Haian HE (何 海安)

Academic position:Associate professor
Email:haian@shu.edu.cn
Research interests:Representation theory of real reductive groups
Orcid: https://orcid.org/0000-0001-6673-6983
Academic degrees:
Doctor of philosophy in Mathematics, The Hong Kong University of Science and Thechonology (2014);
Bachelor of science in Mathematics and Applied Mathematics, Shanghai Jiaotong University (2009).
Former and present academic positions:
March 2022 - : Associate professor in Department of Mathematics, College of Sciences, Shanghai University;
December 2016 - February 2022: Lecturer in Department of Mathematics, College of Sciences, Shanghai University;
October 2014 - November 2016: Postdoctoral fellow in Beijing International Center for Mathematical Research, Peking University;
Research fundings:
[1] Branching problems for Klein four symmetric pairs, National Natural Science Foundation of China (2019);
[2] Discrete decomposability of restricted representations for reductive Lie groups, Natural Science Foundation of Shanghai (2022).
Research papers:
Single-authored:
[1] Haian HE: Branching laws for non-complex simple Lie groups of type F_4. Taiwanese Journal of Mathematics, Volume 29 (2025), Number 5, Page 851–857.
[2] Haian HE: A discrete branching law for (G, G^{(Z/2Z)^n}). International Journal of Mathematics, Volume 36 (2025), Number 8, Article 2550016 (9 pages).
[3] Haian HE: A necessary condition for discrete branching laws for Klein four symmetric pairs. Journal of Algebra and Its Applications, Volume 22 (2023), Number 2, Article 2350039 (9 pages).
[4] Haian HE: Discrete decomposability of restrictions of (g, K)-modules for (G, Gσ) with an automorphism σ of even order. Geometriae Dedicata, Volume 215 (2021), Page 415–419.
[5] Haian HE: Kobayashi’s conjecture on associated varieties for Klein four symmetric pairs (E_{6(−14)}, Spin(8, 1)). Journal of Lie Theory, Volume 30 (2020), Number 3, Page 705–714.
[6] Haian HE: A criterion for discrete branching laws for Klein four symmetric pairs and its application to E_{6(−14)}. International Journal of Mathematics, Volume 31 (2020), Number 6, Article 2050049 (15 pages).
[7] Haian HE: Discretely decomposable restrictions of (g, K)-modules for Klein four symmetric pairs of exceptional Lie groups of Hermitian type. International Journal of Mathematics, Volume 31 (2020), Number 1, Article 2050001 (12 pages).
[8] Haian HE: Classification of Klein four symmetric pairs of holomorphic type for E_{7(−25)}. Geometriae Dedicata, Volume 202 (2019), Page 153–164.
[9] Haian HE: Classification of Klein four symmetric pairs of holomorphic type for E_{6(−14)}. Geometriae Dedicata, Volume 197 (2018), Page 77–89.
[10] Haian HE: On the reducibility of scalar generalized Verma modules of abelian type. Algebras and Representation Theory, Volume 19 (2016), Number 1, Page 147–170.
[11] Haian HE: Branching laws of parabolic Verma modules for non-symmetric polar pairs. Journal of Lie Theory, Volume 24 (2014), Number 4, Page 1047–1066.
Multiple-authored:
[1] Jiaying DING, Haian HE, Huangyuan PAN, and Lifu WANG: Branching laws of Klein four-symmetric pairs for Sp(n, R). Geometriae Dedicata, Volume 218 (2024), Number 3, Article 69 (13 pages).
[2] Haian HE, Jing-song HUANG, and Kayue Daniel WONG: Transfer of highest weight modules and small unipotent representations. Acta Mathematica Sinica, English Series, Volume 40 (2024), Number 3, Page 772–791.
[3] Yilian CHEN and Haian HE: On the discretely decomposable restrictions of (g,K)-modules for Klein four symmetric pairs. International Journal of Mathematics, Volume 34 (2023), Number 1, Article 2250094 (16 pages).
[4] Lin-Gen DING, Chao-Ping DONG, and Haian HE: Dirac series for E_{6(−14)}. Journal of Algebra, Volume 590 (2022), Page 168-201.
[5] Haian HE, Toshihisa KUBO, and Roger ZIERAU: On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras. Kyoto Journal of Mathematics, Volume 59 (2019), Number 4, Page 787-813.
(Last updated: 31 December 2025)