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Nestor Guillen

Associate Professor
Faculty Profile

Office: MCS 468
Phone: 512.245.3934
Home Page
Research Interest
Partial Differential Equations

I was born and raised in a town in the Venezuelan Andes known as Valera. I did my undergraduate studies in the outskirts of Caracas, at Universidad Simón Bolívar, where my mentor was Lázaro Recht. In 2006, I moved to slightly warmer weather in Austin, Texas, where I did my graduate studies with Prof. Luis Caffarelli at the University of Texas

Since then I have spent time as a visitor at the Mathematical Sciences Research Institute in Berkeley and at the Fields Institute in Toronto (in 2010 and 2014, respectively), and the 3 years in between as a postdoc at UCLA, where I worked with Inwon Kim. After 5 wonderful years at UMass Amherst I moved back to Texas when I joined Texas State in 2019. 

Broadly speaking, my research interests lie within the analysis of partial differential equations. Such equations arise all throughout mathematics, science, and engineering. I am in particular interested in equations modeling diffusion processes as well as equations modeling optimal configurations of continuous objects -- in practice this often means I work with people who come from areas like mathematical physics, geometry, and optimization.