Lvzhou(Joe) Chen 陈绿洲 (pronounce)

Photo by Le Zhuang  

Assistant Professor

Department of Mathematics

Purdue University


Email: lvzhou (followed by

Office: MATH 730

Mail: Department of Mathematics
Purdue University
150 North University Street
West Lafayette, IN, 47907

Previous Employment

  • 2020-2022. R. H. Bing Instructor (postdoc) at University of Texas at Austin


  • 2020. Ph.D. in Mathematics, University of Chicago, USA
    Advisor: Danny Calegari

  • 2015. M.S. in Mathematics, University of Chicago, USA

  • 2014. B.S. in Mathematics and Applied Mathematics, Fudan University, China

Research Interests

    I am interested in geometric topology, geometric group theory and dynamics. Topics I specifically studied include:

  • stable commutator length, which

    • is a relative version of the Gromov-Thurston norm,
    • is dual to quasimorphisms,
    • captures geometric and dynamical information of (large) groups, and
    • can be used to find surface subgroups (in some hyperbolic groups for instance).
  • mapping class groups of infinite-type surfaces,

    • which are essentially surfaces with infinitely generated fundamental groups,
    • such as the plane/sphere minus a Cantor set, which occurs naturally in dynamics (e.g. complex dynamics or kleinian groups).