Weiping LI
李衛平
PhD in Mathematics
Columbia University, 1991

Chair Professor
Department of Mathematics

Senior Fellow
HKUST Jockey Club Institute for Advanced Study



(852) 2358 7432
mawpli@ust.hk
Room 3427
Personal Web

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ORCID
0000-0003-2589-8059

Scopus ID
55718746400




Research Interest Publications Projects Teaching Assignment RPG Supervision Space used




Research Interest

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Algebraic geometry



Publications

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All Years 45 2022 0 2021 2 2020 0 2019 2 2018 1 2017 2 2016 38

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2021 2

The theory of n –mixed-spin-p fields
Geometry and Topology, v. 25, (2), April 2021, p. 775-811
Chang, Huai-liang; Guo, Shuai; Li, Jun; Li, Weiping Article
A brief introduction to cosection localization and P-fields
Contemporary Mathematics, v. 763, 2021, p. 67-88
Li, Weiping Conference paper

2019 2

Mixed-Spin-P fields of Fermat polynomials
Cambridge Journal of Mathematics, v. 7, (3), September 2019, p. 319-364
Chang, Huai-liang; Li, Jun; Li, Weiping; LiU, Melissa Chiu-Chu Article
Calculus for Scientists and Engineers
Calculus for Scientists and Engineers / Hu, Jishan, Li, Weiping, Wu, Yueping. Hong Kong: The Hong Kong University of Science & Technology, 2019.
Hu, Jishan; Li, Weiping; Wu, Yueping Book

2018 1

Genus-One Gromov–Witten Invariants of Quintic Three-folds via MSP Localization
International Mathematics Research Notices, v. 2020, (19), 2020, article number rny201, p. 6347-6390
Chang, Huai-Liang; Guo, Shuai; Li, Wei Ping; Zhou, Jie Article

2017 2

A Survey on Mixed Spin P-fields
Chinese Annals of Mathematics. Series B, v. 38, (4), 2017, p. 869-882
Chang, Huai-Liang; Li, Jun; Li, Wei-Ping; Liu, Chiu Chu Melissa Article
On the Mathematics and Physics of Mixed Spin P-fields
Proceedings of Symposia in Pure Mathematics, v. 96, 2017, p. 47-73
Chang, Huai-Liang; Li, Jun; Li, Wei-Ping; Liu, Chiu-Chu Melissa Conference paper

2016 1

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

2015 2

The Gromov-Witten invariants of the Hilbert schemes of points on surfaces with p(g) > 0
International Journal of Mathematics, v. 26, (1), January 2015, article number 1550009
Hu, Jianxun; Li, Wei Ping; Qin, Zhenbo Article
Witten’s top Chern class via cosection localization
Inventiones Mathematicae, v. 200, (3), June 2015, p. 1015-1063
Chang, Huai-Liang; Li, Jun; Li, Wei Ping Article

2013 2

Donaldson-Thomas invariants of certain Calabi-Yau 3-folds
Communications in Analysis and Geometry, v. 21, (3), 2013, p. 541-578
Li, Wei Ping; Qin, Zhenbo Article
On A twisted Landau-Ginzburg Type Theory
Scuola Internazionale Superiore di Studi Avanzati(SISSA), Trieste, Italy, August 2013
Chang, Huai-Liang; Li, Jun; Li, Wei Ping Conference paper

2012 1

The Donaldson-Thomas invariants under blowups and flops
Journal of Differential Geometry, v. 90, (3), 2012, p. 391-411
Hu, Jianxun; Li, Wei Ping Article

2011 3

1-point Gromov-Witten invariants of the moduli spaces of sheaves over the projective plane
Transactions of the American Mathematical Society, v. 363, (5), May 2011, p. 2551-2569
Li, Wei Ping; Qin, Zhenbo Article
Polynomial Bridgeland stability conditions for the derived category of sheaves on surfaces
Communications in Analysis and Geometry, v. 19, (1), January 2011, p. 31-52
Li, Wei Ping; Qin, Zhenbo Article
Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces
Mathematische Annalen, v. 349, (4), April 2011, p. 839-869
Li, Jun; Li, Wei Ping Article

2010 2

Equivariant cohomology of incidence Hilbert schemes and infinite dimensional Lie algebras
Manuscripta mathematica, v. 133, (3-4), November 2010, p. 519-544
Li, Wei Ping; Qin, Zhenbo Article
Calculus: Rigor, Concision, Clarity
Calculus: Rigor, Concision, Clarity / Jishan Hu, Jian-Shu Li, Wei-Ping Li, Min Yan. Hong Kong: Hong Kong Mathematical Society, 2010
Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min Book

