Szegö assistant professor, Department of Mathematics, Stanford University, 2011-Now.
Samelson postdoctoral fellow, Department of Mathematics, Stanford University, 2010-2011.
Postdoctoral fellow, Centre de Recerca Matemàtica, 2009-2010.
Ph.D., Department of Mathematics, University of British Columbia, 2004-2009.
B.Sc. in Mathematics, Universidad de Málaga, 2000-2004.
* For more details, click on the heading or here.
During the winter 2012 term, I am teaching MATH 215B (Complex analysis, geometry, and topology) and MATH 283 (Topics in topology: Cohomology of finite groups).
During the autumn 2011 term, I taught MATH 41 (Accelerated introduction to differential and integral calculus of functions of one variable).
During the winter 2011 term, I taught MATH 19 (Introduction to differential calculus of functions of one variable) and MATH 215B (Complex analysis, geometry, and topology).
During the autumn 2010 term, I taught MATH 41 (Accelerated introduction to differential and integral calculus of functions of one variable).
During the autumn 2008 term, I taught MATH 104 (Differential calculus with applications to commerce and social sciences) at the University of British Columbia.
Twisted K-theory for actions of Lie groupoids and its completion theorem. Mathematische Zeitschrift, Volume 268, Issue 1 (2011), 559-583.
Equivariant K-theory, groupoids and proper actions. Accepted for publication in the Journal of K-theory, DOI: 10.1017/is011011005jkt173.
Ph.D. Thesis: Equivariant K-theory, groupoids and proper actions, 2009.
Nilpotent p-local finite groups (with Antonio Viruel and Jérôme Scherer), preprint available at arXiv:1107.5158, 2011. Submitted for publication.
Unitary embeddings of p-local compact groups (with Natàlia Castellana). In preparation.
Slides from the talk Twisted K-theory and groupoids at the Cascade Topology Seminar, April 2009.
Slides from the talk The equivariant nature of groupoids at the University of Dusseldorf and the University of Munster, February 2009.
Slides from the talk Equivariant K-theory, groupoids and proper actions at the 2008 AMS Fall Western Section Meeting, October 2008.
Topology seminar.
Topology progress seminar.
My math genealogy.
My arXiv preprints.