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Rene Cabrera
Postdoctoral Fellow The University of Texas at Austin Department of Mathematics Office: PMA 12.140 Email: rene.cabrera@math.utexas.edu altmail: rncabrera@utexas.edu |
I am an NSF RTG* postdoctoral instructor at the University of Texas at Austin, in the analysis of PDEs group.
My research interests include optimal transportation, partial differential equations, and calculus of variations. I have also worked on topics such as variational mean field games associated only to optimal transport, and kinetic equations.
I received my PhD from UMass Amherst in May 2022, supervised by Prof. Nestor Guillen. In my thesis I studied the Monge-Kantorovich mass transport problem using paths and congestions. In it, one of the main principles posits that a geometric shape can be rearranged to another following minimal paths in an efficient way among congestion. A more technical account of this theory can be found in my dissertation.
Before that, I was at the California State University in LA where I obtained a masters; before that at UCLA where I earned a bachelors in math.
My research interests include optimal transportation, partial differential equations, and calculus of variations. I have also worked on topics such as variational mean field games associated only to optimal transport, and kinetic equations.
I received my PhD from UMass Amherst in May 2022, supervised by Prof. Nestor Guillen. In my thesis I studied the Monge-Kantorovich mass transport problem using paths and congestions. In it, one of the main principles posits that a geometric shape can be rearranged to another following minimal paths in an efficient way among congestion. A more technical account of this theory can be found in my dissertation.
Before that, I was at the California State University in LA where I obtained a masters; before that at UCLA where I earned a bachelors in math.
