Professor

Biography

Prof. Chang received a Doctor’s Degree at Stanford University 2002-2007. He had postdoctoral appointment at SISSA (Scuola Internazionale Superiore di Studi Avanzati) in Italy 2007-2009. Prof. Chang joined HKUST in July 2009. His works were mainly on problems in algebraic geometry and complex geometry that come from string theory.

Research Interests

Algebraic Geometry and String Theory

Teaching

• MATH2121  Linear Algebra

Selected Publications

  Article

1. Polynomial structure of Gromov-Witten potential of quintic 3-folds
   • Author(s): Chang, Huai-liang; Guo, Shuai; Li, Jun
   • Source: Annals Of Mathematics, v. 194, (3), November 2021, p. 585-645
   • Year: 2021


2. 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


3. Invariants of stable quasimaps with fields
   • Author(s): Chang, Huai-Liang +CSE; Li, Mun Lin
   • Source: Transactions of The American Mathematical Society, v. 373, (5), May2020, p. 3669-3691
   • Year: 2020


4. A Vanishing Associated with Irregular MSP Fields
   • Author(s): Chang, Huai-liang; Li, Jun
   • Source: International Mathematics Research Notices, v. 2020, (20), October 2020, p. 7347-7396
   • Year: 2020


5. Virtual Residue and an Integral Formalism
   • Author(s): Chang, Huailiang ; Li, Mulin
   • Source: Journal of Geometric Analysis, v. 29, (1), January 2019, p. 83-104
   • Year: 2019


6. 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


7. 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


8. 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


9. Torus Localization and Wall Crossing for Cosection Localized Virtual Cycles
   • Author(s): Chang, Huai-Liang; Kiem, Young Hoon; Li, Jun
   • Source: Advances in Mathematics. , v. 308, February 2017, p. 964-986
   • Year: 2017


10. 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


11. An algebraic proof of the hyperplane property of the genus one GW-invariants of quintics
    • Author(s): Chang, Huai-Liang; Li, Jun
    • Source: Journal of Differential Geometry. , v. 100, (2), June 2015, p. 251-299
    • Year: 2015


12. A Vanishing Result for Donaldson Thomas Invariants of P-1 Scroll
    • Author(s): Chang, Huai-Liang
    • Source: Acta Mathematica Sinica, English Series. , v. 30, (12), December 2014, p. 2079-2084
    • Year: 2014


13. Poincaré invariants are Seiberg–Witten invariants
    • Author(s): Chang, Huai-Liang; Kiem, Young-Hoon
    • Source: Geometry & Topology. , v. 17, (2), 2013, p. 1149-1163
    • Year: 2013


14. Gromov-Witten Invariants of Stable Maps with Fields
    • Author(s): Chang, Huai-Liang; Li, Jun
    • Source: International Mathematics Research Notices. , v. 2012, (18), January 2012, p. 4163-4217
    • Year: 2012


15. Semi-perfect obstruction theory and Donaldson–Thomas invariants of derived objects
    • Author(s): Chang, Huai-Liang; Li, Jun
    • Source: Communications in Analysis and Geometry. , v. 19, (4), 2011, p. 807-830
    • Year: 2011


16. Characterization of maps having the KKM property
    • Author(s): Jeng, Jyh-Chung; Huang, Young-Ye; Chang, Huai-Liang
    • Source: SOOCHOW JOURNAL OF MATHEMATICS. , v. 28, (3), July 2002, p. 329-338
    • Year: 2002

  Conference paper

1. 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


2. MSP fields and Gromov Witten invariants of Quintic Calabi Yau threefold
   • Author(s): Chang, Huai-liang
   • Year: 2015


3. Landau Ginzburg type theories from algebraic geometry
   • Author(s): Chang, Huai-Liang
   • Year: 2014


4. Physics motivation and a fast Introduction to theories of P fields and Spin-curves
   • Author(s): Chang, Huai-Liang
   • Year: 2014


5. Landau Ginzburg Type Theories from Algebraic Geometry
   • Author(s): Chang, Huai-Liang
   • Year: 2014


6. Algebro-geometric approach toward higher genus GW invariants of Quintics
   • Author(s): Chang, Huai-Liang
   • Year: 2014


7. 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


8. On algebraic geometric construction of enumerative invariants
   • Author(s): Chang, Huai-Liang
   • Source: University of Michigan, US. , Feb 2013
   • Year: 2013


9. Witten's top Chern class revisited
   • Author(s): Chang, Huai-Liang
   • Year: 2013


10. Introduction to Gromov Witten and Fan Jarvis Ruan Witten Theory (I,II)
    • Author(s): Chang, Huai-Liang
    • Source: Mini-course in differential geometry, National Center for Theoretical Science, Hsinchu, Taiwan. , July, 2012
    • Year: 2012


11. Introduction to Gromov Witten and Fan-Jarvis-Ruan-Witten theory
    • Author(s): Chang, Huai-Liang
    • Source: Kavli Institute for the Physics and Mathematics of the Universe, Tokyo University, Tokyo, Japan. , June 2012
    • Year: 2012


