姓名:李高瞻

职称:助理研究员

邮箱:gzli@mail.tsinghua.edu.cn

研究领域:1.可积系统 2.渐近分析 3.Riemann-Hilbert问题

教育经历

1. 复旦大学数学科学学院,数学与应用数学,理学学士, 2016-2020。

2. 复旦大学数学科学学院,基础数学,理学博士, 2020-2025。

工作经历

1.清华大学数学系,博士后,2025-

研究领域

1.可积系统

2.渐近分析

3.Riemann-Hilbert问题

学术成果

1. E. Fan, G. Li, Y. Yang& L. Zhang, Painlevé XXXIV asymptotics for the defocusing nonlinear Schrödinger equation with a finite-genus algebro-geometric background, Math. Ann. 394(2026), no.2, Paper No. 44.

2. G. Li, L. Liu & Y. Yang, Complex Painlevé type transient asymptotics of the focusing NLS equation: Step-like oscillating background, J. Differential Equations 465(2026), Paper No. 114216.

3. E. Fan, G. Li & Y. Yang, Riemann-Hilbert approach to the Algebro-Geometric solution of the modified Camassa-Holm equation with linear dispersion term. arXiv:2503.01267.

4. G. Li, J. Xu & Y. Yang, Riemann-Hilbert problem and soliton resolution for the two-component CamassaHolm system. Bull. Lond. Math. Soc., 58(2026), no.1, Paper No. e70216.

5. E. Fan, G. Li & Y. Yang, On the long-time asymptotics of the modified Camassa-Holm equation with step-like initial data. Europe Journal of Applied Mathematics, 37(2026), no.2, 405-448.

6. E. Fan, G. Li & Y. Yang, On L2-orbital stability of Hasimoto soliton solutions for the Hirota equation on the line. J. Differential Equations, 421(2025), 104-126.

7. G. Li, Y. Yang, & E. Fan,Long-time asymptotic behavior for the nonlocal nonlinear Schrödinger equation in the solitonic region. Sci. China Math. 68(2025), no.2, 379-398.