- A finite graph is homeomorphic to the Reeb graph of a Morse–Bott function, published in Mathematica Slovaca, 2021.
- Morse–Bott functions with two critical values on a surface, published in Czechoslovak Mathematical Journal, 2021.
- Approximation of metric spaces by Reeb graphs: Cycle rank of a Reeb graph, the co-rank of the fundamental group, and large components of level sets on Riemannian manifolds, published in Filomat, 2019.
Research Experience
National Researcher of Mexico (SNI), excellence level 2 (member since 2016; current term 2025–2029).
Education
Ph.D. (mathematics)
Background
Research interests: Reeb graph topology, Reeb space topology, Topology of Morse form foliations, Topology of closed one-form foliations.