Research Interests

I only worry when things actually turn out to be as simple as they seem....

• Hamiltonian dynamical systems

• Surface mapping class groups

• Character varieties of surfaces

• Symplectic geometry

• "Anosov mapping class actions on the SU(2)-representation variety of a punctured torus", Ergod. Th. & Dynam. Sys. 18 (1998), 539-554.

• "Generating quadratic pseudo-Anosov homeomorphisms of closed surfaces", Geom. Dedicata. 97 (2003), 129-150.
  

• "Mapping class actions on moduli spaces", Int. J. Pure Appl. Math. 9 (2003), 89-97.  

• "The algebriac entropy of the special linear character automorphisms of a free group on two generators", Trans. AMS. 359 (2007), no. 4, 1445-1470

• "The degree of the special linear characters of a rank two free group", to appear in Geometriae Dedicata.

• "Automorphisms of the Fricke characters of free groups", submitted for review.

• "The SU(2)-character varieties of punctured tori", in preparation.

• "Symplectic Geometry" (with Mikhail Gromov and Robert Miner), text based on notes from a series of lectures given by Gromov at the University of Maryland in the early and mid 1990's.  Preliminary version available upon request.

•   More to follow shortly....