I'm a mathematician working at the intersection of algebraic topology, geometry, and computation.
My research focuses on applied and combinatorial topology, with current projects on parabolic arrangements, cohomology rings, and topological data analysis (TDA).

• Topology and geometry of configuration spaces and Coxeter complexes
• Computational topology and algebraic structures (DGAs, cohomology rings)
• Applied and data-driven topology (TDA, persistent homology)
• Interdisciplinary applications of mathematics in science and engineering

• Implementation of the Parabolic DGA for real parabolic arrangements (ParabolicArrangements)
• Development of computational tools for homology and intersection products in Coxeter complexes

I'm open to collaborations involving:

• Applied algebraic topology
• Computational geometry
• Mathematical modeling and data analysis

• Email: luis.leon@cimat.mx
• Website: http://personal.cimat.mx:8181/~luis.leon/

"Mathematics provides the structure; computation reveals the shape."