CMM hosts the 3rd Symposium on Partial Differential Equations and Number Theory

The Center for Mathematical Modeling (CMM) of the Faculty of Physical and Mathematical Sciences at the University of Chile hosted the Third Symposium on Partial Differential Equations (PDEs) and Number Theory (NT) —an international meeting that brought together researchers from various countries to advance the study and exchange of knowledge in both fields.

A space for international collaboration

Held from October 13 to 16, 2025, the symposium aimed to serve as a forum for synergistic interaction among mathematicians, fostering new avenues of development in the study of partial differential equations and number theory.

“The symposium gathered researchers from across the world to discuss new, cutting-edge topics in PDEs and number theory. It was a unique opportunity to share results that are not typically presented at traditional conferences, while also allowing our students to learn advanced international techniques in areas rarely explored in Chile. Moreover, it enabled us to establish strong, synergistic relationships with international researchers that will be key to future collaborations,” said Professor Claudio Muñoz, Principal Investigator at the CMM.

Participation from leading universities 

The event featured representatives from universities and institutes in Chile, Brazil, Spain, the United States, England, Italy, and Peru, including the National Institute for Pure and Applied Mathematics (IMPA), the International Centre for Theoretical Physics (ICTP), the Pontifical Catholic University of Peru (PUCP), and the University of Michigan.

For the first time, the University of O’Higgins joined as a co-organizer, strengthening the CMM’s commitment to fostering collaborative science and creating new meeting points between pure and applied mathematics.

According to Prof. Claudio Muñoz, “Events like this demonstrate that Chilean mathematics can contribute both scientifically and socially at the highest international level, and that cooperation between institutions amplifies and strengthens the scientific and educational impact across the region”. 

A growing project in Latin America

The Symposium on PDEs and NT was launched in 2023 as an interdisciplinary initiative promoted by the Austral University of Chile and the University of Chile, supported by the ANID Exploratory Project “The PDE approach in two number theoretical monster problems.” The principal investigators leading this project are Professors Juan Carlos Pozo, Felipe Poblete, María Eugenia Martínez, Amalia Pizarro-Madariaga, and Claudio Muñoz, with significant contributions from Professors Eduardo Friedman, Milton Espinoza, Francisco Alegría, Felipe Gonçalves, and Felipe Linares.

The project has already trained two master’s and two doctoral students, whose research is expected to make important future contributions. Since its inception, the symposium has consolidated itself as a platform for exploring new connections between different areas of mathematics and for promoting research networks throughout Latin America.

Each edition has brought together academics, early-career researchers, and students for lectures, minicourses, and scientific activities addressing frontier topics—such as the links between PDEs and unresolved problems related to the Riemann zeta function or the Collatz conjecture.

👉 “Visit the official symposium website here.

Written by Cintia Beltrán, CMM Communications

Posted on Nov 3, 2025 in News