My name is Nestor Guillen, I am originally from the city of Valera, in the Venezuelan Andes. I attended Universidad Simon Bolívar, where I was advised by Lazaro Recht, and later the University of Texas at Austin, where I was advised by Luis Caffarelli.
My interests are broadly in the analysis of partial differential equations, the calculus of variations, and scientific computing. More specifically, I have worked or have been working on
Regularity theory for elliptic PDE
Free boundary problems
Integro differential equations
Monge-Ampere type equations
Expository writing and random mathematical thoughts related to my research are posted sometimes in my blog. Graduate and undergraduate students interested in reading courses and research opportunities are encouraged to reach out via email.