Research

My research interests lie in various topics such as ergodic and geometric group theory, topological dynamics, low dimensional topology, and metric geometry. More specifically, I’m currently interested in topological and analytical properties of big mapping class groups and geometry in infinite-dimensional hyperbolic spaces.

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A Loch Ness Monster (sea serpent), from Konrad Gesner’s Nomenclator aquafilium animantium (1560), credit: Shalom, Wikimedia

Publications and preprints

  • Connectedness of the Gromov boundary of fine curve graphs, with Dong Tan, (pdf)
  • Big mapping class groups are not extremely amenable, submitted, (pdf)
  • Hyperbolic embedding of infinite-dimensional convex bodies, submitted, (pdf)

Notes

  • Hyperbolic rigidity of amenable groups, (pdf)

Talks

  • « Fine curve graph and its large scale geometry », Paris-Saclay University & National Seoul University Geometry/Topology Seminar, Online, 2024
  • « Plongement hyperbolique des corps convexes », Séminaire Gaston Darboux, Institut Montpellierain Alexander Grothendieck, Montpellier, France, 2023
  • « Vers la (non)-moyennabilité des gros groupes de difféotopies », Séminaire Groupes et Actions, Institut de Mathématiques d’Orsay, Orsay, France, 2023
  • « Hyperbolic geometry of infinite dimensional convex bodies », Geometry seminars, Guangxi Center of Mathematical Research, Nanning, China, 2023
  • « Hyperbolic embedding of infinite dimensional convex bodies », Exposé doctorant, Institut de Mathématiques d’Orsay, Orsay, France, 2023
  • « The Sphere packing problem and orthogonal polynomials », Guangxi Center of Mathematical Research, Nanning, China, 2021

Academic activities

  • Young Geometric Group Theory XII, Bristol University, Bristol, 2024
  • Topological and Homological Methods in Group Theory 2024, Universität Bielefeld, Bielefeld, 2024
  • Autumn School on Large Scale Geometry, Universität Göttingen, Göttingen, 2023
  • Nanning-Guilin Day of Geometry, Guangxi Center of Mathematical Research, Nanning, 2023
  • Young Geometric Group Theory XI, Universität Münster, Münster, 2023
  • Big Mapping Class Groups and Diffeomorphism Groups, CIRM, Marseille Luminy, 2022
  • School on Dynamical Group Theory, Institut de Mathématiques de Bourgogne, Dijon, 2022
  • Hyperbolic groups and their generalisations, Institut Henri Poincaré, Paris, 2022
  • Self-similarity of groups, trees and fractals, Institut Henri Poincaré, Paris, 2022
  • Mapping class group and {\rm Out}(F_n), Institut Henri Poincaré, Paris, 2022
  • International Conference on Geometry Analysis and Hyperbolic Equations, Guangxi Center for Mathematical Research, Nanning, 2021

Theses

  • The Sphere packing problem and orthogonal polynomials, master thesis, supervised by Matthew de Courcy-Ireland and Maryna Viazovska.

Miscellaneous

These are some friends with whom I often discuss maths during weekends: Yonsheng Jia (贾勇生), Dong Tan (谭东), David Xu.