研究方向：

分形分析、狄氏型及其热核估计

教育经历：

2013.08-2017.07　 清华大学　数学与应用数学 　本科/学士

2017.08-2022.06　清华大学　数学 　研究生/博士

工作经历：

2022.09-2025.08　德国比勒菲尔德大学　博士后

2025.10-至今　天津大学应用数学中心　讲师

代表性论文与著作：

[1] G. Liu and M. Murugan. Parabolic Harnack inequality implies the existence of jump kernel. Potential Analysis, 57: 155--166, 2022.

[2] J. Hu and G. Liu. Upper estimates of heat kernels for non-local Dirichlet forms on doubling spaces. Forum Mathematicum, 34(1): 225--277, 2022.

[3] G. Liu and M. Murugan. On the comparison between jump processes and subordinated diffusions. ALEA Latin American Journal of Probability and Mathematical Statistics, 20: 1271--1281, 2023.

[4] G. Liu. Existence of self-similar Dirichlet forms on post-critically finite fractals in terms of their resistances. Manuscripta Mathematica, 174: 597--647, 2024.

[5] G. Liu. Heat kernel estimates on local and non-local Dirichlet spaces satisfying a weak chain condition. Journal of Mathematical Analysis and Applications, 539: 128477, 2024.