Qiongling Li

作者:李琼玲(2019-01-10)




Name Qiongling Li

Position: Research Fellow

  

Curriculum Vitae

2006.09-2010.07   B.S., Nankai University, Chern’s class of Mathematics;

2010.08-2014.12   Ph.D (Advisor: Mike Wolf), Department of Mathematics in Rice University;

2015.01-2015.05   Cha-Chern Postdoc, Mathematics Sciences Research Institute;

2015.08-2018.07   Joint Postdoc: QGM at Aarhus University and California Institute of Technology;

2018.10-2018. 12  Associate Research Fellow, Chern Institute of Mathematics, Nankai University;

2019.01-present    Research Fellow, Chern Institute of Mathematics, Nankai University;


Research InterestHigher Teichmuller theory, Higgs bundles, Harmonic maps

  

Publications

[1] Teichmueller space is totally geodesic in Goldman space, Asian Journal of Mathematics, Vol 20 (2016) No. 1, pp. 21--46.

[2] Asymptotics of Higgs bundles in Hitchin Components, with Brian CollierAdvances in Mathematics, Vol 307 (2017), pp. 488--558arXiv:1405.116.

[3] AdS 3-manifolds and Higgs bundles, with Daniele Alessandrini, Proc. Amer. Math. Soc146 (2018), pp. 845--860,arXiv:1510.07745.

[4] Minimal surfaces for Hitchin representations, with Song DaiJournal of Differential Geometry, Vol. 112, No. 1 (2019), pp. 47-77, arXiv:1605.09596.

[5] On the uniqueness of vortex equations and its geometric applications,The Journal of Geometric Analysis(2019) 29: pp. 105--120.

[6] On cyclic Higgs bundles, with Song DaiMathematische Annalen vol 376, pp. 1225–1260(2020), arXiv:1710.10725.

[7] Harmonic maps for Hitchin representations, Geometric and Functional Analysis, (2019) 29 (2), 539--560.

[8] An introduction to Higgs bundles via harmonic maps, SIGMA 15 (2019), 035, 30 pages.

[9]  Nilpotent Higgs bundles and the Hodge metric on the Calabi-Yau moduli, arXiv:2005.13939.

[10] Domination results in n-Fuchsian fibers in the moduli space of Higgs bundles, with Song DaiarXiv:2005.13960.



  

Contact

OfficeRoom 508, Shiingshen BuildingTel 022-23509391 Email:qiongling.li@nankai.edu.cn  and  qiongling.li@gmail.com