2008 1

Integral cohomology of Hilbert schemes of points on surfaces
Communications in analysis and geometry, v. 16, (5), December 2008, p. 969-988
Li, Wei Ping; Qin, Zhenbo Article

2007 2

On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants
Mathematical research letters, v. 14, (3), March 2007, p. 403-411
Katz, Sheldon; Li, Wei Ping; Qin, Zhenbo Article
Incidence Hilbert schemes and infinite dimensional Lie algebras
Proceedings of the 4th international congress of Chinese Mathematicians, v. 2, December 2007, p. 408-411, Series: AMS/IP Studies in Advanced Mathematics / Edited by S.T. Ya; v.48.
Li, Wei Ping; Qin, Zhenbo Conference paper

2006 1

On the Euler numbers of certain moduli spaces of curves and points
Communications in Analysis and Geometry, v. 14, (2), March 2006, p. 387-410
Li, Wei Ping; Qin, Zhenbo Article

2005 1

Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants
Contemporary mathematics - American Mathematical Society, v. 392, 2005, p. 67-81
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Conference paper

2004 2

Hilbert schemes, integrable hierarchies, and Gromov-Witten theory
International mathematics research notices, (40), 2004, p. 2085-2104
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Article
Ideals of the cohomology rings of Hilbert schemes and their applications
Transactions of the American Mathematical Society, v. 356, (1), 2004, p. 245-265
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Article

2003 4

Stability of the cohomology rings of Hilbert schemes of points on surfaces
Journal fur die Reine und Angewandte Mathematik, v. 554, 2003, Jan, p. 217-234
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Article
Stable rank-2 bundles on Calabi-Yau manifolds
International journal of mathematics, v. 14, (10), 2003, Dec, p. 1097-1120
Li, Wei Ping; Qin, Zhenbo Article
Curves in the Hilbert schemes of points on surfaces
Contemporary Mathematics, Vol. 322, pp. 89-96
Li, Wei Ping; Qin, Zhenbo; Zhang, Qi Conference paper
The cohomology rings of Hilbert schemes via jack polynomials
CRM Workshop on Algebraic Structures and Moduli Spaces, Montreal, Canada, 14-20 July 2003, p. 249-258
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Conference paper

2002 4

Hilbert schemes and W algebras
International mathematics research notices, (27), 2002, p. 1427-1456
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Article
On 1-point Gromov-Witten invariants of the Hilbert schemes of points on surfaces
Turkish Journal of Mathematics, v. 26, (1), p. 53-68
Li, Wei Ping; Qin, Zhenbo Article
On blowup formulae for the S-duality conjecture of Vafa and Witten III: relations with vertex operator algebras
Journal FUR DIE Reine UND ANGEWANDTE MATHEMATIK, v. 542, 2002, JAN 31, p. 173-217
Li, Wei Ping; Qin, Zhenbo Article
Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
Mathematische Annalen, v. 324, (1), 2002, Sep, p. 105-133
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Article

2001 1

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

1999 1

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

1998 2

On blowup formulae for the S-duality conjecture of Vafa and Witten II: The universal functions
Mathematical research letters, v. 5, (4), 1998, JUL, p. 439-453
Li, Wei Ping; Qin, Zhenbo Article
Vertex operator algebras and the blowup formula for the S-duality conjecture of Vafa and Witten
Mathematical research letters, v. 5, (6), 1998, Nov, p. 791-798
Li, Wei Ping; Qin, Zhenbo Article

1997 2

Birational models of the moduli spaces of stable vector bundles over curves
International journal of mathematics, v. 8, (6), 1997, Sep, p. 781-808
Hu, Yi; Li, Wei Ping Article
Relations between moduli spaces of stable bundles over P-2 and rationality
Journal fur die Reine und Angewandte Mathematik, v. 484, 1997, p. 201-217
Li, Wei Ping Article

1996 3

Extensions of vector bundles and rationality of certain moduli spaces of stable bundles
Journal FUR DIE Reine UND ANGEWANDTE MATHEMATIK, v. 475, 1996, p. 209-220
Li, Wei Ping; Qin, Zhenbo Article
On Donaldson polynomials of rational ruled surfaces
Forum mathematicum, v. 8, (6), 1996, p. 737-759
Li, Wei Ping Article
Rank-3 stable bundles on rational ruled surfaces
Mathematische Zeitschrift, v. 222, (2), 1996, Jun, p. 279-303
Li, Wei Ping; Qin, Zhenbo Article

