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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.




​*Research Training Grant in Analysis of Partial Differential Equations:  analysispde.
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