黄劲松

校长讲座教授

教育背景

学士(北京大学)

博士(美国麻省理工学院)

研究领域
表征理论,李群和调和分析
电子邮件
huangjingsong@cuhk.edu.cn
个人简介

黄劲松教授现任香港中文大学(深圳)校长讲座教授。黄教授是一位经验丰富的讲师和博士导师,在表征理论、李群和调和分析等领域有丰富的研究经验。他出版了3本书和44篇研究论文,其中一些在他所在领域的顶级期刊上发表。1984年获北京大学学士学位,1989年获美国麻省理工学院博士学位。他于1933年加入香港科技大学,担任助理教授,自2013年起担任数学系讲座教授。黄教授于2002年获国家自然科学奖,2004年获裘槎高级研究奖。

学术著作

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, Compositio Mathematica 80 (1991), 309-322.

3. Intertwining differential operators and irreducibility of generalized Verma modules, Mathematsche Annalen 297 (1993), 309-324.

4. Minimal representations, shared orbits and dual pair correspondences, International Mathematics Research Notices 1995, No.6, 309-323.

5. Dimensions of spaces of generalized 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. On certain small representations of indefinite orthogonal groups, Representation Theory 1 (1997), 190-206. (with C.-B. Zhu)

8. Kazhdan / Patterson lifting for GL(n,R), Duke Mathematical Journal 89 (1997), 423-444. (with J. Adams)

9. Functions on the model orbit in E8, Representation Theory 2(1998), 224-263. (with J. Adams and D. Vogan)

10. Unipotent representations of G2 arising from the minimal representation of DE4 , J. reine angew. Math. (Crelle's Journal) 500 (1998), 65-81. (with K. Maggard and G. Savin)

11. Unipotent representations attached to spherical nilpotent orbits, American Journal of Mathematics 121 (1999), 497-517.(with J.-S. Li)

12. Admissible square quadruplets and semisimple symmetric spaces, Advances in Mathematics 165 (2002), 101-123.

13. Dirac cohomology, unitary representations and a proof of a conjecture of Vogan, Journal of American Mathematical Society 15(2002), 185-202. (With P. Pandzic)

14. Generalized spherical functions on p-adic reductive groups, Transactions of American Mathematical Society 357 (2005), 2081-
2117. (With M. Tadic)

15. Dirac cohomology for Lie Superalgebras, Transformation Groups 10 (2005), 201-209. (With P. Pandzic)

16. Dirac operators and Lie algebra cohomology, Representation Theory 10 (2006), 299-313. (With P. Pandzic and D. Renard)

17. Dirac cohomology of some Harish-Chandra modules, Transformation Groups 14 (2009), 163-173. (With Y. Kang and P. Pandzic)

18. Double Vogan diagrams and semisimple symmetric spaces, Trans. Amer. Math. Soc. 362 (2010), 1721-1750 . (With M.-K. Chuah)

19. Jacquet modules and Dirac cohomology, Advances in Mathematics, 226 (2011), 2911-2934. (With C.-P. Dong)

20. Dirac cohomology and Dirac induction, Science China Mathematics 54 (2011), 2373-2381.

21. Dirac cohomology of highest weight modules, Selecta Mathematica New Series, 18 (2012), 803-824. (with W. Xiao)

22. Dirac cohomology, K-characters and branching laws, American Journal of Mathematics 135 (2013), 1253-1269. (With P. Pandzic and F. Zhu)

23. Dirac cohomology of cohomologically induced modules, American Journal of Mathematics 137 (2015), 37-60. (With C.-P. Dong)

24. Dirac cohomology, elliptic representations and endoscopy, Representation Theory of Reductive Groups, in Honor of 60th Birthday of David

25. Dirac cohomology and geometric quantization, J. reine angew. Math. (Crelle's Journal) 720 (2016), 33-50. (With M.-K.Chuah)

26. On classifying unitary representations by their Dirac cohomology, Science China Mathematics 60 (2017), 1937-1962. (With P. Pandzic and D. Vogan)

27. A Casselman-Osborne theorem for rational Cherednik algebras, Transformation Groups 23 (2018), 75-99. (With K.Y. Wong)

28. On Borel - de Siebenthal representations, International Mathematics Research Notices 2019, 4845-4858. (With Y. Luan and B. Sun)

29. Generalized Fourier transforms associated with the oscillator representation, Journal of Fourier Analysis and Applications, 25 (2019), 2782-2800. (With L. Zhou)

30. Harish-Chandra orthoganality relations for admissible representations, Journal of the European Mathematical Societey, 22 (2020), 1095-1113. (With D. Milicic and B. Sun)

31. Dirac cohomology and character lifting, Acta Mathematica Sinica, English Series, 37 (2021), 525-537.3

32. Symplectic Dirac cohomology and lifting of characters to metaplectic groups, Lie Groups, Number Theory and Vertex Operators, Contemporary Mathematics 768 (2021), 43-53.

33. Book: Lectures on Representation Theory, 189pp, World Scientific Publisher, 1999.

34. Book: Dirac Operators in Representation Theory, 199pp, Birkhauser book series, Mathematics: Theory and Applications, 2006. (with
P. Pandzic)