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
Since 2002 thanks to Giroux it is known that any 3-dimensional contact manifold $(M,\xi)$ can be obtained as 3-fold simple covering $f: …
We develop a method to compute the genera and slopes of essential surfaces in 2-bridge link exteriors with one longitudinal boundary …