Faculty Profiles - LI Weiping | The Hong Kong University of Science and Technology

2023 1

A road map to higher genus Gromov-Witten invariants of Calabi-Yau quintics

Acta Scientiarum Natralium Universitatis Sunyatseni=中山大學學報, v. 62, (2), March 2023, p. 1-9
Chang, Huai-liang; Li, Weiping
Article

2022 2

A genus-one FJRW invariant via two methods

Mathematische Zeitschrift, v. 302, (4), December 2022, p. 1927-1955
Li, Jun; Li, Wei-Ping; Shen, Yefeng; Zhou, Jie
Article

An effective theory of GW and FJRW invariants of quintics Calabi-Yau manifolds

Journal of Differential Geometry, v. 120, (2), February 2022, p. 251-306
Chang, Huai-Liang; Li, Jun; Li, Weiping; Liu, Chiu Chu Melissa
Article

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

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

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

MATH2111	Matrix Algebra and Applications
MATH4151	Introduction to Lie Groups
SCIE4500	IRE Research Project II

MATH5261	Algebraic Geometry II
MATH6911Y	Reading Course: Toric Geometry

MATH4223	Differential Geometry
MATH5251	Algebraic Geometry I

Research Interest

Publications

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