I am a Topologist and I mainly work on Knot Theory, including topics as Universality of Knots, The Kervaire conjecture, Contact manifolds, Cable knots and more. I am interested in applications of topology to other areas of knowledge, specially to Computational Linguistics.
Other areas of interest are 4-manifolds, Trisections, Khovanov Homology, Heegaard-Floer Homology, and Persistent Homology.
Visiting Assistant Professor, 2017
University of Iowa
Postdoctoral Position, 2015
Center of Research in Mathematics
Ph.D. in Mathematics, 2014
National Autonomous University of Mexico