Associate Professor
Department of Mathematics
Universidad Nacional de Colombia
sede Medellín
Medellín, Antioquia, Colombia
Office: 43-243
Phone:(+574) 4309000 Ext. 46312
Email: jmgomez0@unal.edu.co

Research Interests

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, spaces
of homomorphisms in Lie groups
and problems in twisted K-theory and orbifold theory.

Academic Background

Associate Profesor. Universidad
Nacional de Colombia, sede Medellín.
January 2014-Present.
J. J. Sylvester Assitant Professor. Johns Hopkins University.
July 2011-December 2013. Postdoctoral Fellow.
University of British Columbia.
August 2008-July 2011.
PhD Mathematics. Adviser Igor Kriz. University of Michigan. August 2008.
Masters of Science
Mathematics. University of Cincinnati.
September 2004.
Bachelor´s degree in Mathematics.
Universidad Nacional de Colombia, sede Medellín. December 2002.