Ph.D., Mathematics, Nanjing University, 2024

B.S., Mathematics, Jilin University, 2019

Postdoc, Department of Mathematical Sciences, Tsinghua University, 2024-now

1. Hamiltonian dynamical systems: Aubry-Mather theory and weak KAM theory

2. Hamilton-Jacobi equations: theory of viscosity solutions and their singularities

3. Optimal transport: from the perspective of Hamiltonian dynamical systems

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

2. 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.

3. 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.