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. I also worked under Miklos Bona as a part of UF’s University Scholars Program to study graceful graph labelings.
Office Hours: Monday 12:00pm-1:00pm, Thursday 11:00am-12:00pm
Complex Geometry, Kähler Geometry, Data Science.
I’m interested in finding constant scalar curvature (cscK) metrics 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 cscK metrics on Asymptotically Locally Euclidean (ALE) manifolds.
I am also broadly interested in data science. Specifically, I’m interested in the shape of data and how we can encode the topology of data in a way that allows us to make inferences about the data through machine learning and traditional statistical tools.