I completed my PhD in mathematics at CUNY Graduate Center in 2015 under the supervision of Dennis Sullivan. From 2006-2010 I was an undergraduate at MIT. From Sept 2015- Sept 2016 I was a postdoc at IMJ-PRG. I currently hold a joint Research Assistant Professorship between University of Miami and CINVESTAV. My research is in algebraic topology. Specifically, I am interested in string topology, rational homotopy theory, and in the applications of the homotopy theory of algebraic structures to problems in topology and geometry. I am also interested in the role and interaction of the above topics with non commutative geometry and with the Homological Mirror Symmetry Program. I am originally from San Juan, Puerto Rico. |