I am an Assistant Professor at the Department of Mathematics at Purdue University.
From September 2015 to August 2016 I was a postdoc at Institut de Mathématiques de Jussieu- Paris Rive Gauche.
From 2006-2010 I was an undergraduate at MIT.
I am originally from San Juan, Puerto Rico.
My research is in algebraic topology. More specifically, I am interested in the applications of the homotopy theory of algebraic structures to problems in topology and geometry. This had led me to think about abstract homotopy theory in general, homological algebra, higher category theory, geometric topology, string topology, symplectic topology, among other topics.
I am also interested in sharing, discussing and developing initiatives and ideas that promote diversity in mathematics and make quality research and education accesible to all. I am particularly interested in promoting research and higher education in mathematics, as well as general mathematical culture, in Latin America and among underrepresented groups in the US.
You can contact me at manuelr at purdue.edu.
Publications and preprints:
The Tate-Hochschild complex of a cyclic A-infinity algebra,
Talk at Purdue Topology Seminar June 2020
Colloquium talk at Stony Brook University January 2019
Talk at the IAS, Princeton, NJ May 2017
Talk at "Algebraic Geometry in Mexico 2017" November 2017
Talk at "Algebraic Geometry in Mexico 2016" November 2016