A Few Recent Papers (PDF files)

• Symbolic Dynamics in the Planar Three-Body Problem (2/2/2007) (download PDF)
• Shooting for the Eight -- A Topological Existence Proof for a Figure-Eight Orbit of the Three-Body Problem (1/24/2007) (download PDF)
• Finiteness of Stationary Configurations of the Four-Vortex Problem. (12/13/2006) (download PDF) (download VortexCalculations notebook)
• A Topological Existence Proof for the Schubart Orbits in the Collinear Three-body Problem. (6/6/2006) (download PDF)
• A Proof of Saari's Conjecture for the Three-Body Problem in R^d (5/20/2005) (download PDF) (download Mathematica notebook)
• Finiteness of Relative Equilibria of the Four- body Problem, Inv. Math. 163, 289-312 (2006) (download PDF) (download Mathematica notebook (1.7 mb))
• A Variational Proof of Existence of Transit Orbits in the Restricted Three-Body Problem, Dynamical Systems: an Intenational Journal, 20,1,45-58 (2005) (download PDF)
• A Computer Assisted Proof of Saari's Conjecture for the Planar Three-Body Problem, Trans.AMS 357,8, 3105-3117 (2004) (download PDF)
• Sturm's Algorithm and Isolating Blocks, Jour. Sym. Comp.40, 1242-1255 (2005). (download PDF)
• Isolating Blocks Near the Collinear Relative Equilibria of the Three-Body Problem, Trans.AMS, 356, 4395-4425 (2004).(download PDF)
• Generic Finiteness for Dziobek Configurations, Trans.AMS, 353, 11, 4673-4686 (2001) (download PDF)