
Emilio José Vilches Gutiérrez
Associate Professor
Universidad de O'Higgins
Rancagua, Chile
Mathematical Modeling, Differential inclusions, Optimal control, Convex analysis, Nonsmooth and Variational Analysis, Optimization.
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PhD in Mathematics, Université de Bourgogne. Francia, 2017
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PhD in Engineering Sciences, mention in Mathematical Modeling, UNIVERSIDAD DE CHILE. Chile, 2017
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Mathematical Engineer, UNIVERSIDAD DE CHILE. Chile, 2012
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Bachelor in Engineering Sciences, UNIVERSIDAD DE CHILE. Chile, 2012
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Associate Professor Full Time
Universidad de O'Higgins
Engineering
Rancagua, Chile
2020 - 2022
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Lecturer Other
UNIVERSIDAD DE CHILE
Ciencias Físicas y Matemáticas
Santiago, Chile
2013 - 2016
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Assistant Professor Full Time
Universidad de O'Higgins
Engineering
Rancagua, Chile
2017 - 2020
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Associate researcher Part Time
UNIVERSIDAD DE CHILE
Engineering
Santiago, Chile
2018 - 2023
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Head of Math Teacher Program Full Time
Universidad de O'Higgins
Rancagua, Chile
2017 - 2019
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Member of the Academic Council (Consejo Académico) Full Time
Universidad de O'Higgins
Rancagua, Chile
2019 - 2023
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PhD Student Full Time
Université de Bourgogne
Dijon, Francia
2013 - 2017
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Full Professor Full Time
Universidad de O'Higgins
Engineering
Chile
2023 - At present
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Miembro del Consejo Superior Full Time
Universidad de O'Higgins
Chile
2023 - At present
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Head of the Mathematical Modeling program Full Time
Universidad de O'Higgins
Engineering
Rancagua, Chile
2020 - 2022
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Head of the Master in Engineering Sciences Full Time
Universidad de O'Higgins
Engineering
Rancagua, Chile
2022 - 2023
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Full Professor Full Time
Universidad de O'Higgins
Chile
2023 - At present
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Project Engineer Full Time
JRI
Santiago, Chile
2010 - 2012
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Project Engineer Full Time
CMM
Santiago, Chile
2012 - 2013
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Consultant Part Time
Gal&leo
Santiago, Chile
2013 - 2014
-Master thesis supervision:
Aldo Gutiérrez, Master in Engineering Sciences, mention in Mathematical Modeling, Universidad de Chile. Defended on September 2023
Carolina Chiu, Master in Engineering Sciences, mention in Mathematical Modeling, Universidad de Chile. Defended on September 2023
Manuel Torres, Master in Engineering Sciences, mention in Mathematical Modeling, Universidad de Chile. Defended on July 2024
Maximiliano Lioi, Master in Engineering Sciences, mention in Mathematical Modeling, Universidad de Chile. Defended on December 2024
Javier Valenzuela, Master in Engineering Sciences, mention in Mathematical Modeling, Universidad de O'Higgins. Expected on January 2026
-Ph.D. thesis supervision:
Diana Narvaez, Ph.D. program in Engineering Sciences, mention in Mathematical Modeling, Universidad de Chile. Defended on April 2022
Sergio López, Ph.D. program in Engineering Sciences, mention in Mathematical Modeling, Universidad de Chile. Defended on March 2025.
Aldo Gutiérrez, Ph.D. program in Engineering Sciences, mention in Mathematical Modeling, Universidad de Chile. Expected on 2027
Manuel Torres, Ph.D. program in Engineering Sciences, mention in Mathematical Modeling, Universidad de Chile. Expected on 2027.
-Ph.D. thesis co-supervision:
Juan Garrido, Ph.D. program in Engineering Sciences, mention in Mathematical Modeling, Universidad de Chile. Expected to 2026.
Carolina Chiu, Ph.D. program in Engineering Sciences, mention in Mathematical Modeling, Universidad de Chile. Expected to 2027.
Diego Morales, Ph.D. program in Engineering Sciences, mention in Mathematical Modeling, Universidad de Chile. Expected to 2028.
-Post-doctorate supervision:
Bao Tran Nguyen, Institute of Engineering Sciences, Universidad de O'Higgins. January 2018 - January 2020.
Gonzalo Contador, Institute of Engineering Sciences, Universidad de O'Higgins. August 2022- August 2023.
David Villacís, Institute of Engineering Sciences, Universidad de O'Higgins. May 2023 - March 2024.
Francisco Venegas, Institute of Engineering Sciences, Universidad de O'Higgins. August 2024 - August 2025.
