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Emilio José Vilches Gutiérrez

Associate Professor

Universidad de O'Higgins

Rancagua, Chile

Líneas de Investigación


Mathematical Modeling, Differential inclusions, Optimal control, Convex analysis, Nonsmooth and Variational Analysis, Optimization.

Educación

  •  PhD in Mathematics, Université de Bourgogne. Francia, 2017
  •  PhD in Engineering Sciences, mention in Mathematical Modeling, UNIVERSIDAD DE CHILE. Chile, 2017
  •  Mathematical Engineer, UNIVERSIDAD DE CHILE. Chile, 2012
  •  Bachelor in Engineering Sciences, UNIVERSIDAD DE CHILE. Chile, 2012

Experiencia Académica

  •   Associate Professor Full Time

    Universidad de O'Higgins

    Engineering

    Rancagua, Chile

    2020 - 2023

  •   Lecturer Other

    UNIVERSIDAD DE CHILE

    Ciencias Físicas y Matemáticas

    Santiago, Chile

    2013 - 2016

  •   Assistant Professor Full Time

    Universidad de O'Higgins

    Engineering

    Rancagua, Chile

    2017 - 2020

  •   Associate researcher Part Time

    UNIVERSIDAD DE CHILE

    Engineering

    Santiago, Chile

    2018 - At present

  •   Head of Math Teacher Program Full Time

    Universidad de O'Higgins

    Rancagua, Chile

    2017 - 2019

  •   Member of the Academic Council (Consejo Académico) Full Time

    Universidad de O'Higgins

    Rancagua, Chile

    2019 - 2023

  •   PhD Student Full Time

    Université de Bourgogne

    Dijon, Francia

    2013 - 2017

  •   Full Professor Full Time

    Universidad de O'Higgins

    Engineering

    Chile

    2023 - At present

  •   Miembro del Consejo Superior Full Time

    Universidad de O'Higgins

    Chile

    2023 - At present

  •   Head of the Mathematical Modeling program Full Time

    Universidad de O'Higgins

    Engineering

    Rancagua, Chile

    2020 - 2022

  •   Head of the Master in Engineering Sciences Full Time

    Universidad de O'Higgins

    Engineering

    Rancagua, Chile

    2022 - 2023

Experiencia Profesional

  •   Project Engineer Full Time

    JRI

    Santiago, Chile

    2010 - 2012

  •   Project Engineer Full Time

    CMM

    Santiago, Chile

    2012 - 2013

  •   Consultant Part Time

    Gal&leo

    Santiago, Chile

    2013 - 2014

Formación de Capital Humano


-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. Expected on March 2024

-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. Expected on 2024
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 in 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.

-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.
Claudia Soto, Institute of Engineering Sciences, Universidad de O'Higgins. August 2023 - to date.
David Villacís, Institute of Engineering Sciences, Universidad de O'Higgins. May 2023 - to date.
Juan José Maulén, Institute of Engineering Sciences, Universidad de O'Higgins. January 2024 - to date.


Difusión y Transferencia


Event organization:

-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.
-Franco-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:
-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.


Premios y Distinciones

  •   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

  •   ICM OpenArms

    International Mathematical Union

    Chile, 2018

    Grant to attend International Conference of Mathematicians, 2018, Brazil.

  •   PhD Grant: Doctorado Nacional 2013

    Conicyt

    Chile, 2013

    Grant to pursue a Ph.D.

  •   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.

  •   Programa de Verão IMPA

    Instituto de Matemática Pura e Aplicada

    Chile, 2010

    Grant to attend summer school at IMPA.


 

Article (25)

Inner Moreau Envelope of Nonsmooth Conic Chance-Constrained Optimization Problems
Integral Functionals on Nonseparable Banach Spaces With Applications
Random Multifunctions as Set Minimizers of Infinitely Many Differentiable Random Functions
A differential equation approach to evolutionary quasi-variational inequalities arising in contact problems
Moreau-Yosida regularization of degenerate state-dependent sweeping processes
Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction
Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities.
Moreau envelope of supremum functions with applications to infinite and stochastic programming
Optimal control of an evolution hemivariational inequality involving history-dependent operators
Proximal Determination of Convex Functions
Tikhonov-like regularization of dynamical systems associated with nonexpansive operators defined in closed and convex sets
Determination of convex functions via subgradients of minimal norm
Evolution Inclusions Governed by Time-Dependent Maximal Monotone Operators with a Full Domain
On Formulae for the Ioffe Geometric Subdifferential of a Supremum Function
Well-Posedness of History/State-Dependent Implicit Sweeping Processes
A differential equation approach to implicit sweeping processes
An Enhanced Baillon–Haddad Theorem for Convex Functions Defined on Convex Sets
Existence and Lyapunov Pairs for the Perturbed Sweeping Process Governed by a Fixed Set
ON SMOOTHNESS OF SOLUTIONS TO PROJECTED DIFFERENTIAL EQUATIONS
Constrained differential inclusions with nonlocal initial conditions
Lyapunov pairs for perturbed sweeping processes
REGULARIZATION OF PERTURBED STATE-DEPENDENT SWEEPING PROCESSES WITH NONREGULAR SETS
GALERKIN-LIKE METHOD AND GENERALIZED PERTURBED SWEEPING PROCESS WITH NONREGULAR SETS
Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets
Positively alpha-Far Sets and Existence Results for Generalized Perturbed Sweeping Processes

Proyecto (9)

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
26
Emilio Vilches

Associate Professor

Engineering

Universidad de O'Higgins

Rancagua, Chile

2
Pedro Pérez

Associate Professor

Institute of Engineering Sciences

Universidad de O'Higgins

Rancagua, Chile

1
David Salas

Associate Professor

Instituto de Ciencias de la Ingeniería

Universidad de O'Higgins

Rancagua, Chile