HUANG, Jingsong

Presidential Chair Professor

Education Background

Ph.D., M.I.T

Bachelor, Peking University 

Research Field
Representation theory, Lie groups and harmonic analysis
Academic Area
Mathematics and Applied Mathematics
Personal Website (CUHK-Shenzhen)
https://myweb.cuhk.edu.cn/huangjingsong
Email
huangjingsong@cuhk.edu.cn
Biography

Prof. Jing-Song Huang is currently a presidential chair professor and director of the Mathematics Research Center at The Chinese University of Hong Kong, Shenzhen. He received his Bachelor degree from Peking University and Ph.D. degree from M.I.T.. He worked at Institute for Advanced Study in Princeton and University of Utah before joining the Hong Kong University of Science and Technology, where he became a Chair Professor of Mathematics. He has been working on representation theory, noncommutative harmonic analysis and applications. He received the State Natural Science Award Class II and Croucher Senior Research Award. His current research is focused on representation theory of Lie groups, noncommutative harmonic analysis and related quantum mathematics.

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.