The interests of the Geometry research area group at the Department of Mathematics at the University of Georgia revolve around differential geometry, broadly construed. We have a weekly seminar that meets on Fridays at 2:30.

 

Weekly Seminar Schedule

 

Personnel

Much of my work has been in the area of integrable Hamiltonian systems. In general I am interested in properties and applications of differential equations.

I study random geometric knot threory. My thesis was on an algorithm for generating random knots given a thickness constraint. I am currently working on optimizing the methods of Jason Cantarella and Clayton Shonkweiler for generating random knots with no constraints.

Symplectic geometry and homological mirror symmetry