Jiu-Kang Yu

1个人简介

Jiu-Kang Yu joined HIMIS at the founding time.  Previously he was the Lee Hysan Professor of Mathematics at the Chinese University of Hong Kong.  His specialty is number theory and representatiton theory.

2研究兴趣 Research interests & description

Number theory, representation theory, algebraic geometry, and automorphic forms.

My current research is about p-adic groups, their structure and representation theory,  in particular the theory and construction of types and supercuspidal representations, the uniform subgroups and their Iwasawa algebras, the connection with the conjectural local Langlands correspondence, applications to number theory, and generalizations of Ramanujan graphs.

3教育经历 Education and Degrees

National Taiwan University, Taipei, Taiwan (1986–1989), B.S. in Mathematics  

Academia Sinica, Taipei, Taiwan (1989–1990)  

Harvard University, Cambridge, MA (1990–1994), Ph.D. in Mathematics;

4工作经历 Professional history

Visiting Associate Professor, National Center for Theoretical Science, Taiwan,  Fall Term 2000  

Visiting scholar, Institut des Hautes Études Scientifiques, France,  Spring Term 2003  

Visiting scholar, Harvard Univeristy,  2009–2010  

5荣誉奖项 Honors

Sloan doctoral dissertation fellowship, 1994, Alfred P. Sloan Foundation

Sloan research fellowship, 2001-2003, Alfred P. Sloan Foundation  

Chern prize, 2001, International Congress of Chinese Mathematicians  

University Faculty Scholar, 2005-2010, Purdue University  

Distinguished Papers Award, 2017, International Consortium of Chinese Mathematicians

6出版物 Publications

1. Jiu-Kang Yu and Lei Zhang, A comparison theorem for the pro-étale fundamental group, Int. Math. Res. Not. IMRN 17 (2024), 12075–12082, DOI 10.1093/imrn/rnae150. MR4794994

2. Ju-Lee Kim and Jiu-Kang Yu, Construction of tame types, Representation theory, number theory, and invariant theory, Progr. Math., vol. 323, Birkhäuser/Springer, Cham, 2017, pp. 337–357, DOI 10.1007/9783-319-59728-7 12. MR3753917

3. Tong Liu and Jiu-Kang Yu, On automorphy of certain Galois representations of GO4-type, J. Number Theory 161 (2016), 49–74, DOI 10.1016/j.jnt.2014.12.017. With an appendix by Liang Xiao. MR3435718

4. Jiu-Kang Yu, Smooth models associated to concave functions in Bruhat-Tits theory, Autour des schémas en groupes. Vol. III, Panor. Synthèses, vol. 47, Soc. Math. France, Paris, 2015, pp. 227–258 (English, with English and French summaries). MR3525846

5. Michel Demazure, Bas Edixhoven, Philippe Gille, Wilberd van der Kallen, Ting-Yu Lee, Simon Pepin Lehalleur, Matthieu Romagny, Jilong Tong, and Jiu-Kang Yu, Autour des schémas en groupes. Vol. III (Gopal Prasad and Patrick Polo, eds.), Panoramas et Synthèses [Panoramas and Syntheses], vol. 47, Société Mathématique de France, Paris, 2015 (French). A celebration of SGA3; Lecture notes from the summer school held at the Centre International de Rencontres Mathématiques (CIRM), Luminy, September 2011; Edited by Bas Edixhoven, Philippe Gille, Gopal Prasad and Patrick Polo. MR3495141

6. Mark Reeder and Jiu-Kang Yu, Epipelagic representations and invariant theory, J. Amer. Math. Soc. 27 (2014), no. 2, 437–477, DOI 10.1090/S0894-0347-2013-00780-8. MR3164986

7. Jinpeng An, Jiu-Kang Yu, and Jun Yu, On the dimension datum of a subgroup and its application to isospectral manifolds, J. Differential Geom. 94 (2013), no. 1, 59–85. MR3031860

8. Mark Reeder, Paul Levy, Jiu-Kang Yu, and Benedict H. Gross, Gradings of positive rank on simple Lie algebras, Transform. Groups 17 (2012), no. 4, 1123–1190, DOI 10.1007/s00031-012-9196-3. MR3000483

9. Ju-Lee Kim and Jiu-Kang Yu, Twisted Levi sequences and explicit types on Sp4, Harmonic analysis on reductive, p-adic groups, Contemp. Math., vol. 543, Amer. Math. Soc., Providence, RI, 2011, pp. 135–154, DOI 10.1090/conm/543/10733. MR2798426

