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 Interest: Higher 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 Collier, Advances in Mathematics, Vol 307 (2017), pp. 488--558, arXiv:1405.116.

[3] AdS 3-manifolds and Higgs bundles, with Daniele Alessandrini, Proc. Amer. Math. Soc. 146 (2018), pp. 845--860,arXiv:1510.07745.

[4] Minimal surfaces for Hitchin representations, with Song Dai, Journal 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 Dai, accepted in Mathematische Annalen, https://doi.org/10.1007/s00208-018-1779-4

[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.

 

Contact：

Office: Room 508, Shiingshen Building；

Tel: 022-23509391；

Email: qiongling.li@nankai.edu.cn  and  qiongling.li@gmail.com