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 of parabolic Verma modules for non-symmetric polar pairs, Journal of Lie Theory, Volume 24 (2014), Number 4, Page 1047–1066.
[2] 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.
[3] Haian HE, Classification of Klein four symmetric pairs of holomorphic type for E6(-14), Geometriae Dedicata, Volume 197 (2018), Page 77–89.
[4] Haian HE, Classification of Klein four symmetric pairs of holomorphic type for E7(-25), Geometriae Dedicata, Volume 202 (2019), Page 153–164.
[5] Haian HE, Discretely decomposable restrictions of (ց, K)-modules for Klein four symmetric pairs of exceptional Lie groups of Hermitian type, International Journal of Mathematics, Volume 31 (2020), Number 1, 2050001 (12 pages).
[6] Haian HE, A criterion for discrete branching laws for Klein four symmetric pairs and its application to E6(-14), International Journal of Mathematics, Volume 31 (2020), Number 6, 2050049 (15 pages).
[7] Haian HE, Kobayashi’s conjecture on associated varieties for Klein four symmetric pairs (E6(-14), Spin(8, 1)), Journal of Lie Theory, Volume 30 (2020), Number 3, Page 705–714.
[8] Haian HE, Discrete decomposability of restrictions of (ց, K)-modules for (G, Gσ) with an automorphism σ of even order, Geometriae Dedicata, Volume 215 (2021), Page 415–419.
[9] 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, 2350039 (9 pages).
Multiple-authored:
[1] 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.
[2] Lin-Gen DING, Chao-Ping DONG, and Haian HE, Dirac series for E6(-14), Journal of Algebra, Volume 590 (2022), Page 168-201.
[3] Yilian CHEN and Haian HE, On the discretely decomposable restrictions of (ց, K)-modules for Klein four symmetric pairs, International Journal of Mathematics, Volume 34 (2023), Number 1, 2250094 (16 pages).