Lvzhou(Joe) Chen 陈绿洲 (pronounce)

Photo by Le Zhuang

Assistant Professor Department of Mathematics Purdue University Contact Email: lvzhou (followed by @purdue.edu) 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

Education

• 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

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).

My research is partially supported by NSF Grant DMS-2506702

Seminars

Geometry and Geometric Analysis Seminar

Topology Seminar

Learning Seminar on Groups, Geometry, Topology, and Dynamics