Yupeng Wang's Homepage
Yupeng Wang(王宇鹏)
About me
I am now an assistant professor in Shanghai Center for Mathematical Science(SCMS, 上海数学中心)
at Fudan University(FDU, 复旦大学)
Email: (a) wangyupeng@fudan.edu.cn (b) 2306393435@pku.edu.cn (c) wangyupeng@amss.ac.cn
Office: Room 433, SCMS, FDU(Jiang Wan, 江湾), 2005 Songhu Road Shanghai, China.
Experience
2023.09-2025.09, Postdoc. Beijing International Center for Mathematical Research(BICMR),
Peking University(PKU).
Mentor: Prof. Ruochuan Liu(刘若川).
2020.09-2023.08, Postdoc. Morningside Center of Mathematics(MCM),
Academy of Mathematics and System Science(AMSS), Chinese Academy of Science(CAS).
Mentor: Prof. Yongquan Hu(胡永泉)
2015.09-2020.08, PhD of Mathematics School of Mathematical Science,
Peking University
Advisor: Prof. Ruochuan Liu(刘若川).
2011.09-2015.07, BS of Mathematics School of Mathematical Science, Peking University
Research
I am interested in
-adic Hodge theory and
-adic (and mod ) cohomological theory,
especially (integral) -adic Simpson correspondence and
-adic Riemann-Hilbert correspondence.
MathSciNet ORCID
Papers
- Prismatic crystals for smooth schemes in characteristic with Frobenius lifting mod .
Manuscripta Math. 176, no. 6, Paper No. 77 (2025)
arXiv:2402.02109
- Integral -adic non-abelian Hodge theory for small representations. (With Yu Min)
Adv. Math. Volume 458, Part A, December 2024, 109950.
arXiv:2304.07078
- -adic Simpson correspondence via prismatic crystals. (With Yu Min)
Accepted by J. Eur. Math. Soc.
arXiv:2201.08030
- Relative -modules and prismatic -crystals. (With Yu Min)
Math. Z. Volume 310, Paper No. 16 (2025)
arXiv:2110.06076
- A -adic Simpson correspondence for rigid analytic varieties.
Algebra Number Theory Vol. 17 (2023), No. 8, 1453–1499.
arXiv:2101.00263
.
Preprints
- Prismatic crystals over the de Rham period sheaf. (With Hui Gao and Yu Min)
arXiv:2206.10276, (2022). submitted.
- Hodge--Tate prismatic crystals and Sen theory. (With Hui Gao and Yu Min)
arXiv:2311.07024, (2023). submitted.
- A stacky -adic Riemann-Hilbert correspondence on Hitchin-small locus. (With Yudong Liu, Chenglong Ma, Xiecheng Nie, and Xiaoyu Qu)
arXiv:2409.08785, (2024). submitted.
- The small -adic Simpson correspondence in the semi-stable reduction case. (With Mao Sheng)
arXiv:2410.09685, (2024).
- Prismatic crystals and -adic Riemann-Hilbert correspondence. (With Hui Gao and Yu Min)
arXiv:2411.18780, (2024).
- Galois representations over convergent de Rham period ring. (With Hui Gao)
arXiv:2604.21605, (2026). submitted.
Other writings
- On the Hodge-Tate crystal over . (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.
- 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
Collaborators
Hui Gao(高辉),
Yudong Liu(刘宇东),
Chenglong Ma(马成龙),
Yu Min(闵钰),
Xiecheng Nie(聂勰成),
Mao Sheng(盛茂),
Xiaoyu Qu(瞿霄宇)
Seminar
- Number theory seminar at FDU(SMS,SCMS & SIMIS)
Teaching
- 2026 Autumn: Commutative Algebra (Honor)
- 2026 Spring: Representations Theory (Honor)