I am Associate Professor in the Department of Mathematical Sciences at University of Delaware. I do research in spectral graph theory and algebraic combinatorics. 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.