Department of Applied Physical Sciences
Department of Mathematics
Carolina Center for Interdisciplinary Applied Mathematics
Social Network Analysis at Carolina
Duke Network Analysis Center
Research: My current research focuses on the mathematical and computational study of networks, developing and understanding tools for the study of real-world data. Networks appear across many academic disciplines and our group activities have included collaborations with Archeology, Biostatistics, Epidemiology, Finance, Infectious Diseases, Neuroscience, Physics, Political Science, Psychology, Public Policy, Sociology, and Statistics. With “nodes” representing actors of interest and “edges” connecting the nodes representing the relationships under study, the concept of a network can be flexibly used in many applications. Most people are familiar with the concept of a network in terms of hyperlinked web pages or online social networks. Such online networks are an area of broad interest (including some of our own work), but networks are also useful for studying a wider variety of connected systems.
Group: Our research group currently includes postdoctoral scholars Nishant Malik and Dane Taylor; graduate students Hsuan-Wei “Wayne” Lee, Joan Pharr and Simi Wang; and undergraduates Eli Bingham, Drew Cabaniss, Lauren Friedmann, Phillip Maraveyias and Patrick Short. Each is working on some aspect of the study of networks, including developments in community detection, modeling network dynamics, and collaborating with Greg Forest on model interactions in networked materials. The group also continues ongoing collaborations with a variety of graduate students from other departments and universities.
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Biographical Sketch: After a childhood spent mostly in Minnesota, I moved east to attend college at Cornell University where I majored in Engineering Physics. I then took a Churchill Scholarship to study in the Cavendish Laboratory at Cambridge with an M.Phil. in Physics. Returning to the States, I continued my studies at Princeton, leading to an M.A. and Ph.D. in Applied and Computational Mathematics. Following a postdoctoral instructorship in applied mathematics at MIT, and a tenure-track assistant professorship in Mathematics at Georgia Tech, I moved to Chapel Hill to join the Department of Mathematics and the Institute for Advanced Materials, Nanoscience and Technology (now folded into the new Department of Applied Physical Sciences) at UNC.