Nancy Rodriguez - Homepage

Welcome

I am currently a NSF Postdoctoral Research Fellow at Stanford University working with Professor Lenya Ryzhik . I did my graduate work at UCLA in applied mathematics under the guidance of Professor Andrea Bertozzi. I am interested in understanding biological and sociological phenomena using partial differential equations. In particular, for biological applications I study aggregation equations with degenerate diffusion and chemotaxis models. From the sociological point of view, I am interested in studying PDE systems that model crime patterns.

This summer I will also be co-directing the Stanford Undergraduate Research Institute in Mathematics (SURIM), which will run from June 25-August 17, 2012.

See my Curriculum Vitae.


	Published J. Bedrossian, N. Rodriguez, A. Bertozzi, Local and Global Well-posedness for an Aggregation Equation and Patlak-Keller-Segel Models with Degenerate Diffusion, Nonlinearity, Vol. 24, No. 6 (2011). N. Rodriguez, A. Bertozzi, Local Existence and Uniqueness of Solutions to a PDE Model of Criminal Behavior, M3AS, special issue on Mathematics and Complexity in Human and Life Sciences, Vol 20, Issue supp01, pp 1425--1457, 2010. A. Velo, G. Gazonas, E. Bruder, N. Rodriguez, Recursive Dispersion Relations in One-Dimensional Periodic Elastic Media, SIAM J. Appl. Math., Vol. 69, No. 3, pp 670-689. Accepted J. Bedrossian, N. Rodriguez, Inhomogeneous Patlak-Keller-Segel models and Aggregation Equations with Nonlinear Diffusion, to appear in Discrete and Continuous Dynamical Systems. N. Rodriguez, "On the Global Well-Posedness Theory for a class of PDE Models for Criminal Activity," to appear in Physical D: Nonlinear Phenomena. Submitted H. Berestycki, N. Rodriguez, L. Ryzhik, "Traveling Wave Solutions in a Reaction-Diffusion Model for Criminal Activity" , submitted to MMS.


	See my CV for a complete list of all of my invited talks. PIMS Hot Topics Workshop on Computational Criminology, Sep 19-21, 2012, Vancouver, Canada. PDEs in the social and life sciences: emerging challenges in modeling, analysis and computations, Banff International Research Station, Canada, Mar 31 - Apr 05, 2010.

Nancy Rodriguez

Stanford University
Department of Mathematics
Building 380, Sloan Hall
Stanford, CA 94305, USA

Fax: +1-(310)-206-6673

E-mail: nrodriguez at math.stanford.edu


	Fall 2011: Math 41 - Accelerated Calculus . Fall 2012: Math 51 - Linear Algebra and Multivariable Calculus.