I am a PhD student in mathematics at Vanderbilt University working under Ioana Suvaina. I received my B.S. in mathematics at the University of Florida where I worked to apply methods from Topological Data Analysis to fMRI data with Peter Bubenik and Mike Catanzaro (now at Iowa State). I also worked under Miklos Bona as a part of UF’s University Scholars Program to study graceful graph labelings.
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Differential Topology/Geometry, Symplectic Geometry, Kähler Geometry.
I’m interested in finding extremal metrics (metrics which are critical points of the Calabi functional) on Kähler manifolds. Recently, I have been interested in better understanding the construction of extremal metrics on non-compact manifolds. To be a little more specific, I have been interested in the construction of extremal metrics on Asymptotically Locally Euclidean (ALE) manifolds.