I am a tenure-track Professor at Fudan University (SCMS). My research interests lie in low-dimensional topology and geometric group theory.
My current research focuses on the geometric and dynamical aspects of finitely generated groups and their automorphism groups. In particular, the geometry of Out(Fn) and non-positively curved groups have been the center of my work.
Mailing adress:
Shanghai Center for Mathematical Sciences
No. 2005 Shonghu Road
Shanghai, China
Papers
Sublinearly Morse Boundary of CAT(0) admissible groups with Hoang Thanh Nguyen, submitted. [pdf]
Sublinearly Morse Boundary II: Proper geodesic spaces with Kasra Rafi and Giulio Tiozzo, submitted. [pdf]
Sublinearly Morse geodesics in CAT(0) spaces: lower divergence and hyperplane characterization with Devin Murray and Abdul Zalloum, to appear in Algebraic & Geometric Topology. [arxiv]
Topological properties of sublinearly Morse boundaries of CAT(0) groups with Abdul Zalloum, submitted. [pdf]
Sub-linearly Morse boundary I: CAT(0) spaces with Kasra Rafi and Giulio Tiozzo, to appear in Advances in Mathematics. [pdf]
Dilatations of right-angled Artin groups with Corey Bregman, submitted. [pdf]
Hyperbolic actions of big mapping class groups with Camille Horbez and Kasra Rafi, Journal of the Institute of Mathematics of Jussieu 1-32. [pdf]
Convexity of balls in Outer space with Kasra Rafi. Groups, Geometry, and Dynamics 15 (2021), no. 3, pp. 893–934 [pdf]
Quasi-geodesics in Out(Fn) and their shadows in sub-factors with Kasra Rafi, Journal of the London Mathematical Society 104 (1), 147-168. [pdf]
Excursions of generic geodesics in right-angled Artin groups and graph products with Giulio Tiozzo. International Mathematics Research Notices 2021 (22), 16910-16937
[pdf]
Uniform fellow traveling between surgery paths in the sphere graph
with Matt Clay and Kasra Rafi. Algebraic & Geometric Topology 17(2017) 3751-3778
[pdf]
Actions of right-angled Coxeter groups on the Croke-Kleiner spaces , Geometriae Dedicata 185(1), 1-14, 2016
[pdf]
Geometry of right-angled Coxeter groups on the Croke-Kleiner spaces, Geometriae Dedicata 183(1), 113-122, 2016
[pdf]