My research in mathematics concerns algebraic
topology. More specifically, stable and unstable
homotopy theory, infinite loop spaces and
K-theory. I am especially interested in applying
homotopy theory to problems arising from different
areas of mathematics such as geometry, topology
and algebraic geometry and also to problems
arising in the mathematical aspects of string
theory. With this point of view, in the past few
years I have been trying to understand moduli
spaces of flat connections over surfaces and
problems in twisted K-theory and orbifold theory.
Assistant Professor. Johns Hopkins
University. July 2011-Present.
Fellow under the supervision of Alejandro
Adem. University of British Columbia.
August 2008-July 2011.
Adviser Igor Kriz. University of Michigan.
Masters of Science
in Mathematics. University of Cincinnati.
in Mathematics. Universidad Nacional de
Colombia sede Medellin. December 2002.