James Hyde

H.C. Wang Assistant Professor

Research Focus

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.

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

Courses - Spring 2022

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