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James Hyde

H.C. Wang Assistant Professor

Klaman Hall placeholder

Malott Hall, Room 590
jth263@cornell.edu
607-2556494

Educational Background

  • Ph.D. (2017) University of St. Andrews

Departments/Programs

  • Mathematics

Research

Geometric group theory

I am a group theorist interested in simplicity, finite generation, finite presentation and, right-orderability. I am interested in groups of homeomorphisms of both the Cantor set and manifolds. For example the Thompson groups, Brin's higher dimensional Thompson groups and the asynchronous rational group.

Courses

Publications

  • Finitely generated infinite simple groups of homeomorphisms of the real line (with Lodha, Y.) Invent. math. (2019).
  • The group of boundary fixing homeomorphisms of the disc is not left-orderable, Ann. of Math. To appear