1995 1

VARIATION OF THE GIESEKER AND UHLENBECK COMPACTIFICATIONS
International journal of mathematics, v. 6, (3), 1995, JUN, p. 397-418
Hu, Yi; Li, Wei Ping Article

1994 1

Stable Vector-Bundles On Algebraic-Surfaces
Transactions of the American Mathematical Society, v. 345, (2), 1994, OCT, p. 833-852
Li, Wei Ping; Qin, Zhenbo Article

1993 1

Lower-degree Donaldson polynomial invariants of rational surfaces
Journal of Algebraic Geometry, Edited by University Press, v. 2, 1993, p. 413-442
Li, Wei Ping; Qin, Zhenbo Article


Expand All Collapse All


Article 1

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

Conference paper 1

A brief introduction to cosection localization and P-fields
Contemporary Mathematics, v. 763, 2021, p. 67-88
Li, Weiping


Expand All Collapse All


Article 1

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

Book 1

Calculus for Scientists and Engineers
Calculus for Scientists and Engineers / Hu, Jishan, Li, Weiping, Wu, Yueping. Hong Kong: The Hong Kong University of Science & Technology, 2019.
Hu, Jishan; Li, Weiping; Wu, Yueping


Expand All Collapse All


Article 1

Genus-One Gromov–Witten Invariants of Quintic Three-folds via MSP Localization
International Mathematics Research Notices, v. 2020, (19), 2020, article number rny201, p. 6347-6390
Chang, Huai-Liang; Guo, Shuai; Li, Wei Ping; Zhou, Jie


Expand All Collapse All


Article 1

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

Conference paper 1

On the Mathematics and Physics of Mixed Spin P-fields
Proceedings of Symposia in Pure Mathematics, v. 96, 2017, p. 47-73
Chang, Huai-Liang; Li, Jun; Li, Wei-Ping; Liu, Chiu-Chu Melissa


Expand All Collapse All


Article 1

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


Expand All Collapse All


Article 2

The Gromov-Witten invariants of the Hilbert schemes of points on surfaces with p(g) > 0
International Journal of Mathematics, v. 26, (1), January 2015, article number 1550009
Hu, Jianxun; Li, Wei Ping; Qin, Zhenbo
Witten’s top Chern class via cosection localization
Inventiones Mathematicae, v. 200, (3), June 2015, p. 1015-1063
Chang, Huai-Liang; Li, Jun; Li, Wei Ping


Expand All Collapse All


Article 1

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

Conference paper 1

On A twisted Landau-Ginzburg Type Theory
Scuola Internazionale Superiore di Studi Avanzati(SISSA), Trieste, Italy, August 2013
Chang, Huai-Liang; Li, Jun; Li, Wei Ping


Expand All Collapse All


Article 1

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


Expand All Collapse All


Article 3

1-point Gromov-Witten invariants of the moduli spaces of sheaves over the projective plane
Transactions of the American Mathematical Society, v. 363, (5), May 2011, p. 2551-2569
Li, Wei Ping; Qin, Zhenbo
Polynomial Bridgeland stability conditions for the derived category of sheaves on surfaces
Communications in Analysis and Geometry, v. 19, (1), January 2011, p. 31-52
Li, Wei Ping; Qin, Zhenbo
Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces
Mathematische Annalen, v. 349, (4), April 2011, p. 839-869
Li, Jun; Li, Wei Ping


Expand All Collapse All


Article 1

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

Book 1

Calculus: Rigor, Concision, Clarity
Calculus: Rigor, Concision, Clarity / Jishan Hu, Jian-Shu Li, Wei-Ping Li, Min Yan. Hong Kong: Hong Kong Mathematical Society, 2010
Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min


Expand All Collapse All


Article 1

Integral cohomology of Hilbert schemes of points on surfaces
Communications in analysis and geometry, v. 16, (5), December 2008, p. 969-988
Li, Wei Ping; Qin, Zhenbo


Expand All Collapse All


Article 1

On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants
Mathematical research letters, v. 14, (3), March 2007, p. 403-411
Katz, Sheldon; Li, Wei Ping; Qin, Zhenbo

Conference paper 1

Incidence Hilbert schemes and infinite dimensional Lie algebras
Proceedings of the 4th international congress of Chinese Mathematicians, v. 2, December 2007, p. 408-411, Series: AMS/IP Studies in Advanced Mathematics / Edited by S.T. Ya; v.48.
Li, Wei Ping; Qin, Zhenbo


