mawpli

LI, Wei-Ping
李衛平

(PhD Columbia)

Phone: (852) 2358 7432
Email: mawpli@ust.hk
Office: Room 3444
Home Page

Chair Professor



Biography

Prof. Li received a Bachelor's Degree at Nankai 1980-1984, a Master's Degree at Columbia University 1985-1986, and a Doctor's Degree at Columbia University 1986-1991, respectively. He had postdoctoral appointment at Oklahoma State University 1991-1992. Prof. Li joined the Department of Mathematics of HKUST as a lecturer on 12 July, 1992. He is now a Chair Professor of the department.

Research Interests

Algebraic geometry

Teaching

  • MATH5261  Algebraic Geometry II

Awards & Honors

  • 2021 Higher Education Outstanding Scientific Research Output Award   (2021)
  • Best Paper Awards in the first annual meeting of International Consortium of Chinese Mathematician (ICCM2017)   (2017)

Selected Publications

  Article

  1. The theory of n –mixed-spin-p fields
    • Author(s): Chang, Huai-liang; Guo, Shuai; Li, Jun; Li, Weiping
    • Source: Geometry and Topology, v. 25, (2), April 2021, p. 775-811
    • Year: 2021

  2. Mixed-Spin-P fields of Fermat polynomials
    • Author(s): Chang, Huai-liang ; Li, Jun; Li, Weiping; LiU, Melissa Chiu-Chu
    • Source: Cambridge Journal of Mathematics, v. 7, (3), September 2019, p. 319-364
    • Year: 2019

  3. Genus-One Gromov–Witten Invariants of Quintic Three-folds via MSP Localization
    • Author(s): Chang, Huai-Liang ; Guo, Shuai; Li, Wei Ping ; Zhou, Jie
    • Source: International Mathematics Research Notices, 29 August 2018, article number rny201
    • Year: 2018

  4. A Survey on Mixed Spin P-fields
    • Author(s): Chang, Huai-Liang; Li, Jun; Li, Wei-Ping; Liu, Chiu Chu Melissa
    • Source: Chinese Annals of Mathematics. Series B. , v. 38, (4), 2017, p. 869-882
    • Year: 2017

  5. The Cohomological Crepant Resolution Conjecture for the Hilbert-Chow Morphisms
    • Author(s): Li, Wei-Ping; Qin, Zhenbo
    • Source: Journal of Differential Geometry. , v. 104, (3), November 2016, p. 499-557
    • Year: 2016

  6. The Gromov-Witten invariants of the Hilbert schemes of points on surfaces with p(g) > 0
    • Author(s): Hu, Jianxun; Li, Wei Ping; Qin, Zhenbo
    • Source: International Journal of Mathematics. , v. 26, (1), January 2015, article number 1550009
    • Year: 2015

  7. Witten’s top Chern class via cosection localization
    • Author(s): Chang, Huai-Liang; Li, Jun; Li, Wei Ping
    • Source: Inventiones Mathematicae. , v. 200, (3), June 2015, p. 1015-1063
    • Year: 2015

  8. Donaldson-Thomas invariants of certain Calabi-Yau 3-folds
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Communications in Analysis and Geometry. , v. 21, (3), 2013, p. 541-578
    • Year: 2013

  9. The Donaldson-Thomas invariants under blowups and flops
    • Author(s): Hu, Jianxun; Li, Wei Ping
    • Source: Journal of Differential Geometry. , v. 90, (3), 2012, p. 391-411
    • Year: 2012

  10. Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces
    • Author(s): Li, Jun; Li, Wei Ping
    • Source: Mathematische Annalen. , v. 349, (4), April 2011, p. 839-869
    • Year: 2011

  11. 1-point Gromov-Witten invariants of the moduli spaces of sheaves over the projective plane
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Transactions of the American Mathematical Society. , v. 363, (5), May 2011, p. 2551-2569
    • Year: 2011

  12. Polynomial Bridgeland stability conditions for the derived category of sheaves on surfaces
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Communications in Analysis and Geometry. , v. 19, (1), January 2011, p. 31-52
    • Year: 2011

