Office Location: | 274G Physics |
Office Phone: | (919) 660-2800 |
Email Address: |
Typical Courses Taught:
PhD (Mathematics, Expected) | Duke University | 2013 |
MS (Mathematics) | Duke University | 2010 |
BS (Mathematics with honors) | Purdue University | 2008 |
BS (Statistics) | Purdue University | 2008 |
My attention has been focused on the spectra of the Hodge Laplacians defined on simplicial complexes and how they relate to certain newly-defined isoperimetric constants and random walks. The goal is to generalize the theory of graph expansion to higher dimensions and, ultimately, to analyze the geometry of data via Laplacian eigenvalues.