My research interests encompass discrete geometry, combinatorics, graph theory, data analysis, and algorithm theory. I am especially drawn to problems involving the structure and properties of point sets, lines, and polytopes. While these areas are my primary focus, my curiosity often extends to related topics within these fields.
I am originally from Querétaro, Mexico, and I have also lived in San Luis Potosí, Davis, California, and now Massachusetts in the United States. 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.
