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Chair Professor
Biography
Prof. Li received a Bachelor's Degree at Nankai 19801984, a Master's Degree at Columbia University 19851986, and a Doctor's Degree at Columbia University 19861991, respectively. He had postdoctoral appointment at Oklahoma State University 19911992. 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 geometryTeaching
 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

A road map to higher genus GromovWitten invariants of CalabiYau quintics
 Author(s): Chang, Huailiang; Li, Weiping
 Source: Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni, v. 62, (2), March 2023, p. 19
 Year: 2023

A genusone FJRW invariant via two methods
 Author(s): Li, Jun; Li, WeiPing; Shen, Yefeng; Zhou, Jie
 Source: Mathematische Zeitschrift, v. 302, (4), December 2022, p. 19271955
 Year: 2022

An effective theory of GW and FJRW invariants of quintics CalabiYau manifolds
 Author(s): Chang, HuaiLiang; Li, Jun; Li, Weiping; Liu, Chiu Chu Melissa
 Source: Journal of Differential Geometry, v. 120, (2), February 2022, p. 251306
 Year: 2022

The theory of n –mixedspinp fields
 Author(s): Chang, Huailiang; Guo, Shuai; Li, Jun; Li, Weiping
 Source: Geometry and Topology, v. 25, (2), April 2021, p. 775811
 Year: 2021

MixedSpinP fields of Fermat polynomials
 Author(s): Chang, Huailiang; Li, Jun; Li, Weiping; LiU, Melissa ChiuChu
 Source: Cambridge Journal of Mathematics, v. 7, (3), September 2019, p. 319364
 Year: 2019

GenusOne Gromov–Witten Invariants of Quintic Threefolds via MSP Localization
 Author(s): Chang, HuaiLiang; Guo, Shuai; Li, Wei Ping; Zhou, Jie
 Source: International Mathematics Research Notices, v. 2020, (19), 2020, article number rny201, p. 63476390
 Year: 2018

A Survey on Mixed Spin Pfields
 Author(s): Chang, HuaiLiang; Li, Jun; Li, WeiPing; Liu, Chiu Chu Melissa
 Source: Chinese Annals of Mathematics. Series B, v. 38, (4), 2017, p. 869882
 Year: 2017

The Cohomological Crepant Resolution Conjecture for the HilbertChow Morphisms
 Author(s): Li, WeiPing; Qin, Zhenbo
 Source: Journal of Differential Geometry, v. 104, (3), November 2016, p. 499557
 Year: 2016

The GromovWitten 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

Witten’s top Chern class via cosection localization
 Author(s): Chang, HuaiLiang; Li, Jun; Li, Wei Ping
 Source: Inventiones Mathematicae, v. 200, (3), June 2015, p. 10151063
 Year: 2015

DonaldsonThomas invariants of certain CalabiYau 3folds
 Author(s): Li, Wei Ping; Qin, Zhenbo
 Source: Communications in Analysis and Geometry, v. 21, (3), 2013, p. 541578
 Year: 2013

The DonaldsonThomas invariants under blowups and flops
 Author(s): Hu, Jianxun; Li, Wei Ping
 Source: Journal of Differential Geometry, v. 90, (3), 2012, p. 391411
 Year: 2012

Two point extremal GromovWitten invariants of Hilbert schemes of points on surfaces
 Author(s): Li, Jun; Li, Wei Ping
 Source: Mathematische Annalen, v. 349, (4), April 2011, p. 839869
 Year: 2011

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. 3152
 Year: 2011

1point GromovWitten 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. 25512569
 Year: 2011

Equivariant cohomology of incidence Hilbert schemes and infinite dimensional Lie algebras
 Author(s): Li, Wei Ping; Qin, Zhenbo
 Source: Manuscripta mathematica, v. 133, (34), November 2010, p. 519544
 Year: 2010

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), December 2008, p. 969988
 Year: 2008

On certain moduli spaces of ideal sheaves and DonaldsonThomas invariants
 Author(s): Katz, Sheldon; Li, Wei Ping; Qin, Zhenbo
 Source: Mathematical research letters, v. 14, (3), March 2007, p. 403411
 Year: 2007

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), March 2006, p. 387410
 Year: 2006

