Department of Mathematics, HKUST  

  CHANG, Huai-Liang   張懷良

  PhD Stanford

Office: Room 3490  

Telephone: 7454  

Email: mahlchang@ust.hk  

URL:
https://www.math.hkust.edu.hk/~mahlchang   
  Professor

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.

Teaching

  • MATH1013  Calculus IB

Research Interests

  • Algebraic Geometry and String Theory

       Selected Publications

Full Publication List [HKUST Scholarly Publications]  

Article   

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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