William Floyd (mathematician)

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William Floyd

William J. Floyd is an American mathematician who studies low-dimensional topology and geometric group theory.

Floyd received his PhD in 1978 from William Thurston at Princeton University ( Group completions and limit sets of Kleinian Groups ). In his dissertation he introduced Floyd borders (a compactification of finitely generated groups). He is a professor at the Virginia Polytechnic Institute .

With Steven Kerckhoff he wrote down most of the influential Thurston Geometry and Topology of 3-Manifolds lecture from 1978/79. In the 2000s he dealt with attempts to prove the conjecture of James W. Cannon (1998) in geometric group theory (together with Cannon himself and Walter Parry , method of Finite Subdivision Rules ).

Fonts

  • with Allen Hatcher Incompressible surfaces in punctured-torus bundles , Topology and its Applications, Volume 13, 1982, pp. 263-282
  • with Cannon, Parry Finite subdivision rules , Conformal Geometry and Dynamics, Volume 5, 2001, pp. 153-196.

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ↑ Published in Inventiones Mathematicae, 57 (1980), 205-218
  3. ↑ Characterization of hyperbolic groups with a 2-sphere as a border
personal data
SURNAME Floyd, William
ALTERNATIVE NAMES Floyd, William J.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 20th century