Ayan is a PhD student in the School of Mechanical Engineering, Purdue University, since Fall 2011. He completed hisÂ undergraduate studies (B.Tech) from I.I.T., Kharagpur (Spring 2009) and subsequently received his masters (M.S.) from Georgia Tech (Spring 2011), all in mechanical engineering. His current work focuses on using random walks and spectral graph theory for understanding the multiscale structure and evolution of graphs over time. The applications include 3D shape analysis, retrieval, correspondence for geometric graphs (or manifolds) and clustering, evaluation, hierarchical community structure finding for social network graphs.