I am Associate Professor in the Department of Mathematical Sciences at University of Delaware. My research interests are in discrete mathematics (spectral graph theory and algebraic combinatorics), algebra, optimization, computer science and probability. As of February 13, 2019, here is my CV
Analyzing the structure of a large graph/network by brute force is not feasible. The challenge is to use a small number of parameters who capture the network shape. The eigenvalues of a graph are such parameters and although they do not completely determine a graph in general, they reveal important structural information and play fundamental roles in many instances. My research investigates when the eigenvalues determine a graph and how they relate to its structure.