姓名:石天齐

职称:助理研究员

邮箱:tqshi.math(at)gmail.com

研究领域:1. Hamilton动力系统:Aubry-Mather理论与弱KAM理论 2. Hamilton-Jacobi方程:粘性解及其奇性 3. Hamilton系统与最优输运

教育经历

吉林大学数学学院,本科,2015-2019

南京大学数学系,博士,2019-2024

工作经历

清华大学数学科学系,博士后,2024-至今

研究领域

1. Hamilton动力系统:Aubry-Mather理论与弱KAM理论

2. Hamilton-Jacobi方程:粘性解及其奇性

3. Hamilton系统与最优输运

学术成果

1. T. Shi and J. Xue, On Aubry’s completeness conjecture, preprint, arXiv:2605.00305, 2026.

2. P. Cannarsa, W. Cheng, T. Shi and W. Wei, Singularities and their propagation in optimal transport, Math. Ann. 393 (2025), no. 2, 2095–2155.

3. S. Zhu, X. Cui and T. Shi, Viscosity solutions to a Cauchy type problem for timelike Lorentzian eikonal equation, J. Math. Phys., 65, 092701, 2024.

4. W. Cheng, J. Hong and T. Shi, Optimal transport in the frame of abstract Lax-Oleinik operator revisited, preprint, arXiv:2402.04159, 2024.

5. T. Shi, W. Cheng and J. Hong, Topology of singular set of semiconcave function via Arnaud's theorem, Commun. Pure Appl. Anal. 22 (2023), no. 6, 1950-1961.