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

Prof. Huang is a well-established scholar in the fields of representation theory, lie groups and harmonic analysis. He has a strong publication record of 3 books and 44 research articles, a number of which are published in top journals in his area.

Prof. Huang received his Bachelor’s degree from Peking University in 1984 and Ph.D. degree from M.I.T. in 1989. He joined The Hong Kong University of Science and Technology in 1933 as an Assistant Professor and has been a Chair Professor in the Department of Mathematics since 2013.

Prof. Huang is the winner of the State Natural Science Award Class II in 2002 and Croucher Senior Research Award in 2004. He is also a rather experienced instructor and Ph.D. advisor.

Academic Publications
  1. The unitary dual of the universal covering group of GL(n;R), Duke Mathematical Journal 61 (1990), 705-745.
  2. Metaplectic correspondences and unitary representations, Com-positio Mathematica 80 (1991), 309-322.
  3. Intertwining dierential operators and irreducibility of general-ized Verma modules, Mathematsche Annalen 297 (1993), 309-324.
  4. Minimal representations, shared orbits and dual pair correspon-dences, International Mathematics Research Notices 1995, No.6, 309-323.
  5. Dimensions of spaces of generalised spherical functions, American Journal of Mathematics 118 (1996), 637-652. (with T. Oshima and N. Wallach)
  6. New dual pair correspondences, Duke Mathematical Journal 82 (1996), 447-471. (with P. Pandzic and G. Savin)
  7. Harmonic analysis on compact polar spaces, Pacific Journal of Mathematics 175 (1996), 553-569.
  8. Plancherel formulae for non-symmetric polar spaces, Pacific Journal of Mathematics 176 (1996), 345-356.
  9. On certain small representations of indefinite orthogonal groups, Representation Theory 1 (1997), 190-206. (with C.-B. Zhu)
  10. Kazhdan/Patterson lifting for GL(n;R), Duke Mathematical Journal 89 (1997), 423-444. (with J. Adams)
  11. Functions on the model orbit in E8, Representation Theory 2 (1998), 224-263. (with J. Adams and D. Vogan)
  12. Unipotent representations of G2 arising from the minimal representation of DE 4 , J. reine angew. Math. (Crelle's Journal) 500 (1998), 65-81. (with K. Maggard and G. Savin)
  13. Unipotent representations attached to spherical nilpotent orbits, American Journal of Mathematics 121 (1999), 497-517. (with J.-S. Li)
  14. Admissible square quadruplets and semisimple symmetric spaces, Advances in Mathematics 165 (2002), 101-123.
  15. Dirac cohomology, unitary representations and a proof of a conjecture of Vogan, Journal of American Mathematical Society 15 (2002), 185-202. (With P. Pandzic)
  16. Generalized spherical functions on p-adic reductive groups, Transactions of American Mathematical Society 357 (2005), 2081-2117. (With M. Tadic)
  17. Dirac cohomology for Lie Superalgebras, Transformation Groups 10 (2005), 201-209. (With P. Pandzic)
  18. Dirac operators and Lie algebra cohomology, Representation Theory 10 (2006), 299-313. (With P. Pandzic and D. Renard)
  19. Dirac cohomology of some Harish-Chandra modules, Transformation Groups 14 (2009), 163-173. (With Y. Kang and P. Pandzic)
  20. Double Vogan diagrams and semisimple symmetric spaces, Trans.Amer. Math. Soc. 362 (2010), 1721-1750 . (With M.-K.Chuah)
  21. Jacquet modules and Dirac cohomology, Advances in Mathematics, 226 (2011), 2911-2934. (With C.-P. Dong)
  22. Dirac cohomology and Dirac induction, Science China Mathematics 54 (2011), 2373-2381.
  23. Dirac cohomology of Wallach representations, Pacific Journal of Mathematics, 250 (2011), 163-190. (With P. Pandzic and V.Protsak)
  24. Dirac cohomology of highest weight modules, Selecta Mathematica New Series, 18 (2012), 803-824. (with W. Xiao)
  25. Dirac cohomology, K-characters and branching laws, American Journal of Mathematics 135 (2013), 1253-1269. (With P. Pandzic and F. Zhu)
  26. Klein four subgroups in Lie algebra automorphisms, Pacific Journal of Mathematics, 262 (2013), 397-420. (With J. Yu)
  27. Dirac cohomology of cohomologically induced modules, American Journal of Mathematics 137 (2015), 37-60. (With C.-P. Dong)
  28. Dirac cohomology, elliptic representations and endoscopy, Representation Theory of Reductive Groups, in Honor of 60th Birthday of David Vogan, Birkhauser, Progress in Mathematics, 321(2015), 241-276.
  29. Dirac cohomology and geometric quantization, J. reine angew.Math. (Crelle's Journal) 720 (2016), 33-50. (With M.-K. Chuah)
  30. On classifying unitary representations by their Dirac cohomology, Science China Mathematics 60 (2017), 1937-1962. (With P. Pandzic and D. Vogan)
  31. A Casselman-Osborne theorem for rational Cherednik algebras,Transformation Groups 23 (2018), 75-99. (With K.Y. Wong)
  32. On Borel { de Siebenthal representations, International Mathematics Research Notices 2019, 4845{4858. (With Y. Luan and B. Sun)
  33. Generalized Fourier transforms associated with the oscillator representation, Journal of Fourier Analysis and Applications, 25 (2019), 2782-2800. (With L. Zhou)
  34. Harish-Chandra orthoganality relations for admissible representations, Journal of the European Mathematical Societey, 22 (2020), 1095-1113. (With D. Milicic and B. Sun)
  35. Dirac cohomology and character lifting, Acta Mathematica Sinica, English Series, 37 (2021), 525-537.
  36. Symplectic Dirac cohomology and lifting of characters to metaplectic groups, Lie Groups, Number Theory and Vertex Operators, Contemporary Mathematics 768 (2021), 43-53.
  37. Book: Lectures on Representation Theory, 189pp, World Scientific Publisher, 1999.
  38. Book: Dirac Operators in Representation Theory, 199pp, Birkhauser book series, Mathematics: Theory and Applications, 2006. (with P. Pandzic)