William Floyd (mathematician)

Most of Floyd's research is in the areas of geometric topology and geometric group theory.

Floyd and Allen Hatcher classified all the incompressible surfaces in punctured-torus bundles over the circle.^[2]

In a 1980 paper^[3] Floyd introduced a way to compactify a finitely generated group by adding to it a boundary which came to be called the Floyd boundary.^[4][5] Floyd also wrote a number of joint papers with James W. Cannon and Walter R. Parry exploring a combinatorial approach to the Cannon conjecture^[6][7][8] using finite subdivision rules. This represents one of the few plausible lines of attack of the conjecture.^[9]

• William Floyd at the Mathematics Genealogy Project
• William Floyd's webpage, Department of Mathematics, Virginia Polytechnic Institute and State University

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