José Luis León Medina

José Luis León Medina

CONACYT Postdoctoral Researcher


I am a postdoctoral researcher working on algebraic topology under the supervision of José Cantarero at CIMAT Mérida. My current research centers on describing the homotopical properties of some complements of hyperplane arrangements.

Previously, I got my Ph. D. from the CINVESTAV research center under the supervision of Jesús González where I worked on the topological complexity of no-$k$-equal spaces, a kind of generalization of configuration spaces.

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


  • MSc in Mathematics, 2018


  • BSc in Mathematics, 2016

    Meritorious Autonomous University of Puebla


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)


(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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