My research interests lie in discrete and computational geometry, combinatorics, and graph theory. I am especially drawn to problems concerning convex polytopes, geometric and combinatorial partitions, point configurations, and the discrete structures that arise in geometric settings. More broadly, I am interested in the interplay between geometry, combinatorics, and algorithms: how geometric problems can be understood through their underlying combinatorial structure, and how computational methods can help explore, formulate, and test conjectures. This extends to my interest in machine learning and artificial intelligence as tools for mathematical experimentation and discovery.
I am originally from Querétaro, Mexico, and I have also lived in San Luis Potosí, Davis, California, and Massachusetts. I am currently based in Bakersfield, California, where I am a Lecturer in Mathematics at California State University, Bakersfield (CSUB). Living in different places has shaped how I understand people and environments, and has made me more attentive to cultural differences that often go unnoticed at first glance. I enjoy reading as a way to step outside my own perspective, spending time with my dogs as a form of daily grounding, and traveling whenever possible, especially when it involves experiencing cultures through their food and everyday routines rather than tourist highlights. I also have an appreciation for different forms of artistic expression, not from a technical standpoint, but from a curiosity about how people communicate meaning and emotion. I tend to value conversations that go beyond surface-level topics, where ideas are explored with honesty and some depth.
