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 working on 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. 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. In collaboration with Dr. Raissi, I received an OASIS Internal Funding Award (OASIS-IFA) for developing software applications that integrate large models, proof assistants such as Lean 4, and algebraic systems like Macaulay2 Oscar.
Thirty years ago, my family crossed the desert without legal documentation in search of a better life. I am grateful to everyone who helped them during that time. I also thank all those who assist immigrants and refugees today.
Graduate and undergraduate students
Aaron Goodwin. His thesis work was on the moduli of marked plane curves. He is graduating in 2025 and going for a postdoc at Fordham afterward.
Damla Ergodan. She is working on her thesis about Mustafin's degenerations of points in the plane.
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).
