Welcome to our team

Hi! My name is Patricio Gallardo. I am an assistant professor at the University of California, Riverside. I hold a Ph.D. in Mathematics from Stony Brook University. After, I was a postdoctoral fellow at the University of Georgia in Athens and at Washington University in St Louis. My mathematical interests include algebraic geometry, singularity theory, and Hodge theory. I also co-developed software for research in moduli theory and quivers representations.

I actively mentor and involve students in my projects. My favorite writer is J. L. Borges, and my hobbies include dancing salsa. My email is pgallard at ucr.edu. My preferred pronouns are he/him/his.

Current Graduate students

Aaron Goodwin is a Ph.D. student in Mathematics at UC Riverside, working on quiver representations and their moduli space interpretation. He received his bachelor’s degree in Mathematics and Anthropology from Brandeis University.

Current undergraduate students

Juan Orellana Hernandez is a fourth-year mathematics student and a candidate for the Honors Program in Mathematics at UC Riverside. His research focuses on varieties associated with acyclic directed graphs (quivers). He is also interested in algebraic topology and category theory.

Michael Dai is a third-year mathematics student. His research focuses on constructing and classifying polytopes associated with acyclic directed graphs (quivers) and representing them in computer software. His interest includes mathematical modeling, coding and linear algebra.