  13. Equivariant cohomology of incidence Hilbert schemes and infinite dimensional Lie algebras
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Manuscripta mathematica. , v. 133, (3-4), November 2010, p. 519-544
    • Year: 2010

  14. Integral cohomology of Hilbert schemes of points on surfaces
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Communications in analysis and geometry. , v. 16, (5), 2008, DEC, p. 969-988
    • Year: 2008

  15. On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants
    • Author(s): Katz, Sheldon; Li, Wei Ping; Qin, Zhenbo
    • Source: Mathematical research letters. , v. 14, (2-3), 2007, Mar, p. 403-411
    • Year: 2007

  16. On the Euler numbers of certain moduli spaces of curves and points
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Communications in Analysis and Geometry. , v. 14, (2), 2006, p. 387-410
    • Year: 2006

  17. Hilbert schemes, integrable hierarchies, and Gromov-Witten theory
    • Author(s): Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
    • Source: International mathematics research notices. , (40), 2004, p. 2085-2104
    • Year: 2004

  18. Ideals of the cohomology rings of Hilbert schemes and their applications
    • Author(s): Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
    • Source: Transactions of the American Mathematical Society. , v. 356, (1), 2004, p. 245-265
    • Year: 2004

  19. Stability of the cohomology rings of Hilbert schemes of points on surfaces
    • Author(s): Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
    • Source: Journal fur die Reine und Angewandte Mathematik. , v. 554, 2003, Jan, p. 217-234
    • Year: 2003

  20. Stable rank-2 bundles on Calabi-Yau manifolds
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: International journal of mathematics. , v. 14, (10), 2003, Dec, p. 1097-1120
    • Year: 2003

  21. Hilbert schemes and W algebras
    • Author(s): Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
    • Source: International mathematics research notices. , (27), 2002, p. 1427-1456
    • Year: 2002

  22. Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
    • Author(s): Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
    • Source: Mathematische Annalen. , v. 324, (1), 2002, Sep, p. 105-133
    • Year: 2002

  23. On blowup formulae for the S-duality conjecture of Vafa and Witten III: relations with vertex operator algebras
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Journal FUR DIE Reine UND ANGEWANDTE MATHEMATIK. , v. 542, 2002, JAN 31, p. 173-217
    • Year: 2002

  24. On 1-point Gromov-Witten invariants of the Hilbert schemes of points on surfaces
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Turkish Journal of Mathematics. , v. 26, (1), p. 53-68
    • Year: 2002

  25. Generators for the cohomology ring of Hilbert schemes of points on surfaces
    • Author(s): Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
    • Source: International mathematics research notices. , v. 2001, (20), p. 1057-1074
    • Year: 2001

  26. On blowup formulae for the S-duality conjecture of Vafa and Witten
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Inventiones mathematicae. , v. 136, (2), 1999, MAY, p. 451-482
    • Year: 1999

  27. On blowup formulae for the S-duality conjecture of Vafa and Witten II: The universal functions
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Mathematical research letters. , v. 5, (4), 1998, JUL, p. 439-453
    • Year: 1998

  28. Vertex operator algebras and the blowup formula for the S-duality conjecture of Vafa and Witten
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Mathematical research letters. , v. 5, (6), 1998, Nov, p. 791-798
    • Year: 1998

  29. Birational models of the moduli spaces of stable vector bundles over curves
    • Author(s): Hu, Yi; Li, Wei Ping
    • Source: International journal of mathematics. , v. 8, (6), 1997, Sep, p. 781-808
    • Year: 1997

  30. Relations between moduli spaces of stable bundles over P-2 and rationality
    • Author(s): Li, Wei Ping
    • Source: Journal fur die Reine und Angewandte Mathematik. , v. 484, 1997, p. 201-217
    • Year: 1997

  31. On Donaldson polynomials of rational ruled surfaces
    • Author(s): Li, Wei Ping
    • Source: Forum mathematicum. , v. 8, (6), 1996, p. 737-759
    • Year: 1996

