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, Mathematische 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 Dai, arXiv:2005.13960.
Contact:
Office:Room 508, Shiingshen Building;Tel: 022-23509391; Email:qiongling.li@nankai.edu.cn and qiongling.li@gmail.com