José Luis León Medina

CONAHCYT Postdoctoral Researcher

CIMAT-Mérida

I am a postdoctoral researcher working in the CIMAT-Mérida’s Algebraic Topology Group since 2022. My current research focuses on describing homotopical properties of complements of real subspace arrangements as well as applications of algebraic topology.

In 2022, I got my Ph. D. from the CINVESTAV research center under the supervision of Jesús González where I worked on the topological complexity of non-$k$-equal spaces, a kind of generalization of configuration spaces.

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Interests

Algebraic Topology
Homotopy Theory
Topological Complexity
Discrete Morse Theory
Applied Algebraic Topology

Education

PhD in Mathematics, 2022

CINVESTAV
MSc in Mathematics, 2018

CINVESTAV
BSc in Mathematics, 2016

BUAP

Activities

Delfín program

I will serve as a researcher host of the Delfín summer program.

GEOTOP-A conference

I worked in the local organization of the GEOTOP-A conference, Mérida, Yucatán, January 8-13, 2024.

Algebraic Topology Seminar

I participated in the CIMAT-Mérida’s Algebraic Topology Seminar, January-December, 2023.

Pares Ordenados Lecture Program

I mentored the student Cristian Fernando León Sierra (Universidad Pedagógica y Tecnológica de Colombia) in the program Pares Ordenados, August-December, 2023.

CIMAT-Mérida 2023 Summer School

I co-organized the CIMAT-Mérida Summer School, July 10-14, 2023.

Summer stays

I hosted a group of students who worked on a summer project about reflection groups: Aldair Reyes González (UNAM), José María Castilla Cochegrus (UADY), Ramsés Alejandro García Abascal Ruíz (UNAM), June-August, 2023.

Experience

Mathematics Professor

UPIITA-IPN

Feb 2020 – Jan 2022 Mexico

Courses taught:

Linear Algebra, Probability (Fall 2021)
Linear Algebra, Probability, Calculus, Vector Calculus, Differential Equations (Spring 2021)
Numerical Analysis, Calculus, Probability and Statistics for engineering, Introduction to Complex Analysis (Fall 2020)
Linear Algebra, Probability, Numerical Analysis (Spring 2020)

Publications

Jesús González, José Luis León-Medina (2024). The rational (non-)formality of the non-3-equal manifolds. arXiv.

Cite DOI

Jesús González, José Luis León-Medina (2022). On Lusternik–Schnirelmann category and topological complexity of non-k-equal manifolds. Journal of Homotopy and Related Structures.

Cite DOI

Jesús González, José Luis León-Medina, Christopher Roque-Márquez (2021). Linear motion planning with controlled collisions and pure planar braids. Homology, Homotopy and Applications.

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Jorge Aguilar-Guzmán, Jesús González, José Luis León-Medina (2020). Homotopy type of skeleta of the flag complex over a finite vector space and generalized Galois numbers. Journal of Applied and Computational Topology.

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