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Manuel Rivera My research interests revolve around understanding the algebraic topology of manifolds. In particular, I am interested in string topology, which is the study of intersection type operations in spaces of loops and paths on a manifold. The algebraic structures that arise from the geometric constructions in string topology have led me to think about homotopy theory in more general algebraic and categorical contexts. I obtained my PhD from CUNY-Graduate Center on 2015 under the supervision of Prof. Dennis Sullivan. Then I spent a year in Paris 6 as a CNRS postdoctoral researcher. I will be a joint Research Assistant Professor between University of Miami (where I will spend my fall semesters working with Prof. Katzarkov) and CINVESTAV in Mexico City (where I will spend my spring semesters working with Prof. Lupercio). I am originally from the beautiful island of Puerto Rico. |