10. Lizhen Ji, Shing-Tung Yau, and Jiu-Kang Yu, Preface [Special issue: In honor of John Tate, Part 1 of 2], Pure Appl. Math. Q. 5 (2009), no. 4, 1195–1199. MR2560314

11. Jiu-Kang Yu, On the local Langlands correspondence for tori, Ottawa lectures on admissible representations of reductive p-adic groups, Fields Inst. Monogr., vol. 26, Amer. Math. Soc., Providence, RI, 2009, pp. 177–183, DOI 10.1090/fim/026/07. MR2508725

12. Jiu-Kang Yu, Bruhat-Tits theory and buildings, Ottawa lectures on admissible representations of reductive p-adic groups, Fields Inst. Monogr., vol. 26, Amer. Math. Soc., Providence, RI, 2009, pp. 53–77, DOI 10.1090/fim/026/02. MR2508720

13. Kirti Joshi, S. Ramanan, Eugene Z. Xia, and Jiu-Kang Yu, On vector bundles destabilized by Frobenius pull-back, Compos. Math. 142 (2006), no. 3, 616–630, DOI 10.1112/S0010437X05001788. MR2231194

14. Gopal Prasad and Jiu-Kang Yu, On quasi-reductive group schemes, J. Algebraic Geom. 15 (2006), no. 3, 507–549, DOI 10.1090/S1056-3911-06-00422-X. With an appendix by Brian Conrad. MR2219847

15. Wee Teck Gan and Jiu-Kang Yu, Schémas en groupes et immeubles des groupes exceptionnels sur un corps local. II. Les groupes F4 et E6, Bull. Soc. Math. France 133 (2005), no. 2, 159–197, DOI 10.24033/bsmf.2483 (French, with English and French summaries). MR2172264

16. Jiu-Kang Yu, A Sato-Tate law for Drinfeld modules, Compositio Math. 138 (2003), no. 2, 189–197, DOI 10.1023/A:1026122808165. MR2018826

17. Wee Teck Gan and Jiu-Kang Yu, Schémas en groupes et immeubles des groupes exceptionnels sur un corps local. I. Le groupe G2, Bull. Soc. Math. France 131 (2003), no. 3, 307–358, DOI 10.24033/bsmf.2445 (English, with English and French summaries). MR2017142

18. Gopal Prasad and Jiu-Kang Yu, On finite group actions on reductive groups and buildings, Invent. Math. 147 (2002), no. 3, 545–560, DOI 10.1007/s002220100182. MR1893005

19. Ching-Li Chai and Jiu-Kang Yu, Congruences of Néron models for tori and the Artin conductor, Ann. of Math. (2) 154 (2001), no. 2, 347–382, DOI 10.2307/3062100. With an appendix by Ehud de Shalit. MR1865974

20. Jiu-Kang Yu, Construction of tame supercuspidal representations, J. Amer. Math. Soc. 14 (2001), no. 3, 579–622, DOI 10.1090/S0894-0347-01-00363-0. MR1824988

21. Wee Teck Gan, Jonathan P. Hanke, and Jiu-Kang Yu, On an exact mass formula of Shimura, Duke Math. J. 107 (2001), no. 1, 103–133, DOI 10.1215/S0012-7094-01-10716-3. MR1815252

22. Wee Teck Gan and Jiu-Kang Yu, Group schemes and local densities, Duke Math. J. 105 (2000), no. 3, 497–524, DOI 10.1215/S0012-7094-00-10535-2. MR1801770

23. Jing Yu and Jiu-Kang Yu, A note on a geometric analogue of Ankeny-Artin-Chowla’s conjecture, Number theory (Tiruchirapalli, 1996), Contemp. Math., vol. 210, Amer. Math. Soc., Providence, RI, 1998, pp. 101–105, DOI 10.1090/conm/210/02787. MR1478488

24. Jiu-Kang Yu, A class number relation over function fields, J. Number Theory 54 (1995), no. 2, 318–340, DOI 10.1006/jnth.1995.1122. MR1354056

25. Jiu-Kang Yu, Isogenies of Drinfel′d modules over finite fields, J. Number Theory 54 (1995), no. 1, 161–171, DOI 10.1006/jnth.1995.1108. MR1352643

26. Jiu-Kang Yu, On the moduli of quasi-canonical liftings, Compositio Math. 96 (1995), no. 3, 293–321. MR1327148

27. Jiu-Kang Yu, A-divisible modules, period maps, and quasi-canonical liftings, ProQuest LLC, Ann Arbor, MI, 1994. Thesis (Ph.D.)–Harvard University. MR2691272