Expand All Collapse All


Article 1

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


Expand All Collapse All


Conference paper 1

Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants
Contemporary mathematics - American Mathematical Society, v. 392, 2005, p. 67-81
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang


Expand All Collapse All


Article 2

Hilbert schemes, integrable hierarchies, and Gromov-Witten theory
International mathematics research notices, (40), 2004, p. 2085-2104
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
Ideals of the cohomology rings of Hilbert schemes and their applications
Transactions of the American Mathematical Society, v. 356, (1), 2004, p. 245-265
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang


Expand All Collapse All


Article 2

Stability of the cohomology rings of Hilbert schemes of points on surfaces
Journal fur die Reine und Angewandte Mathematik, v. 554, 2003, Jan, p. 217-234
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
Stable rank-2 bundles on Calabi-Yau manifolds
International journal of mathematics, v. 14, (10), 2003, Dec, p. 1097-1120
Li, Wei Ping; Qin, Zhenbo

Conference paper 2

Curves in the Hilbert schemes of points on surfaces
Contemporary Mathematics, Vol. 322, pp. 89-96
Li, Wei Ping; Qin, Zhenbo; Zhang, Qi
The cohomology rings of Hilbert schemes via jack polynomials
CRM Workshop on Algebraic Structures and Moduli Spaces, Montreal, Canada, 14-20 July 2003, p. 249-258
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang


Expand All Collapse All


Article 4

Hilbert schemes and W algebras
International mathematics research notices, (27), 2002, p. 1427-1456
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang
On 1-point Gromov-Witten invariants of the Hilbert schemes of points on surfaces
Turkish Journal of Mathematics, v. 26, (1), p. 53-68
Li, Wei Ping; Qin, Zhenbo
On blowup formulae for the S-duality conjecture of Vafa and Witten III: relations with vertex operator algebras
Journal FUR DIE Reine UND ANGEWANDTE MATHEMATIK, v. 542, 2002, JAN 31, p. 173-217
Li, Wei Ping; Qin, Zhenbo
Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
Mathematische Annalen, v. 324, (1), 2002, Sep, p. 105-133
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang


Expand All Collapse All


Article 1

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


Expand All Collapse All


Article 1

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


Expand All Collapse All


Article 2

On blowup formulae for the S-duality conjecture of Vafa and Witten II: The universal functions
Mathematical research letters, v. 5, (4), 1998, JUL, p. 439-453
Li, Wei Ping; Qin, Zhenbo
Vertex operator algebras and the blowup formula for the S-duality conjecture of Vafa and Witten
Mathematical research letters, v. 5, (6), 1998, Nov, p. 791-798
Li, Wei Ping; Qin, Zhenbo


Expand All Collapse All


Article 2

Birational models of the moduli spaces of stable vector bundles over curves
International journal of mathematics, v. 8, (6), 1997, Sep, p. 781-808
Hu, Yi; Li, Wei Ping
Relations between moduli spaces of stable bundles over P-2 and rationality
Journal fur die Reine und Angewandte Mathematik, v. 484, 1997, p. 201-217
Li, Wei Ping


Expand All Collapse All


Article 3

Extensions of vector bundles and rationality of certain moduli spaces of stable bundles
Journal FUR DIE Reine UND ANGEWANDTE MATHEMATIK, v. 475, 1996, p. 209-220
Li, Wei Ping; Qin, Zhenbo
On Donaldson polynomials of rational ruled surfaces
Forum mathematicum, v. 8, (6), 1996, p. 737-759
Li, Wei Ping
Rank-3 stable bundles on rational ruled surfaces
Mathematische Zeitschrift, v. 222, (2), 1996, Jun, p. 279-303
Li, Wei Ping; Qin, Zhenbo


Expand All Collapse All


Article 1

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


Expand All Collapse All


Article 1

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


Expand All Collapse All


Article 1

Lower-degree Donaldson polynomial invariants of rational surfaces
Journal of Algebraic Geometry, Edited by University Press, v. 2, 1993, p. 413-442
Li, Wei Ping; Qin, Zhenbo


Expand All Collapse All


2016 1

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

2015 2

The Gromov-Witten invariants of the Hilbert schemes of points on surfaces with p(g) > 0
International Journal of Mathematics, v. 26, (1), January 2015, article number 1550009
Hu, Jianxun; Li, Wei Ping; Qin, Zhenbo Article
Witten’s top Chern class via cosection localization
Inventiones Mathematicae, v. 200, (3), June 2015, p. 1015-1063
Chang, Huai-Liang; Li, Jun; Li, Wei Ping Article

