李琼玲 特聘研究员
办公楼：省身楼 508
电话：022-23509391
Email：qiongling.li@nankai.edu.cn
教育背景
2010-2014 博士 美国莱斯大学
2006-2010 学士 南开大学
工作经历
2019 至今 特聘研究员 南开大学陈省身数学研究所
2019.8-2019.10 Research Member 美国数学科学研究所（MSRI)
2018.10-2018.12 特聘副研究员 南开大学陈省身数学研究所
2015-2018 博士后 美国加州理工学院和丹麦奥胡斯大学QGM研究所
2015春季 Cha-Chern博士后 美国数学科学研究所（MSRI)
研究方向：Higher Teichmuller theory, Higgs bundles, Harmonic maps
招生专业：微分几何，复分析
发表论文：
16. Harmonic metrics of Higgs bundles in the Hitchin section over non-compact hyperbolic surfaces, with Takuro Mochizuki, arXiv:2307.03365.
15. Harmonic metrics of generically regular semisimple Higgs bundles on non-compact Riemann surfaces, with Takuro Mochizuki, Tunisian Journal of Mathematics, Vol. 5 (2023), No. 4, 663–711.
14. Bounded differentials on unit disk and the associated geometry, with Song Dai, arXiv:2209.01384.
13. Projective structures with (Quasi-)Hitchin holonomy, with Daniele Alessandrini, Colin Davalo, arXiv:2110.15407.
12. Isolated singularities of Toda equations and cyclic Higgs bundles, with Takuro Mochizuki, arXiv:2010.06129.
11. Complete solutions of Toda equations and cyclic Higgs bundles over non-compact surfaces, with Takuro Mochizuki, arXiv:2010.05401.
10. Domination results in n-Fuchsian fibers in the moduli space of Higgs bundles, with Song Dai, Proceedings of the London Mathematical Society, (3) 2022;124:427–477, arXiv:2005.13960.
9. Nilpotent Higgs bundles and the Hodge metric on the Calabi-Yau moduli, International Mathematics Research Notices,Volume 2022, Issue 9, May 2022, Pages 6705–6741, arXiv:2005.13939.
8. An introduction to Higgs bundles via harmonic maps, SIGMA 15 (2019), 035, 30 pages.
7. Harmonic maps for Hitchin representations, Geometric and Functional Analysis, (2019) 29 (2), 539-560.
6. On cyclic Higgs bundles, with Song Dai, Mathematische Annalen volume 376, pp. 1225–1260(2020), arXiv:1710.10725.
5. On the uniqueness of vortex equations and its geometric applications, The Journal of Geometric Analysis (2019) 29:105–120, arXiv:1710.10729.
4. Minimal surfaces for Hitchin representations, with Song Dai, Journal of Differential Geometry, Vol. 112, No. 1 (2019), pp. 47-77, arXiv:1605.09596.
3. AdS 3-manifolds and Higgs bundles, with Daniele Alessandrini, Proc. Amer. Math. Soc. 146 (2018), pp. 845-860, arXiv:1510.07745.
2. Asymptotics of Higgs bundles in Hitchin Components, with Brian Collier, Advances in Mathematics, Vol 307 (2017), pp. 488–558, arXiv:1405.116.
1. Teichmueller space is totally geodesic in Goldman space, Asian Journal of Mathematics, Vol20 (2016) No. 1, pp. 21-46, arXiv:1301.1442.
2022年4-6月在中俄数学中心教授一门在线课程：
Higgs bundles and related topics
目前参与组织的活动：
Joint Seminar on Teichmüller Theory and Related Topics (JSTeichR)
I am currently one of the organizers of the seminar. The other organizers are Yi Huang (YMSC, Tsinghua Univ), Yi Liu (BICMR, Peking Univ), and Yunhui Wu (YMSC, Tsinghua Univ).
过去组织的活动：
2022年暑期短期课程（1. 刘雨晨：Introduction to K-stability; 2. 楚健春：Introduction to partial differential equations; 3. 黄鹏飞：Short course on Higgs bundles and local systems)
2021年暑期短期课程 (1.徐彬斌: 双曲曲面介绍; 2. 杨文元：几何群论； 3. 张若冰：度量黎曼几何初步）
2020年暑期短期课程（何思奇：An Introduction to Gauge Theory；苏伟旭：Teichmüller空间简介）