I am a PhD student in mathematics at CUNY Graduate Center. My advisor is Dennis Sullivan. These days I've been thinking and learning about string topology, rational homotopy theory, and about applications of the homotopy theory of algebraic structures to problems in topology and geometry.
In my PhD thesis I study the relationship between geometrically defined operations on the homology of the free loop space of a manifold and the algebraic structure of the Hochschild co/homology of Frobenius algebras.
You can contact me at mrivera2 at gc.cuny.edu
My office in CUNY Graduate Center is 4214.06.
My office in Hunter College is 924HE.
I also spend a lot of time at Stony Brook Mathematics Department and at Simons Center for Geometry and Physics.
For the Math 255.02 (Spring 2014) at Hunter College course website click here.