|Office Location:||274G Physics|
|Office Phone:||(919) 660-2800|
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.