Associate Professor
Departamento de Matemáticas
Facultad de Ciencias
Universidad de Chile
E-mail: grobledo @ uchile . cl
Phone: (+56) 2 2978 7198
Address: Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Las Palmeras 3425, Ñuñoa, Santiago, Chile.
Prior I held postdoctoral positions at Université Catholique de Louvain under the supervision of Prof. Georges Bastin and at Technion Israel Institute of Technology with Prof. Leonid Mirkin. I got my PhD in Sciences from Université de Nice - Sophia Antipolis in 2006, advised by Prof. Jean Luc Gouzé.
Research Interests
Non autonomous Dynamical Systems: with Alvaro Castañeda, we have been working in the study of the property of dichotomy for linear non autonomous systems, we have obtained some results about topological conjugacy and the spectra associated to the dichotomy.
Mathematical Biology: I'm studying problems arising from theoretical ecology (metapopulations, total effects in trophic networks) and bioprocesses which are described by nonautonomous differential and difference equations. In this context, I have been collaborating with Daniel Sepúlveda, Pablo Amster and Rodrigo Ramos Jiliberto.
Linear Control Theory: with Ignacio Huerta and Pablo Monzón we started to study the controllability properties for linear non autonomous systems beyond de classical Kalman's properties
My Ph.D thesis (see also here) was devoted to the mathematical modeling of the competitive exclusion in a special type of bioreactor (the chemostat) and the introduction of feedback control laws in order to avoid the exclusion and promote the coexistence of two species. I worked under the supervision of Prof. Jean-Luc Gouzé (see also here).
Postdoctoral Students
Heli Elorreaga, (FONDECYT Scholarship 3240354) since April 2024.
Claudio Gallegos, (FONDECYT Scholarship 3220147) From April 2022 to March 2025.
Ignacio Huerta, (FONDECYT Scholarship 3210132). From April 2021 to April 2024.
PhD Students
Ricardo Torres Naranjo
Juan Francisco Peña
David Urrutia (since 2025)
Master Students
David Urrutia, Algunos resultados de derivabilidad para el Homeomorfismo de Lin , December 2023.
Nicolás Pinto, Some localization results for Bohl Exponents in Difference Equations, January 2020.
Pablo González López, Almost Periodic Function on Ordinary Differential Equations and Favard Theory, December 2018 (coadvisor).
Guillermo Contreras, Modelo matemático de competición en una cadena de chemostatos : algunos resultados de coexistencia y exclusión, January 2013.
Organizational activities
Scientific Committee of 9° Workshop de Modelamiento Matemático de Sistemas Biológicos . Universidad Tecnológica Metropolitana. January 2026.
Organizer Committee of Conference on Ordinary & Functional Differential Equations. Celebrating the life and legacy of Manuel Pinto. November 2025.
Coorganizer of the Session Qualitative Theory of Ordinary Differential Equations, Annual Meeting of the Chilean Mathematical Society, December 2023.
Coorganizer of the Session Qualitative Theory of Ordinary Differential Equations. Annual Meeting of the Chilean Mathematical Society, December 2021.
Coorganizer of the session Functional Differential Equations and its Applications. CLAM, September 2021.
Invited Talks
Speaker in the webinar The initiative for theoretical ecology, November 2025.
Speaker in the session Recent advances in mathematical ecology and epidemiology. MCA 25 Mathematical Congress of the Americas, July 2025. Miami FL-USA.
Speaker in the International Workshop of Differential Equations and Mathematical Biology (to honor the 60th birthday of Professor Shigui Ruan) International Workshop of Differential Equations and Mathematical Biology (to honor the 60th birthday of Professor Shigui Ruan), November 2024, Coral Gables FL, USA.
Speaker at the session Functional Differential Equations. CLAM Congreso Matemático de América Latina y el Caribe, August 2024. Joao Pessoa - Brazil.
Speaker at the EMyB 2023 Encuentro de Matemáticas y Biología, April 2023, Buenos Aires - Argentina.
Speaker at the session Functional Differential Equations. Summer Meeting ICMC, February 2023. Sao Carlos - Brazil.
Speaker at the session Functional Differential Equations. MCA 21 Mathematical Congress of the Americas, July 2021. Online.
Speaker at the session Differential Equations. SUMA 2019, Joint Meeting Argentinian Mathematical Union & Chilean Mathematical Society. September 2019. Mendoza - Argentina.