  32. Extensions of vector bundles and rationality of certain moduli spaces of stable bundles
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Journal FUR DIE Reine UND ANGEWANDTE MATHEMATIK. , v. 475, 1996, p. 209-220
    • Year: 1996

  33. Rank-3 stable bundles on rational ruled surfaces
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Mathematische Zeitschrift. , v. 222, (2), 1996, Jun, p. 279-303
    • Year: 1996

  34. VARIATION OF THE GIESEKER AND UHLENBECK COMPACTIFICATIONS
    • Author(s): Hu, Yi; Li, Wei Ping
    • Source: International journal of mathematics. , v. 6, (3), 1995, JUN, p. 397-418
    • Year: 1995

  35. Stable Vector-Bundles On Algebraic-Surfaces
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Transactions of the American Mathematical Society. , v. 345, (2), 1994, OCT, p. 833-852
    • Year: 1994

  36. Lower-degree Donaldson polynomial invariants of rational surfaces
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Journal of Algebraic Geometry. , Edited by University Press, v. 2, 1993, p. 413-442
    • Year: 1993

  Book

  1. Calculus for Scientists and Engineers
    • Author(s): Hu, Jishan ; Li, Weiping; Wu, Yueping
    • Source: Calculus for Scientists and Engineers / Hu, Jishan, Li, Weiping, Wu, Yueping. Hong Kong: The Hong Kong University of Science & Technology, 2019.
    • Year: 2019

  2. Calculus: Rigor, Concision, Clarity
    • Author(s): Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min
    • Source: Calculus: Rigor, Concision, Clarity. , / Jishan Hu, Jian-Shu Li, Wei-Ping Li, Min Yan. Hong Kong: Hong Kong Mathematical Society, 2010
    • Year: 2010

  Conference paper

  1. A brief introduction to cosection localization and P-fields
    • Author(s): Li, Weiping
    • Source: Contemporary Mathematics, v. 763, 2021, p. 67-88
    • Year: 2021

  2. On the Mathematics and Physics of Mixed Spin P-fields
    • Author(s): Chang, Huai-Liang; Li, Jun; Li, Wei-Ping; Liu, Chiu-Chu Melissa
    • Source: Proceedings of Symposia in Pure Mathematics. , v. 96, 2017, p. 55-81
    • Year: 2017

  3. On A twisted Landau-Ginzburg type theory
    • Author(s): Chang, Huai-Liang; Li, Jun; Li, Wei Ping
    • Source: Scuola Internazionale Superiore di Studi Avanzati(SISSA), Trieste, Italy. , August 2013
    • Year: 2013

  4. Incidence Hilbert schemes and infinite dimensional Lie algebras
    • Author(s): Li, Wei Ping; Qin, Zhenbo
    • Source: Proceedings of the 4th international congress of Chinese Mathematicians. , Vol II, p408-441, Dec. 2007
    • Year: 2007

  5. Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants
    • Author(s): Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
    • Source: Contemporary mathematics - American Mathematical Society. , v. 392, 2005, p. 67-81
    • Year: 2005

  6. The cohomology rings of Hilbert schemes via jack polynomials
    • Author(s): Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
    • Source: CRM Workshop on Algebraic Structures and Moduli Spaces, Montreal, Canada. , 14-20 July 2003, p. 249-258
    • Year: 2003

  7. Curves in the Hilbert schemes of points on surfaces
    • Author(s): Li, Wei Ping; Qin, Zhenbo; Zhang, Qi
    • Source: Contemporary Mathematics. , Vol. 322, pp. 89-96
    • Year: 2003

  Preprint

  1. An Effective Theory of GW and FJRW Invariants of Quintics Calabi-Yau Manifolds
    • Author(s): Chang, Huai-liang ; Li, Jun; Li, Weiping; Liu, Chiu-Chu Melissa
    • Source: arXiv, March 2016, Article number 1603.06184
    • Year: 2016

  2. Mixed-Spin-P fields of Fermat quintic polynomials
    • Author(s): Chang, Huai-Liang; Li, Jun; Li, Wei Ping; Liu, Chiu-Chi Melissa
    • Source: arXiv, Jun 2015, Article number 1505.07532
    • Year: 2015