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 p-adic Hodge theory and p-adic (and mod p) cohomological theory, especially (integral) p-adic Simpson correspondence and p-adic Riemann-Hilbert correspondence.

    MathSciNetORCID

    Papers

    1. Prismatic crystals for smooth schemes in characteristic p with Frobenius lifting mod p2.

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

    2. 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

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

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

    4. Relative (φ,Γ ) -modules and prismatic F-crystals. (With Yu Min)

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

    5. A p-adic Simpson correspondence for rigid analytic varieties.

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

      .

    Preprints

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

      arXiv:2409.08785, (2024). submitted.

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

      arXiv:2410.09685, (2024).

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

      arXiv:2411.18780, (2024).

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

      arXiv:2604.21605, (2026). submitted.

    Other writings

    1. On the Hodge-Tate crystal over OK. (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

    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

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

    Teaching

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