Research

 
 

My research interests lie in classification results in toric geometry and applications thereof.

More specifically, I have worked towards a classification of folded symplectic toric manifolds and have used contact and symplectic toric manifolds to examine the dynamics of the geodesic flow on a Riemannian manifold.

 

Publications and Preprints:

  1. •My thesis, in which I prove a uniqueness result for folded symplectic toric four-manifolds.

  2. •Obstructions to toric integrable geodesic flows in dimension 3 (2006), Ann. Glob. Anal. Geom.

  3. •I’m currently writing another paper with Sue Tolman, tentatively titled “Toric integrable geodesic flows in odd dimensions.”  I will post it here when it is ready to meet the public.

CV