HUANG, Jingsong

Presidential Chair Professor

Education Background

Ph.D., M.I.T

Bachelor, Peking University 

Research Field
Representation theory, lie groups and harmonic analysis
Class
Mathematics and Applied Mathematics
Email
huangjingsong@cuhk.edu.cn
Biography

Prof. Huang is currently a presidential chair professor and the director of the Mathematics Research Center at the Chinese University of Hong Kong, Shenzhen. He received his Bachelor degree from Peking University in 1984 and Ph.D. degree from M.I.T. in 1989.  He worked at Institute for Advanced Study in Princeton and University of Utah before he joined The Hong Kong University of Science and Technology in 1993, where he became a Chair Professor of Mathematics in 2013.  His research is focused on representation theory of Lie groups and harmonic analysis on Lie groups. Together with his collaborators, Prof. Huang proved Vogan conjecture and initiated the study of Dirac cohomology and Dirac series, which opened a new research area.  Prof. Huang is the winner of the State Natural Science Award Class II in 2002 and Croucher Senior Research Award in 2004. 

Academic Publications
  1. J.-S. Huang, The unitary dual of the universal covering group GL (n, R), Duke Math. J. 61 (1990), 705-745.
  2. J.-S. Huang, Metaplectic correspondences and unitary representations, Compositio Mathematica 80 (1991), 309-322.
  3. J.-S. Huang, Intertwining differential operators and irreducibility of generalized Verma modules, Math. Ann. 297(1993), 309-324.
  4. J.-S. Huang, Minimal representations, shared orbits and dual pair correspondence, International Mathematics Research Notices 1995, No. 6, 309-323.
  5. J.-S. Huang, T. Oshima, N. Wallach, Dimensions of spaces of generalized spherical functions, Amer. J. Math. 18 (1996), 637-652.
  6. J.-S. Huang, P. Pandzic and G. Savin, New dual pair correspondences, Duke Math. J. 82 (1996), 447-471.
  7. J. Adams, J.-S. Huang, Kazhdan/Patterson lifting for GL (n, R), Duke Math. J. 89 (1997), 423-444.
  8. J.-S. Huang, K. Maggard and G. Savin, Unipotent representations of G_2 arising from the minimal representation of D_4, J. reine angew. Math. 500 (1998), 65-81.
  9. J. Adams, J.-S. Huang, D. Vogan，Functions on the model orbit in E_8, Representation Theory 2 (1998), 224-263.
  10. J.-S. Huang, J.-S. Li, Unipotent representations attached to spherical nilpotent orbits, Amer. J. Math. 121 (1999), 497-517.
  11. J.-S. Huang, P. Pandzic, Dirac cohomology, unitary representations and a proof of a Conjecture of Vogan, J.  Amer. Math. Soc. 15 (2002), 185-202.
  12. J.-S. Huang, Admissible square quadruplets and semisimple symmetric spaces, Adv. Math.165 (2002), 101-123.
  13. J.-S. Huang, P. Pandzic, Dirac Operators in Representation Theory, Mathematics: Theory and Applications, Birkhauser, 2006.
  14. C.-P. Dong，J.-S. Huang, Jacquet modules and Dirac cohomology, Adv. Math. 226 (2011), 2911-2934.
  15. J.-S. Huang, Dirac cohomology and Dirac induction, Science China Mathematics 54 (2011), 2373-2381.
  16. J.S. Huang, W. Xiao, Dirac cohomology of highest weight modules, Selecta Mathematica New Series 18 (2012), 803-824.
  17. J.-S. Huang, P. Pandzic, F.-H. Zhu, Dirac cohomology, K-characters and branching laws, Amer. J. Math. 135 (2013), 1253-1269.
  18. M.-K. Chuah, J.-S. Huang, Dirac cohomology and geometric quantization，J. reine angew Math. 720 (2016), 33-50.
  19. J.-S. Huang, D. Milicic, B. Sun, Harish-Chandra orthogonality relations for admissible representations, J. Euro. Math. Soc. 22 (2020), 1095-1113.
  20. K.-M. Chuah, J.-S. Huang, J. Wolf, Partial Dirac cohomology and tempered representations, J. Funct. Ana.  284 (2023), 1-32.