Hello! My name is Patricio Gallardo Candela. I am an assistant professor at the University of California, Riverside. My mathematical interests in algebraic geometry, include moduli theory and its interplay with Hodge theory and combinatorics. I am also interested in novel interactions between algebraic geometry and other fields. For example, I have co-developed software for research in quiver representations and am part of a group that studies the mathematical structure of neural networks.
I earned my Ph.D. in Mathematics from Stony Brook University. Afterward, I was a postdoctoral fellow at the University of Georgia in Athens and Washington University at St. Louis. You can reach me at pgallard at ucr.edu. My preferred pronouns are he/him/el. My CV can be found here
My research is funded by the NSF grant DMS-2316749. With Maziar Raissi, I was also awarded an OASIS Internal Funding Award (OASIS-IFA) for developing software applications that integrate Large Models, proof assistants such as Lean 4, and algebraic systems such as Macaulay2 and Oscar.
Thirty years ago, my family crossed the desert without legal documentation for a better life. I am grateful to everyone who helped them back then. I also thank all those who assist immigrants and refugees today.
Graduate and undergraduate students
Aaron Goodwin is a sixth-year Ph.D. student in Mathematics at UC Riverside. Aaron is set to graduate in Spring 2025 with a thesis on compactifying the moduli of marked plane curves.
Damla Ergodan is a Mathematics third-year Ph.D. student at UC Riverside. She is working on compactifications of the moduli space of points in the projective plane induced by Mustafin degenerations.
Working with undergraduate students is important for me. Some of my present and former students include:
Xavier Madrid (CAMP- UCR program)
Sudhir Murthy (now a PhD student at UCR), Harry Stoltz, and Mark Sandey.
Jana Fahs and Madison Juliana Oliva both graduating this year.
Jiali Li (now at UCSD).
Juan Orellana Hernandez and Kimberly Alexander (now graduate students at UCR).
Jordan Guillory (now a graduate student at SFSU).
Josiah Foster with M. Kerr at Washington University at St Louis (now a postdoc at U. of Oregon).