Professor, Director of Graduate Studies
PhD, University of California at Berkeley
Low-dimensional topology, hyperbolic geometry and 3-manifolds, knot theory, contact geometry, curve complex and mapping class group.
William Menasco's research has touched several areas in low-dimensional topology---alternating links, incompressible surfaces, stabilization of closed braids, knot theory in contact geometry, and hyperbolic 3-manifolds. His current interest is focussed on the area of geometric group theory involving the curve graph in the curve complex and mapping class groups.
Lafountain, Douglas and Menasco, William W: "Climbing a Legendrian mountain range without Stabilization", Banach Center Publ. 100 (2014), 179-196.
Birman, Joan S and Menasco, William W: "The curve complex has dead ends", Geometriae Dedicata, Volume 169 (1 issue-April 2014).
Birman, Joan S and Menasco, William W: "Stabilization in the braid groups-I: Markov Theorem without Stabilization", Geometry and Topology 10 (2006), 401-528.
Birman, Joan S and Menasco, William W: Stabilization in the braid groups-II: Transversal simplicity of knots, Geometry and Topology 10 (2006), 1425-1452.
Menasco, William W and Thistlethwaite, Morwen: "The classification of alternating links", Annals of Mathematics 138 (1993), 113-171.