微分动力系统，特别是具备双曲性的系统的光滑遍历理论与刚性现象。

2017.09-2023.07 北京大学数学科学学院 博士

2013.09-2017.07 四川大学数学学院 学士

2025.08-至今    同济大学数学科学学院 助理教授

2023.07-2025.07 复旦大学上海数学中心 博士后

[1] R. Gu, Y. Shi, Topological and smooth classification of Anosov maps on torus, to appear in Compos. Math.

[2] R. Gu, W. Li, Stable Lyapunov spectrum rigidity of nilmanifold endomorphism, J. Dynam. Differential Equations, 2025, https://doi.org/10.1007/s10884-025-10416-8.

[3] R. Gu, Y. Shi, Rigidity on integrability of invariant bundles of Anosov maps, SCIENTIA SINICA Mathematica, 2025, https://doi.org/10.1360/SSM-2024-0307.

[4] R. Gu, Smooth Stable Foliations of Anosov Diffeomorphisms, C. R. Math. Acad. Sci. Paris, 2024, https://doi.org/10.5802/crmath.679.

[5] D. Yu, R. Gu, Rigidity of center Lyapunov exponents for Anosov diffeomorphisms on 3-torus, Proc. Amer. Math. Soc., 2024, https://doi.org/10.1090/proc/16587.

[6] J. An, S. Gan, R. Gu, Y. Shi, Rigidity of stable Lyapunov exponents and integrability for Anosov maps, Comm. Math. Phys., 2023, https://doi.org/10.1007/s00220-023-04786-7.