Welcome

Hi! My name is Patricio Gallardo.

I am an assistant professor at the University of California, Riverside. My mathematical interests include algebraic geometry, singularity theory, and Hodge theory. However, I enjoy more interdisciplinary work, as well. My favorite writer is J. L. Borges, and my hobbies include dancing salsa. You can write to me to pgallard at ucr.edu.,

In Preparation

• Moduli space of points in the projective plane (with B. Schmidt)

• On certain families of vector-borne disease models with an arbitrary number of infected components (with J. Aguilar)

• Moduli of Horikawa surfaces (with L. Schaffler, Z. Zhang, and G. Pearlstein).

Academic work

• Algebraic and analytic compactifications of moduli spaces (with M. Kerr). This note is aimed to graduate students.

• Quivers and moduli of their thin sincere representations in Macaulay2 (with M. Barker) Submitted.

• The Fulton-MacPherson compactification is not a Mori dream space (with José Luis González, Evangelos Routis) Submitted.

• Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces (with M. Kerr and L. Schaffler) Advances in Mathematics, 381, 2021.

• Applications of the moduli continuity method to log K-stable pairs (with J. Martinez-Garcia and C. Spotti)Journal of the London Mathematical Society 103.2 (2021): 729-759.

• Moduli of cubic surfaces and their anticanonical divisors (with J. Martinez-Garcia) Revista Matematica Complutense (RMC) 32.3 (2019): 853-873

• Modular interpretation of a non-reductive Chow quotient (with N. Giansiracusa). Proceedings of the Edinburgh Mathematical Society.

• Wonderful compactifications of the moduli space of points (joint with E. Routis). European Journal of Mathematics, 3(3), 520-564.

• VGIT for pairs, a computational approach (with J. Martinez-Garcia). Proceeding of the AMS.

• Families of elliptic curves in Projective space and Bridgeland Stability (with C. Lozano-Huerta, and B. Schmidt) Michigan Mathematical Journal.

• On the GIT quotient of quintic surfaces. Transactions of the American Mathematical Society. 371 (2019), 4251-4275.

• A slice of the moduli space of lines arrangements (joint with K. Ascher) Algebra and Number theory.

• Compactifications of the moduli space of plane quartics and two lines (with Z. Zhang and J. Martinez-Garcia) European Journal of Mathematics, 2018, Volume 4, Issue 3.

• On the neighborliness of thin-sincere representations of quivers (with D. Mckenzie)