José Manuel Gómez Home Page

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$UBC Home Page$

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The University of British Columbia
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Research

José Manuel Gómez Guerra

Postdoctoral Fellow
Department of Mathematics
University of British Columbia
Vancouver, BC V6T 1Z2
Canada

Office: PIMS 213 (PIMS is the West Mall Annex at UBC)
Phone (604) 822 0406
Email: josmago@math.ubc.ca

Algebraic Topology Seminar

I am currently the organizer of the Algebra/Algebraic Topology seminar here at UBC. A complete schedule of talks can be found in the following link:
Topology seminar at UBC.

Research Interests

My Area of Research is Algebraic Topology, more specifically Stable homotopy theory, Infinite loop spaces theory and K-theory. I have been interested in Twisted K-theory, in particular, in finding models for non-equivariant and equivariant Twisted K-theory and possible generalizations to Orbifols. Recently, I became interested
in studying the space of commuting elements in general Lie groups.

Education

I got a PhD in Mathematics during the spring term 2008 at the University of Michigan under the direction of Igor Kriz. The title of my thesis was "Models of Twisted K-theory". Here is the link of the math department at the University of Michigan. Mathematics at U of Michigan.
I spent one year at the University of Cincinnati Fall 2003-Summer 2004. During that year I got a Masters of Science in Mathematics. Here is the link of the math department at the University of Cincinnati. Mathematics at U of Cincinnati.
I got my bachelor's degree in Mathematics at the Universidad Nacional de Colombia sede Medellin. I finished on December 2002. Here is the link of the math department at the Universidad Nacional de Colombia sede Medellin. Mathematics at UNalMed.

Publications

Cohomology of toroidal orbifold quotients. With A. Adem and A. N. Duman
Stable splittings, spaces of representations and almost commuting elements in Lie Groups. With A. Adem and F. Cohen.
Commuting elements in central products of special unitary groups. With A. Adem and F. Cohen.
On the nonexistence of higher twistings over a point for Borel cohomology of K-theory. To appear in the Journal of Geometry and Physics.
From fibered symmetric bimonoidal categories to symmetric spectra.
Stringy bundles and infinite loop space theory. With P. Hu and I. Kriz.