Research statement
A summary of my previous work is available here.
Publications and proceedings
- Disease surveillance on complex social networks (with J.L. Herrera, J.S. Brownstein, A. Galvani, and L.A. Meyers), preprint.
- Self-similarity in kinetic models of information-exchange processes (with Irene Gamba), preprint.
- An invariant in shock clustering and Burgers turbulence, Nonlinearity, 2012. [link] [arXiv]
- Rates of convergence for Smoluchowski's coagulation equations, SIAM J. Math. Analysis, 2011. [link] [arXiv]
- Kinetic theory and Lax equations for shock clustering and Burgers turbulence (with Govind Menon), Journal of Statistical Physics, 2010. [link] [arXiv]
- Simple models with cascade of energy and anomalous dissipation, Woods Hole Oceanographic Institution (WHOI) Technical Reports, 2005. [link]
Selected presentations
- Random thoughts on random walks: networks, centrality, and the spread of disease, Brown University, March 22, 2015. [slides]
- Kinetic and mean-field game models of information propagation, ICERM, October 18, 2011. [slides]
- Burgers turbulence, kinetic theory of shock clustering, and complete integrability, Erwin Schrödinger Institute, July 06, 2011. [slides]
- Rates of convergence for Smoluchowski's coagulation equation, SIAM PD09, December 07, 2009. [slides]
Please note that copyright on all articles resides with the publisher.