12. Algebraic geometric construction of Gun-Sharpe-Witten model and Fan-Jarvis-Ruan Witten theory
    • Author(s): Chang, Huai-Liang
    • Year: 2012


13. The conference of Mirror Symmetry and Related Topics (MSRT)
    • Author(s): Chang, Huai-Liang
    • Year: 2012


14. On Algebro-geometric proof of Li-Zinger Conjecture for g=1 Gromov-Witten invariant of Quintic
    • Author(s): Chang, Huai-Liang; Li, Jun
    • Source: National Cheng Kung University. , December 2011
    • Year: 2011


15. Algebraic geometry of A-twsited topological string theory of Landau Ginzburg type
    • Author(s): Chang, Huai-Liang; Li, Jun
    • Source: Peking University. , 27 May 2011
    • Year: 2011


16. Toward Algebraic geometry of Gauged Linear Sigma model in A side
    • Author(s): Chang, Huai-Liang
    • Source: Taida Institue for Mathematical Sciences, Taiwan. , January 2011
    • Year: 2011


17. Introduction to Fan-Jarvis-Ruan-Witten theory
    • Author(s): Chang, Huai-Liang
    • Source: Taida Institue for Mathematical Sciences, Taiwan. , January 2011
    • Year: 2011


18. Algebraic geometry of A-twsited Landau Ginzburg theory
    • Author(s): Chang, Huai-Liang
    • Source: National Seoul University. , January 2011
    • Year: 2011


19. Moduli of stable maps with elds and its applications
    • Author(s): Chang, Huai-Liang
    • Source: Workshop on Moduli and Birational Geometry, Pohang, Korea. , July 2011
    • Year: 2011


20. On Algebra-geometric proof of Li-Zinger Conjecture for g=1 Gromov-Witten invariant of Quintic Calabi-Yau threefold
    • Author(s): Chang, Huai-Liang; Li, Jun
    • Year: 2011


21. On Donaldson-Thomas invariants of P1 scroll
    • Author(s): Chang, Huai-Liang
    • Source: Yat-Sen University School of Mathematics and Computational Science, Guangzhou. , July 2010
    • Year: 2010


22. Toward algebraic geometry behind Gauged Linear Sigma model in all genus
    • Author(s): Chang, Huai-Liang
    • Source: InternationalCongress of Chinese Mathematicans, Peking. , December 2010
    • Year: 2010


23. On genus one Gromov Witten invariant of Quintic threefold
    • Author(s): Chang, Huai-Liang
    • Source: Hong Kong Math Society Annual General Meeting. , March 2010
    • Year: 2010


24. Donaldson Thomas invariants
    • Author(s): Chang, Huai-Liang
    • Source: Hong Kong Geometry Colloquium, CUHK. , September 2009
    • Year: 2009

  Preprint

1. The theory of N-Mixed-Spin-P fields
   • Author(s): Chang, Huai-liang ; Guo, Shuai; Li, Jun; Liu, Wei Ping Emily
   • Source: arXiv, Sep 2018, Article number 1809.08806
   • Year: 2018


2. Polynomial structure of Gromov-Witten potential of quintic 3-folds via NMSP
   • Author(s): Chang, Huai-liang ; Guo, Shuai; Li, Jun
   • Source: arXiv, Sep 2018, Article number 1809.11058
   • Year: 2018


3. Algebraic virtual cycles for quantum singularity theories
   • Author(s): Chang, Huai-liang ; Young Hoon Kiem; Jun Li
   • Source: arXiv, Jun 2018, Article number 1806.00216
   • Year: 2018


4. A vanishing associated with irregular MSP fields
   • Author(s): Chang, Huai-liang ; Li, Jun
   • Source: arXiv, Aug 2017, Article number 1708.02902
   • Year: 2017


5. 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


6. 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


7. Derived Kodaira Spencer map, Cosection lemma, and semiregularity
   • Author(s): Chang, Huai-Liang
   • Source: arXiv, Sep 2008, Article number 0808.0988
   • Year: 2008

  Presentation

1. An Effective Algorithm for g > 0 GW of Compact CY Threefold
   • Author(s): Chang, Huai-Liang
   • Source: Mini Workshop on Calabi-Yau Geometry, National Cheng Kung University, Tainan, Taiwan, 24-25 June 2014
   • Year: 2014


2. On Gromov Witten theory and Fan-Jarvis-Ruan-Witten theory
   • Author(s): Chang, Huai-Liang
   • Source: Mini-workshop on Algebraic Geometry, Department of Mathematics, Sichuan University, China, April 2014
   • Year: 2014


3. Introduction to Enumerative Geometry for Landau Ginzburg Target Space
   • Author(s): Chang, Huai-Liang
   • Source: The University of Hong Kong, March 2014
   • Year: 2014


4. Reading Seminar on Grothendieck Local Residues
   • Author(s): Chang, Huai-Liang
   • Source: National Cheng Kung University, January 2014
   • Year: 2014


5. Introduction to FJRW theory
   • Author(s): Chang, Huai-Liang
   • Source: National Cheng Kung University, January 2014
   • Year: 2014