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James Hyde

H.C. Wang Assistant Professor

Image of James Hyde

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

Fall 2019

Spring 2020

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