2013 2

Donaldson-Thomas invariants of certain Calabi-Yau 3-folds
Communications in Analysis and Geometry, v. 21, (3), 2013, p. 541-578
Li, Wei Ping; Qin, Zhenbo Article
On A twisted Landau-Ginzburg Type Theory
Scuola Internazionale Superiore di Studi Avanzati(SISSA), Trieste, Italy, August 2013
Chang, Huai-Liang; Li, Jun; Li, Wei Ping Conference paper

2012 1

The Donaldson-Thomas invariants under blowups and flops
Journal of Differential Geometry, v. 90, (3), 2012, p. 391-411
Hu, Jianxun; Li, Wei Ping Article

2011 3

1-point Gromov-Witten invariants of the moduli spaces of sheaves over the projective plane
Transactions of the American Mathematical Society, v. 363, (5), May 2011, p. 2551-2569
Li, Wei Ping; Qin, Zhenbo Article
Polynomial Bridgeland stability conditions for the derived category of sheaves on surfaces
Communications in Analysis and Geometry, v. 19, (1), January 2011, p. 31-52
Li, Wei Ping; Qin, Zhenbo Article
Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces
Mathematische Annalen, v. 349, (4), April 2011, p. 839-869
Li, Jun; Li, Wei Ping Article

2010 2

Equivariant cohomology of incidence Hilbert schemes and infinite dimensional Lie algebras
Manuscripta mathematica, v. 133, (3-4), November 2010, p. 519-544
Li, Wei Ping; Qin, Zhenbo Article
Calculus: Rigor, Concision, Clarity
Calculus: Rigor, Concision, Clarity / Jishan Hu, Jian-Shu Li, Wei-Ping Li, Min Yan. Hong Kong: Hong Kong Mathematical Society, 2010
Hu, Ji Shan; Li, Jian-Shu; Li, Wei Ping; Yan, Min Book

2008 1

Integral cohomology of Hilbert schemes of points on surfaces
Communications in analysis and geometry, v. 16, (5), December 2008, p. 969-988
Li, Wei Ping; Qin, Zhenbo Article

2007 2

On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants
Mathematical research letters, v. 14, (3), March 2007, p. 403-411
Katz, Sheldon; Li, Wei Ping; Qin, Zhenbo Article
Incidence Hilbert schemes and infinite dimensional Lie algebras
Proceedings of the 4th international congress of Chinese Mathematicians, v. 2, December 2007, p. 408-411, Series: AMS/IP Studies in Advanced Mathematics / Edited by S.T. Ya; v.48.
Li, Wei Ping; Qin, Zhenbo Conference paper

2006 1

On the Euler numbers of certain moduli spaces of curves and points
Communications in Analysis and Geometry, v. 14, (2), March 2006, p. 387-410
Li, Wei Ping; Qin, Zhenbo Article

2005 1

Hilbert scheme intersection numbers, Hurwitz numbers, and Gromov-Witten invariants
Contemporary mathematics - American Mathematical Society, v. 392, 2005, p. 67-81
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Conference paper

2004 2

Hilbert schemes, integrable hierarchies, and Gromov-Witten theory
International mathematics research notices, (40), 2004, p. 2085-2104
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Article
Ideals of the cohomology rings of Hilbert schemes and their applications
Transactions of the American Mathematical Society, v. 356, (1), 2004, p. 245-265
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Article

2003 4

Stability of the cohomology rings of Hilbert schemes of points on surfaces
Journal fur die Reine und Angewandte Mathematik, v. 554, 2003, Jan, p. 217-234
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Article
Stable rank-2 bundles on Calabi-Yau manifolds
International journal of mathematics, v. 14, (10), 2003, Dec, p. 1097-1120
Li, Wei Ping; Qin, Zhenbo Article
Curves in the Hilbert schemes of points on surfaces
Contemporary Mathematics, Vol. 322, pp. 89-96
Li, Wei Ping; Qin, Zhenbo; Zhang, Qi Conference paper
The cohomology rings of Hilbert schemes via jack polynomials
CRM Workshop on Algebraic Structures and Moduli Spaces, Montreal, Canada, 14-20 July 2003, p. 249-258
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Conference paper

