Huailiang Chang

 

Academic Experience

 

Associate Professor, Department of Mathematics at Hong Kong University of Science and Technology, 2015-present

Assistant Professor, Department of Mathematics at Hong Kong University of Science and Technology, 2009-2015

Postdoctor in mathematical physics, International School for Advanced Studies, SISSA, Italy, 2007-2009

 

Education

 

Ph.D. in Mathematics, Department of Mathematics, Stanford University, 2007

 

B.S. in Mathematics National Cheng Kung University, 2001

 

Research Interest

 

Algebraic Geometry and String theory 

 

Research Articles

 

H.L. Chang, J. Li, W.-P. Li, C.-C. Melissa Liu, On the mathematics and physics of Mixed Spin P-fields, Proceedings of Symposia in Pure Mathematics, Vol 96, 2017 (a more physics-friendly survey of MSP moduli)

 

H.L. Chang, S. Guo, W.-P. Li, Z. Zhou,Genus one GW invariants of quintic threefold via MSP localization, arXiv:1711.10118

 

H.L. Chang and J. Li, A vanishing for localizing MSP moduli of quintic, arXiv:1708.02902

 

H.L. Chang, J. Li, W.-P. Li, C.-C. Melissa Liu, An effective theory of GW and FJRW invariants of quintics Calabi-Yau manifold, arXiv:1603.06184 

 

H.L. Chang and M.-L. Li, Virtual Residue and an integral formalism, accepted by the Journal of Geometric analysis,  arXiv:1508.02769

 

H.L. Chang, J. Li, W.-P. Li, C.-C. Melissa Liu, A survey on mixed spin P-fields, Chinese Annals of Mathematics, Series B Vol 38(2017), Issue 4, p 869-882, arXiv:1603.02092 

 

H.L. Chang, Y.H. Kiem and J. Li, Torus localization formulas for cosection localized virtual cycles, Adv.Math. 308 (2017) 964-986, arXiv:1502.00078

 

H.L. Chang, J. Li, W.-P. Li, C.-C. Melissa Liu, Mixed-Spin-P fields of Fermat quintic polynomials, arXiv:1505.07532 

 

H.L. Chang and J. Li,  An algebraic proof of the hyperplane property of the genus one GW-invariants of quintics, Journal of Differential Geometry 100(2015), No. 2, p 251-299, arXiv:1206.5390

 

H.L. Chang, J. Li and W.-P. Li, Witten's top Chern class via cosection localization, Inventiones mathematicae 200(2015), p 1015-1063, arXiv:1303.7126

 

H.L. Chang and Y.-H. Kiem,  Poincare invariants are Seiberg-Witten invariants, Geometry and Topology 17(2013), p 1149-1163, arXiv:1205.0848

 

H.L. Chang and J. Li , Gromov-Witten invariants of stable maps with fields,   International Mathematics Research Notices. 18(2012), p 4163-4217, arXiv:1101.0914

 

H.L. Chang and J. Li, Semi-Perfect Obstruction theory and DT Invariants of Derived Objects, Communications in Analysis and Geometry 19(2011),  No. 4,  p 807-830, arXiv:1105.3261

 

H.L. Chang, Derived Kodaira Spencer map, Cosection lemma, and semiregularity, arXiv:0808.0988

 

H.L. Chang,  A vanishing result for Donaldson Thomas invariants of P1 scroll, Acta Mathematica Sinica, English Series 30(2014), Issue 12, p 2079-2084  (Ph.D thesis)  arXiv:0711.4529.

 

J.Z. Jeng, Y.Y. Huang and H.L. Chang, Characterization of maps having the KKM property, Soochow J. Math. 28 (2002), No. 3, 329-338.

 

Teaching in 2017 spring

 

Moduli Spaces——Math 6250H 

 

Contact

Department of Mathematics

Hong Kong University of Science and Technology

Clear Water Bay, Kowloon, Hong Kong

 

Office: Room 3490, Lift 25-26, Academic Building

Phone: +852 2358 7454  Fax: +852 2358 1643

Email: mahlchang@ust.hk