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Jesús Rodríguez Viorato

Research Professor

CONACyT - CIMAT

Biography

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.

Interests

  • Low dimensional Topology,
  • Contact Topology,
  • Topological Data Analysis,
  • Computational Linguistics

Education

  • 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

Recent & Upcoming Talks

A bound on the number of twice-punctured tori in a knot exterior

We continue a program due to Motegi regarding universal bounds for the number of non-isotopic essential n-punctured tori in the …
Sep 13, 2023 12:00 PM — 12:30 PM Puebla, México
Slides

Topology of 3-Manifolds (Spanish)

In this mini-course, we will study topological manifolds of dimension 3. These objects have been widely studied for over a hundred …

Jun 6, 2023 1:15 PM — 1:15 PM CIMAT Guanajuato, Mexico.
Day 1 Slides Day 2 Slides Day 3 Slides Day 4 Slides Day 5 Slides Day 1 Exercises Day 2 Exercises Day 3 Exercises

¿Qué es la topología en dimensión baja? El caso de los nudos fibrados

Veremos qué es y por qué se estudia la topología en dimensión baja. Así mismo veremos el caso particular de los nudos fibrados.
Dec 2, 2019 12:30 PM — 1:30 PM
Jesús Rodríguez Viorato
Slides

Existence of a transverse universal knot

We prove that there is a knot $k$ transverse to $\xi_{std}$, the tight contact structure of $S^3$, such that every contact 3-manifold …
Nov 10, 2019 8:30 AM — 9:05 AM Chengdu,China
Jesús Rodríguez Viorato
Slides

Repaso de nudos fibrados

Un nudo fibrado $K$, en una tres variedad $M$, es una curva simplemente cerrada tal que $M-F$ es una variedad fibrada por superficies. …
Oct 25, 2019 4:30 PM — 5:30 PM Monterrey, Nuevo León.
Jesús Rodríguez Viorato
Slides
See all talks

Recent Publications

Artin Presentations of the Trivial Group and Hyperbolic Closed Pure 3-Braids

We consider a special class of framed links that arise from the hexatangle. Such links are introduced in arXiv:0807.1677, which was …
Lorena Armas-Sanabria, Jesús Rodríguez Viorato, E. Fanny Jasso-Hernández
Project

A bound on the number of twice-punctured tori in a knot exterior

This paper continues a program due to Motegi regarding universal bounds for the number of non-isotopic essential n-punctured tori in …
Román Aranda-Cuevas, Jesús Rodríguez Viorato, Enrique Ramírez Losada
Preprint

String representation of trivalent 2-stratifolds with trivial fundamental group

We give a Python program that is capable of computing and printing all distinct trivalent simple connected 2-stratifold graphs (see …
Myriam Hernández-Ketchul, Jesús Rodríguez Viorato
PDF Code Dataset DOI

The existence of a universal transverse knot

We prove that there is a knot $ K $ transverse to $\xi_{std}$, the tight contact structure of $S^3$, such that every contact 3-manifold …
Jesús Rodríguez Viorato
PDF DOI

Computing Genera of Satellite Tunnel Number One Knots and Torti-rational Knots

We develop a method to compute the genera and slopes of essential surfaces in 2-bridge link exteriors with one longitudinal boundary …

M. Eudave-Muñoz, F. Manjarrez-Gutiérrez, E. Ramírez-Losada, J. Rodríguez-Viorato
PDF
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Projects

Universal knots

We say that a knot $k \subset \mathbb{S}^3$ is universal if you can obtain any compact orientable 3-manifold as a covering of $S^3$ …

Combinatorial Group Theory Seminar

The intention is to learn combinatorial group theory techniques applicable to Topology in Low Dimension.

Contact