2002 4

Hilbert schemes and W algebras
International mathematics research notices, (27), 2002, p. 1427-1456
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Article
On 1-point Gromov-Witten invariants of the Hilbert schemes of points on surfaces
Turkish Journal of Mathematics, v. 26, (1), p. 53-68
Li, Wei Ping; Qin, Zhenbo Article
On blowup formulae for the S-duality conjecture of Vafa and Witten III: relations with vertex operator algebras
Journal FUR DIE Reine UND ANGEWANDTE MATHEMATIK, v. 542, 2002, JAN 31, p. 173-217
Li, Wei Ping; Qin, Zhenbo Article
Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
Mathematische Annalen, v. 324, (1), 2002, Sep, p. 105-133
Li, Wei Ping; Qin, Zhenbo; Wang, Weiqiang Article

2001 1

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

1999 1

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

1998 2

On blowup formulae for the S-duality conjecture of Vafa and Witten II: The universal functions
Mathematical research letters, v. 5, (4), 1998, JUL, p. 439-453
Li, Wei Ping; Qin, Zhenbo Article
Vertex operator algebras and the blowup formula for the S-duality conjecture of Vafa and Witten
Mathematical research letters, v. 5, (6), 1998, Nov, p. 791-798
Li, Wei Ping; Qin, Zhenbo Article

1997 2

Birational models of the moduli spaces of stable vector bundles over curves
International journal of mathematics, v. 8, (6), 1997, Sep, p. 781-808
Hu, Yi; Li, Wei Ping Article
Relations between moduli spaces of stable bundles over P-2 and rationality
Journal fur die Reine und Angewandte Mathematik, v. 484, 1997, p. 201-217
Li, Wei Ping Article

1996 3

Extensions of vector bundles and rationality of certain moduli spaces of stable bundles
Journal FUR DIE Reine UND ANGEWANDTE MATHEMATIK, v. 475, 1996, p. 209-220
Li, Wei Ping; Qin, Zhenbo Article
On Donaldson polynomials of rational ruled surfaces
Forum mathematicum, v. 8, (6), 1996, p. 737-759
Li, Wei Ping Article
Rank-3 stable bundles on rational ruled surfaces
Mathematische Zeitschrift, v. 222, (2), 1996, Jun, p. 279-303
Li, Wei Ping; Qin, Zhenbo Article

1995 1

VARIATION OF THE GIESEKER AND UHLENBECK COMPACTIFICATIONS
International journal of mathematics, v. 6, (3), 1995, JUN, p. 397-418
Hu, Yi; Li, Wei Ping Article

1994 1

Stable Vector-Bundles On Algebraic-Surfaces
Transactions of the American Mathematical Society, v. 345, (2), 1994, OCT, p. 833-852
Li, Wei Ping; Qin, Zhenbo Article

1993 1

Lower-degree Donaldson polynomial invariants of rational surfaces
Journal of Algebraic Geometry, Edited by University Press, v. 2, 1993, p. 413-442
Li, Wei Ping; Qin, Zhenbo Article


No Publications


No Publications






Teaching Assignment

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2021-22 Winter 0 2021-22 Fall 4 2020-21 Summer 0 2020-21 Spring 2 2020-21 Winter 0 2020-21 Fall 4

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MATH1013 Calculus IB
MATH4985A Independent Study: Commutative Algebra
MATH5251 Algebraic Geometry I
MATH6913Q Reading Course: Lie Algebras and Hilbert Schemes


MATH4991 Capstone Project in Pure Mathematics
MATH5261 Algebraic Geometry II


MATH1013 Calculus IB
MATH5251 Algebraic Geometry I
MATH6913E Reading Course: Toric Geometry
SCIE4500 IRE Research Project II


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 01 February 2022)

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Current RPGs

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Doctor of Philosophy WANG, Zi
Mathematics( 2021 - )

SHI, Zhongyi
Mathematics( 2020 - )

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Master of Philosophy SIT, Hiu Chi
Mathematics( 2021 - )

TANG, Tianchen
Mathematics( 2020 - )









ProjectsFrom January 2020 to December 2022

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All Projects 2

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No Projects.
Gromov-Witten Invariants for Hypersurfaces in Products of Projective Spaces


射影空間的乘積中的超曲面的Gromov-Witten不變數 Leading


RGC - General Research Fund


Project Team (HKUST)
LI Weiping (Lead)


2020 -




The mixed-spin P-field theory of stable quotients


穩定商的混合帶旋P場的理論 Leading


RGC - General Research Fund


Project Team (HKUST)
LI Weiping (Lead)
CHANG Huai-Liang


2018 -