

1. 2026 Autumn: Commutative Algebra (Honor)
2. 2026 Spring: Representations Theory (Honor)