José Luis León Medina

José Luis León Medina

CONAHCYT Postdoctoral Researcher


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.

Download my CV.

  • Algebraic Topology
  • Homotopy Theory
  • Topological Complexity
  • Discrete Morse Theory
  • Applied Algebraic Topology
  • PhD in Mathematics, 2022


  • MSc in Mathematics, 2018


  • BSc in Mathematics, 2016



Mathematics Professor
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)


(2024). The rational (non-)formality of the non-3-equal manifolds. arXiv.

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(2022). On Lusternik–Schnirelmann category and topological complexity of non-k-equal manifolds. Journal of Homotopy and Related Structures.

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(2021). Linear motion planning with controlled collisions and pure planar braids. Homology, Homotopy and Applications.

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(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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