Claudia Soto, Institute of Engineering Sciences, Universidad de O'Higgins. August 2023 - to date.
Juan José Maulén, Institute of Engineering Sciences, Universidad de O'Higgins. January 2024 - to date.
Raúl Tintaya Marcavillaca, Center for Mathematical Modelying, April 2024 - March 2026.
Event organization:
-French-Chilean Optimization Conference, Rouen, France, July 2025. Member of the scientific and organizing committee.
-1st Workshop on Continuous and Dynamic Optimization, Rancagua, December 2024. President of the scientific and organizing committee.
-4rd International Conference on Variational Analysis and Optimization, Santiago, January 2025. Member of the scientific and organizing committee.
-Chilean-Peruvian Conference on Optimization and Variational Analysis 2024, Arica, May 2024. Member of the scientific and organizing committee.
-3rd International Conference on Variational Analysis and Optimization, Santiago, January 2024. Member of the scientific and organizing committee.
-Workshop on Optimal Control and Related Fields, Valparaíso, December 2023. Member of the scientific and organizing committee.
-Nonsmooth And Variational Analysis (NAVAL) Conference, Dijon, France, June 2023. Member of the scientific and organizing committee.
-Latin American Workshop on Optimization and Control (LAWOC), Rancagua, Chile, January 2023. President of the organizing committee.
-French-Chilean Optimization Conference, Perpignan, France, July 2022. Member of the scientific and organizing committee.
-Control of State-Constrained Dynamical Systems, Valparaíso, September 2019. Member of the scientific and organizing committee.
-Annual Meeting of the Chilean Mathematical Society SOMACHI 2018, Rancagua, Chile. President of the organizing committee.
-Annual Meeting of the Chilean Mathematical Society SOMACHI 2021, Rancagua, Chile. President of the organizing committee.
-Thematic month in Variational Analysis and Game Theory, Santiago-Rancagua-Valparaíso, Chile, 2018. Member of the organizing committee.
-International Workshop on Optimization and Variational Analysis, 2018. President of the organizing committee and member of the scientific committee.
Outreach activities:
-Director of PAR Explora O'Higgins, Universidad de O'Higgins, 2024.
-Member of the scientific committee of Explora O'Higgins, Universidad de O'Higgins, 2019-2023.
-Director of the UOH Summer School, Universidad de O'Higgins, 2019-2021.
-Regional Coordinator of the 'Campeonato Escolar de Matemáticas' for the O'Higgins Region, 2018–2021."
Associate Editor of the journal "Set-Valued and Variational Analysis"
https://link.springer.com/journal/11228
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Award for excellence in teaching
Universidad de O'Higgins
Chile, 2018
Award given to the best teacher 2018 at the School of Education, Universidad de O'Higgins
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ICM OpenArms
International Mathematical Union
Chile, 2018
Grant to attend International Conference of Mathematicians, 2018, Brazil.
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PhD Grant: Doctorado Nacional 2013
Conicyt
Chile, 2013
Grant to pursue a Ph.D.
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Programa de ayuda Económica Umalca
Unión Matemática para Latinoamérica y el Caribe UMALCA
Chile, 2018
Grant to attend the Latin American Workshop in Optimization (LAWOC), Quito, Equator.
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Programa de Verão IMPA
Instituto de Matemática Pura e Aplicada
Chile, 2010
Grant to attend summer school at IMPA.
Nonsmooth Analysis in Stochastic Systems and Optimal Control Theory |
on geometric and variational properties of robust chance constrained optimization problems |
Variational Analysis in probability spaces with applications to optimal control theory |
Centro UOH de Biología de Sistemas para la Sanidad Vegetal |
A new probabilistic Paradigm for Modelling Optimal Decision-Making Processes Under Uncertainty |
From deterministic to random and stochastic sweeping processes |
Systems biology center for the study of extremophile communities from mining tailings |
GENERALIZED DIFFERENTIATION AND VARIATIONAL ANALYSIS OF PROBABILITY FUNCTIONS |
Estudio de problemas de Control Óptimo gobernados por procesos de arrastre=> Teoría y Aplicaciones |
Qualitative Properties of Nonsmooth Dynamical Systems |
VARIATIONAL ANALYSIS OF ASYMPTOTICALLY EPI-POINTED FUNCTIONS |
LYAPUNOV STABILITY FOR INFINITE-DIMENSIONAL NONLINEAR SYSTEMS AND NONSMOOTH ANALYSIS |

Cristopher Hermosilla
Profesor Asociado
Departamento de Matemática
Universidad Técnica Federico Santa María
Valparaíso, Chile

David Salas
Associate Professor
Instituto de Ciencias de la Ingeniería
Universidad de O'Higgins
Rancagua, Chile

Pedro Pérez
Associate Professor
Institute of Engineering Sciences
Universidad de O'Higgins
Rancagua, Chile