1) Differential Inclusions & dynamical systems; 2) Game theory, bilevel optimization and variational inequalities; 3) Applied optimization to natural resources' systems (energy, water); 4) Stochastic games and applications to operational research.

PhD thesis supervision:

1) Student: Gianfranco Liberona. Program: Doctorado en Ciencias de la Ingeniería con Mención en Modelación Matemática, Universidad de Chile. 2019-2023. Description: Advisor. Defense: held on January 10th, 2023. Link: https://repositorio.uchile.cl/handle/2250/192392.

2) Student: Daniel Lasluisa. Program: Doctorado en Ciencias de la Ingeniería con Mención en Modelación Matemática, Universidad de Chile. 2019-Present. Description: Co-advisor. Defense: Preview for March 2024.

Master thesis supervision:

1) Student: Evelyn Lorca. Program: Magíster en Ciencias de la Ingeniería con Mención en Matemáticas Aplicadas, Universidad de Chile. 2021-2023. Description: Advisor. Defense: held on July, 2023.

2) Student: Javiera Gutierrez Ramirez. Program: Magíster en Ciencias de la Ingeniería con Mención en Matemáticas Aplicadas, Universidad de Chile. 2021-2023. Description: Advisor. Defense: Preview for June, 2024.

Post-doctorate supervision:

1) Researcher: Léonard von Niederhaüsern. Institutition: Centro de Modelameinto Matemático, Universidad de Chile / Instituto de Ciencias de la Ingeniería, Universidad de O’Higgins. June 2020-February 2021. Description: Supervisor on the CMM post-doctorate program.

2)Researcher: Anton Svensson. Institution: Instituto de Ciencias de la Ingeniería, Universidad de O’Higgins. 2021- Present. Description: Sponsor Researcher in the project FONDECYT post-doctorado 2021 nº3210735. "Stochasticity aspects in bilevel games and applications to water resource management".

Selected conferences:
- Latin American Workshop on Optimization and Control - LAWOC 2022. January 16th - January 20th, 2023. Rancagua, Chile [Organizing Committee]
- Workshop on Algebraic Real Geometry and Optimization - ARGO 2022. August 30th - Septemper 2nd, 2022. Santiago, Chile [Organizing Committee]
- 9th French-Chilean Meeting on Optimization - JFCO 2022. June 29th - July 1st, 2022. Perpignan, France [Organizing Committee]
- 2nd International Workshop on Variational Analysis and Applications for Modelling of Energy Exchange - VAME 2022. May 9-10, 2022. Perpignan, France [Talk]
- LXXXIX encuentro anual de la Sociedad Matem´atica de Chile. December 15-17, 2021. Rancagua, Chile [Organizing Committee]
- SIAM Conference on Optimization (OP21). July 20-23, 2021, Virtual Congress [Talk].
- 14th International Seminar on Optimization and Related Areas - ISORA. October 7-10, 2019. Líma, Perú [Talk]
- LXXXVII encuentro anual de la Sociedad Matemática de Chile. December 19-21, 2018. Rancagua, Chile [Organizing Committee, Talk]
- ISMP2018 - 23rd International Symposium on Mathematical Programming. July 1-6, 2018. Bordeaux, France. [Talk]
- International Workshop on Optimization and Variational Analysis. January 10-11, 2018. Rancagua, Chile. [Organizing Committee, Talk]
- Variational Analysis and Applications for Modelling of Energy Exchange. May 4-5, 2017. Perpignan, France. [Organizing Committee]
- Congreso Bienal de la Real Sociedad Matemática Española. January 30 - February 03, 2017. Zaragoza, Spain. [Talk]