I am a Topologist and I have worked on many problems about Knot Theory including Universality of Knots, The Kervaire conjecture, Contact manifolds, Cable knots and more. I am interested in applications of topology to other areas of knowledge, especially on Computational Linguistics.
Other areas of interest are 4-manifolds, Trisections, Khovanov Homology, Heegaard-Floer Homology, and Persistent Homology.
Visiting Assistant Professo, 2017
University of Iowa
Posdoctoral 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: …
Natural Language Processing is an area of computer science which has had a lot of success on topics like automatic translations. …
We develop a method to compute the genera and slopes of essential surfaces in 2-bridge link exteriors with one longitudinal boundary …