Starting August 2009, I will be a MSRI postdoctoral fellow at McGill University in Montreal.
Office Location: | 210 Physics |
Office Phone: | 919-660-2811 |
Email Address: |
PhD | Duke University | 2009 |
MA | Duke University | 2004 |
BS with Honors in the Major | University of Wisconsin | 2003 |
Current projects: GL(2,R) structures, exotic holonomies and related systems of PDE, Finsler manifolds of Randers type
I am interested in the geometry of PDE and local differential geometry, especially in the sense of Cartan.
Currently, I am studying GL(2,R) structures on manifolds, which correspond to distributions of rational normal cones. These structures arise in the context of exotic holonomies and hydrodynamic PDE. The existence of certain sub-manifolds in these structures correspond to the integrability of certain second-order PDE, and my goal is to locally classify all such integrable GL(2,R) structures.
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