Lifan Guan, Ph. D.
▎Assistant Professor of Mathematics
▎Lie groups and homogeneous dynamics group
◢ Email：guanlifan@westlake.edu.cn
Quote from the sages: “The world's most wonderful, magnificent and extraordinary landscape, often hide in the dangerous, remote place that very few people can reach. Therefore, people who do not have strong will cannot succeed.” I want to share it with Westlake University.
Biography
Lifan Guan, born in 1989 in Henan province. He received his Bachelor degree in Science from Beijing Forestry University in 2009, and a Ph.D degree in Basic Mathematics from Peking University in 2015. From 2015 to 2021, he was doing postdoctoral research in BICMR, University of York and University of Göttingen. He joined Westlake University in September 2021 as an assistant professor.
Research
Lifan Guan's research interests are in Lie groups, arithmetic groups and related problems in homogeneous dynamics and number theory.
Representative Publications
1) Jinpeng An, Dmitry Kleinbock and Lifan Guan, "Bounded orbits of diagonalizable flows on SL(3, R)/SL(3, Z)", Int. Math. Res. Not. IMRN 2015 (2015), no. 24, 13623–13652.
2) Lifan Guan and Weisheng Wu, "Bounded orbits of certain diagonalizable flows on SL(n, R)/SL(n, Z)", Trans. Amer. Math. Soc. 370 (2018), no. 7, 4661–4681.
3) Lifan Guan and Jun Yu, "Weighted badly approximable vectors and games", Int. Math. Res. Not. IMRN 2019 (2019), no. 3, 810–833.
4) Jinpeng An, Anish Ghosh, Lifan Guan and Tue Ly, "Bounded orbits of diagonalizable flows on finite volume quotients of products of SL(2, R)", Advances in Math. 354 (2019), article number 106743.
5) Lifan Guan and Ronggang Shi, "Hausdorff dimension of divergent trajectories on homogeneous spaces", Compositio Math. 156 (2020), no. 2, 340–359.
6) Jinpeng An, Lifan Guan, Antoine Marnat and Ronggang Shi, "Divergent trajectories on products of homogeneous spaces", Advances in Math. 390 (2021), article number 107910.
7) Victor Beresnevich, Lifan Guan, Antoine Marnat, Felipe Ramírez and Sanju Velani, "Dirichlet is not just bad and singular." Advances in Math. 401 (2022), Paper No. 108316, 57 pp.
Contact Information
Email：guanlifan@westlake.edu.cn
