Thanks to the Research Stay Grant from the Universidad Católica de Temuco, I had the opportunity to carry out a rewarding research visit at the Instituto de Matemática Pura e Aplicada (IMPA) in Brazil—an internationally renowned centre for excellence in mathematical research.

During my stay, I witnessed the outstanding academic and scientific level of the institution and its vibrant research community. Spaces like IMPA not only foster cutting-edge knowledge, but also highlight the remarkable work being done by the Brazilian mathematical community on a global scale. A particularly meaningful experience was engaging with leading researchers, including Honduran mathematician Juan Ramón Madrid, a collaborator of the renowned Terence Tao. As a personal highlight, I was also able to acquire the original Portuguese edition of Cauchy’s Analyse Algébrique—a historical gem of mathematical thought.

As part of the 35th Brazilian Mathematics Colloquium, I had the honour of presenting our work during the thematic session Modelagem em Biomatemática sob Novos Olhares e Perspectivas. This participation not only allowed us to share our progress in biomathematical modelling, but also opened new doors for collaboration with researchers from Brazil and Portugal, particularly with students from the Graduate Program in Applied Mathematics at UFABC (PPGMAT-UFABC) and the University of Lisbon.

I also took part in the specialised course Theory of Hyperbolic Conservation Laws, taught by Dr. Wanderson J. Lambert and Dr. Marlon López-Flores, under the direction of Dr. Dan Marchesin from the IMPA Fluid Laboratory. One session featured a problem that took over 45 years to solve—a powerful reminder of the value of perseverance and collective effort in mathematical research.

This research stay lays the foundation for strengthening the international projection of our biomathematical modelling team, which I have the honour of leading at the Universidad Católica de Temuco. I collaborate closely with Dr. Marlon López-Flores (IME, Brazil) and Dr. Samuel Ortega-Farías (University of Talca, Chile). Together, we have established a solid research line focused on mathematical modelling applied to biological and agricultural systems—always seeking to connect mathematics with the complex challenges of the real world.