Haining Wang's Mathematical Home Page

I am a tenure track associate professor at Shanghai Center for Mathematical Sciences at Fudan University. I am interested in number theory and related topics in representation theory and algebraic geometry. I received my doctoral degree from Penn State under the supervison of Wen-Ching Winnie Li and Ming-Lun Hsieh, then I was a postdoc of Henri Darmon at McGill. All my works can be found on my Arxiv page: https://arxiv.org/a/wang_h_9.html.

Preprints

  1. Flach system of Jacquet–Langlands type and quaternionic period, preprint, 2023.
  2. Flach system on Quaternionic Hilbert–Blumenthal surfaces and distinguished periods, preprint, 2023.
  3. Arithmetic level raising on triple product of Shimura curves and Gross-Schoen Diagonal cycles II: Bipartite Euler system, preprint, 2023.
  4. Level lowering on Siegel modular threefold of paramodular level, preprint, 2022.
  5. Arithmetic level raising on certain quaternionic unitary Shimura variety, preprint, 2022.
  6. Deformations of rigid Galois representations and cohomology of certain quaternionic unitary Shimura variety, preprint, 2022.

Publications

  1. On the superspecial loci of orthogonal type Shimura varieties, to appear in Int. J. Number Theory, 2023.
  2. Arithmetic level raising on triple product of Shimura curves and Gross-Schoen Diagonal cycles I: Ramified case, Algebra and Number theory, 2023.
  3. On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights, Ann. Math. Québec, 2022.
  4. Indivisibility of Heegner cycles over Shimura curves and Selmer groups, J. Inst. Math. Jussieu, 2022.
  5. On the Bruhat-Tits stratification for GU(2,2) type Rapoport-Zink space: unramified case, Ann. Math. Québec, 2020.
  6. On quaternionic unitary Rapoport-Zink spaces with parahoric level structures, Inter. Math. Res. Notices, 2020.
  7. Deligne-Lusztig varieties and basic EKOR strata, Can. Math. Bulletin, 2020.
  8. On the Bruhat-Tits stratification of a quaternionic unitary Shimura variety, Math. Annalen, 2019.
  9. Fixed points and homology of superelliptic Jacobians,with Jiangwei Xue and Chia-Fu Yu, Math. Zeitschrift, 2014.

Teaching

  1. Introduction to Algebraic Nunber Theoery, 2021 Fall, Fudan University.
  2. Introduction to Number theory, 2023 Spring, Fudan University.

Seminars

Seminar on class field theory (cancelled), 2022 Spring, Fudan University