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. 245265
 Year: 2004

Hilbert schemes, integrable hierarchies, and GromovWitten theory
 Author(s): Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
 Source: International mathematics research notices, (40), 2004, p. 20852104
 Year: 2004

Stable rank2 bundles on CalabiYau manifolds
 Author(s): Li, Wei Ping; Qin, Zhenbo
 Source: International journal of mathematics, v. 14, (10), 2003, Dec, p. 10971120
 Year: 2003

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. 217234
 Year: 2003

On 1point GromovWitten 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. 5368
 Year: 2002

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. 105133
 Year: 2002

On blowup formulae for the Sduality 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. 173217
 Year: 2002

Hilbert schemes and W algebras
 Author(s): Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
 Source: International mathematics research notices, (27), 2002, p. 14271456
 Year: 2002

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. 10571074
 Year: 2001

On blowup formulae for the Sduality conjecture of Vafa and Witten
 Author(s): Li, Wei Ping; Qin, Zhenbo
 Source: Inventiones mathematicae, v. 136, (2), 1999, MAY, p. 451482
 Year: 1999

Vertex operator algebras and the blowup formula for the Sduality conjecture of Vafa and Witten
 Author(s): Li, Wei Ping; Qin, Zhenbo
 Source: Mathematical research letters, v. 5, (6), 1998, Nov, p. 791798
 Year: 1998

On blowup formulae for the Sduality 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. 439453
 Year: 1998

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. 781808
 Year: 1997

Relations between moduli spaces of stable bundles over P2 and rationality
 Author(s): Li, Wei Ping
 Source: Journal fur die Reine und Angewandte Mathematik, v. 484, 1997, p. 201217
 Year: 1997

Rank3 stable bundles on rational ruled surfaces
 Author(s): Li, Wei Ping; Qin, Zhenbo
 Source: Mathematische Zeitschrift, v. 222, (2), 1996, Jun, p. 279303
 Year: 1996

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. 209220
 Year: 1996

On Donaldson polynomials of rational ruled surfaces
 Author(s): Li, Wei Ping
 Source: Forum mathematicum, v. 8, (6), 1996, p. 737759
 Year: 1996

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. 397418
 Year: 1995

Stable VectorBundles On AlgebraicSurfaces
 Author(s): Li, Wei Ping; Qin, Zhenbo
 Source: Transactions of the American Mathematical Society, v. 345, (2), 1994, OCT, p. 833852
 Year: 1994

Lowerdegree 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. 413442
 Year: 1993
Book

Calculus for Scientists and Engineers
 Author(s): Hu, Jishan; Li, Weiping; Wu, Yueping
 Source:
 Year: 2019

Calculus: Rigor, Concision, Clarity
 Author(s): Hu, Ji Shan; Li, JianShu; Li, Wei Ping; Yan, Min
 Source:
 Year: 2010
Conference paper

A brief introduction to cosection localization and Pfields
 Author(s): Li, Weiping
 Source: Contemporary Mathematics, v. 763, 2021, p. 6788
 Year: 2021

On the Mathematics and Physics of Mixed Spin Pfields
 Author(s): Chang, HuaiLiang; Li, Jun; Li, WeiPing; Liu, ChiuChu Melissa
 Source: Proceedings of Symposia in Pure Mathematics, v. 96, 2017, p. 4773
 Year: 2017

On A twisted LandauGinzburg Type Theory
 Author(s): Chang, HuaiLiang; Li, Jun; Li, Wei Ping
 Source: Scuola Internazionale Superiore di Studi Avanzati(SISSA), Trieste, Italy, August 2013
 Year: 2013

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, v. 2, December 2007, p. 408411, Series: AMS/IP Studies in Advanced Mathematics / Edited by S.T. Ya; v.48.
 Year: 2007

Hilbert scheme intersection numbers, Hurwitz numbers, and GromovWitten invariants
 Author(s): Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
 Source: Contemporary mathematics  American Mathematical Society, v. 392, 2005, p. 6781
 Year: 2005

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, 1420 July 2003, p. 249258
 Year: 2003

Curves in the Hilbert schemes of points on surfaces
 Author(s): Li, Wei Ping; Qin, Zhenbo; Zhang, Qi
 Source: Contemporary Mathematics, Vol. 322, pp. 8996
 Year: 2003