Research Talks

Diffeomorphisms and Heegaard splittings of 3-manifolds, Geometry and Topology Down Under, University of Melbourne, Melbourne, Australia, July 19, 2011,  pdf.

The tunnel leveling addendum, Geometric Topology in 3 and 4 Dimensions, University of California at Davis, June 23, 2009,  pdf.

Disk complexes, arc complexes, and knots, William Rowan Hamilton Geometry and Topology Workshop, Trinity College, Dublin, Ireland, August 28, 2008,  pdf.

Constructing knot tunnels using giant steps, Special Session on Heegaard Splittings, Bridge Positions and Low-dimensional Topology, Joint Mathematics Meetings, San Diego, January 9, 2008,  pdf.

All tunnels of all tunnel number 1 knots, Geometric Topology Conference, Beijing University, Beijing, China, June 22, 2007,  pdf.

Parameterizing the set of knot tunnels, Special Session on Geometric Topology and Geometric Group Theory, Forty First Annual Spring Topology and Dynamics Conference, University of Missouri at Rolla, Rolla, Missouri, March 30, 2007,  pdf.

Applications of the disk complex of the genus-2 handlebody to knot theory, Special Session on Mapping Class Groups and Handlebodies, Joint Mathematics Meetings, New Orleans, January 8, 2007,  pdf.

Nielsen equivalence, group actions, and PSL(2,q), First Arkansas-Oklahoma Workshop in Topology and Geometry, University of Arkansas, May 19, 2005,  pdf.

The Smale Conjecture for elliptic 3-manifolds, Special Session on Results in 3-manifolds and Related Topics, AMS Regional Meeting, Tallahassee, Florida, March 12, 2004,  pdf.

Free actions on handlebodies, Conference on Conformal Geometry, Discrete Groups and Surfaces, Bedlewo, Poland, June 30, 2003,  pdf.

Imbeddings of free actions on handlebodies, Special Session on Hyperbolic Manifolds and Discrete Groups, AMS Regional Meeting, Ann Arbor, Michigan, March 3, 2002,  pdf.

Group actions on handlebodies, Spring Topology and Dynamical Systems Conference, Morelia, Mexico, March 15, 2001,  pdf.