Variational analysis; Optimization; Modeling and control of biological processes.

Direction of Mathematical Engineering thesis: Jose Fernandez (2009), Omar Risco (2010), Francisco Richter (2013), Maximiliano Olivares (2014), Sebastian Torres (2017), Franco Cerda (2019), Daniel Ramirez (2020).
Direction of MS in Mathematics thesis: Omar Risco (2010), Diego Vicencio (2016).
Direction of PhD in Mathematics thesis: Diego Vicencio (present)
Postdocs supervision: Francis Mairet (2011 - 2012), Hoang Nguyen Dinh (2013 - 2015), David Sossa (2014 - 2016), Matthieu Sebbah (2013 - 2017), Crisopher Hermosilla (2017-2019), Victor Riquelme (2018-2021).

TRANSFER ACTIVITIES
· 2011 - 2013: Project FIC-R Gobierno Regional Valparaiso: Estudio de herramientas cuantitativas para la recuperación sustentable de la merluza común (http://www.recuperemoslamerluza.cl/) (responsible).
· 2016 - 2017 FONIS SA15I20311: Costo efectividad del test rápido para la detección de enfermedades infecciosas en población privada de libertad: sífilis (researcher).
· 2020: COVID-19 in Chile modeling group "Modelamiento y Análisis de estrategias de mitigación para el borte de COVID-19 en Chile" (https://covid-19.cmm.uchile.cl/covid-19/ ; https://covid-19vis.cmm.uchile.cl/geo).
· 2020: Modeling task force Chile for the COVID-19 pandemic (coordination of modeling groups in the country). See last workshop organized: https://eventos.cmm.uchile.cl/4wcovid19/

INVITED LECTURES
Plenary talks (2017-2021)
· (January 2021) XI Congreso Latinoamericano de Biología Matemática (XI-SoLaBiMa) and 4to Workshop Modelamiento Matemático de Sistemas Biológicos (4ºW-MatBío), UCM-UTEM, Chile.
· (June 2020) Focusing maths of COVID-19 on South America , YouTube - Agencia FAPESP - Brazil.
· (November 2017) International Conference on Applied Mathematics and Informatics (ICAMI 2017), San Andres Island, Colombia.
· (October 2017) 13 ISORA International Seminar on Optimization and Related Areas, Lima, Peru.
· (August 2017) 4th International and Interdisciplinary Workshop on Mathematical Modeling of Environment and Evolution of Social and Life Processes (IIWEE 2017), Manizales, Colombia.

Others (2017-2021)
· (August 2019) Sixth International Conference on Continuous Optimization (ICCOPT 2019), Berlin, Germany.
· (May 2019) World Conference on Natural Resource Modeling (WCNRM 2019), Montreal, Canada.
· (September 2018) SIAM Conference on Mathematics of Planet Earth (MPE18), Philadelphia, USA.
· (July 2018) 14th Viennese Conference on Optimal Control and Dynamic Games, Vienna, Austria.
· (June 2017) World Conference on Natural Resource Modeling (WCNRM 2017), Barcelona, Spain.

EVENT ORGANZATION (2015-2021)
· (January 2021) 4to Workshop sobre modelamiento aplicado al COVID-19 en Chile: "La segunda ola y la vacunación: predicciones y desafíos".
· (September 2020) 3er Workshop sobre modelamiento aplicado al COVID-19 en Chile: "Desafíos para enfrentar un desconfinamiento seguro y evitar nuevos brotes: indicadores claves y modelos predictivos".
· (June 2020) 2do Workshop sobre modelamiento aplicado al COVID-19 en Chile.
· (April 2020) 1er Workshop sobre modelamiento aplicado al COVID-19 en Chile.
· (January 2020) 2020 World Conference on Natural Resource Modeling (WCNRM2020), Valparaiso, Chile.
· (January 2020) Modeling, Optimization and Viability for Epidemics Control (MOVECO), Santiago, Chile.
· (September 2018) SIAM Conference on Mathematics of Planet Earth (MPE18), Philadelphia, USA.
· (September 2016) 4th Franco-Chilean Workshop on Bioprocess Modeling, Santiago, Chile.
· (January 2016) Workshop on Mathematical Modeling for making decision processes in fishery management, Valparaiso, Chile.
· (December 2015) Workshop on Mathematical Modeling in Epidemiology: Applications to making decision processes in public health policies, Santiago, Chile.
· (December 2015) 2a Escuela de Control y Optimización (ECOPT 2015), Santiago, Chile.
· (October 2015) 4a Escuela del Doctorado en Matemática de Valparaiso, Valparaiso, Chile.

RESEARCH VISTIS (2017-2019)
· Centre de Recerca Matematica, Barcelona, Spain (2019).
· Centre d'Enseignement et de Recherche en MathématIques et Calcul Scientifique, École des Ponts ParisTech, France (2019).
· Simon A. Levin Mathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, USA (2018).
· Groupe de Recherche en Économie Théorique et Appliquées UMR CNRS 5113, Université de Bordeaux, France (2017, 2019).
· Departamento de Matematica, Universidad del Valle, Colombia (2017, 2018).

INTERNATIONAL COOPERATION PROJECTS (2015-2019)
· 2018 - 2019 CONICYT REDES 170059: AM2V-MobiMat Network on Modeling and Control of communicable and infectious diseases (responsible).
· 2018 - 2019 MathAmsud 18-MATH-05: Modeling, Optimization and Viability for Epidemics Control (MOVECO)- (researcher).
· 2015 - 2016 MathAmsud 15-MATH-02: Sparse Optimal Control of Differential Equations: Algorithms and Applications (responsible of the Chilean team).