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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
 MATH2111 Matrix Algebra and Applications
 MATH4151 Introduction to Lie Groups
Awards & Honors

Professor LI Weiping was awarded State Natural Science Award (2nd Class)
(2024)

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
 Year: 2019

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