Académico del Departamento de Matemáticas / Ciencias / UChile

Associate Professor.

Departamento de Matemáticas, Facultad de Ciencias.  Universidad de Chile.

E-mail: grobledo @ uchile.cl

Phone: +56 2 9787198

Address: Departamento de Matemáticas, Facultad de Ciencias,  Universidad de Chile, Casilla 653, Las Palmeras 3425, Nuñoa, Santiago, Chile.

 Vita

Ph.D. in Sciences,  Université de Nice – Sophia Antipolis, France. (2006).

DEA (Applied Mathematics), Université de Pau, France (2002).

Ms.C. (Mathematics), Universidad de Chile (2000).

Bs.C. (Mathematics), Universidad de Chile (1998).

My profile in GoogleScholar,  Mathscinet,    ResearcherID  

Research Interests

• • Mathematical Biology: I'm studying problems arising from theoretical biology (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.

  • 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.

  • 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, Postdoctoral Student (FONDECYT Scholarship 3210132). From April 2021 to April 2024.

PhD Students

• • Juan Francisco Peña

  • David Urrutia (since 2025)

MsC 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, Mathematical Model of Competition in a Chain of Chemostats: Some Results About Coexistence and Exclusion, January 2013.

Links

• • Sociedad Matematica de Chile 

• Societé Mathematique de France

• American Mathematical Society

• The Society for Mathematical Biology

• Instituto de Filosofìa y Ciencias de la Complejidad  

• SCILAB Project  

• Encyclopedia of Mathematics

• NIST Digital Library of Mathematical Functions

• NUMDAM (French Mathematical Journals)

• EuDML   (European Digital Mathematics Library)

Invited Talks

• • The initiative for theoretical ecology (November 2025) Video 

  • Speaker in the session Recent advances in mathematical ecology and epidemiology. Mathematical Congress of the Americas, July 2025.

  • Plenary speaker at the 4th international congress of biology, chemistry and agriculture. Universidad Autonoma de Guadalajara, Guadalajara,  México, 25-27 September 2013.

  • Jornadas Matematicas de la Zona Sur, Chillan, 23 April 2015.

  • Universidad de Chile (Department of Physics) Santiago, 22 August 2015.

  • Universidad Catòlica del Maule (Faculty of Basic Sciences) Talca, 3 September 2015.

  • Encuentro Anual Sociedad Matematica de Chile, Pucon, 27  November, 2015.