Search websites, locations, and people
Lifan Guan, Ph.D.
Lie groups and homogeneous dynamics group
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 betway必威棋牌登录
Biography
Lifan Guan, born in 1989 in Henan province. He received a Bachelor degree in Science from Beijing forestry university in 2009, and a Ph.D degree in Science from Peking University in 2015. From 2015 to 2021, he was doing postdoctoral research in BICMR, University of York and University of Goettingen. Now he has joined Westlake University fulltime and is employed as a PI.
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 andLifan Guan,“Bounded orbits of diagonalizable flows onSL(3, R)/SL(3, Z)”,Int. Math. Res. Not. IMRN2015 (2015), no. 24, 13623–13652.
2. Lifan Guanand Weisheng Wu,“Bounded orbits of certain diagonalizable flows onSL(n, R)/SL(n, Z)”,Trans. Amer. Math. Soc.370 (2018), no. 7, 4661–4681.
3. Lifan Guanand Jun Yu,“Weighted badly approximable vectors and games”,Int. Math. Res. Not. IMRN2019 (2019), no. 3, 810–833.
4. Jinpeng An, Anish Ghosh,Lifan Guanand Tue Ly,“Bounded orbits of diagonalizable flows on finite volume quotients of products ofSL(2, R)”,Advances in Math.354 (2019), article number 106743.
5. Lifan Guanand 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.
