Calculus of Variations, Partial Differential Equations, Nonlinear Analysis, Functional Analysis, Ordinary Differential Equations

Date: Jan-Mar 2024. Role: Mentor/Advisor. Project: Research grant for undergraduate students, II call summer 2024}. Student: Camilo Aliste. Research line: ``Study and implementation of hybrid methods for the computational resolution of PDE applied to Data Science''. Sponsor Institution: University of O'Higgins (UOH).

Date: Jan-Mar 2024. Role: Mentor/Advisor. Project: Research grant for undergraduate students, II call summer 2024. Student: Cristian Acevedo Rivadeneira. Research line: ``Application of variational and PDE techniques in graphs for data-clustering problems and image segmentation''. Sponsor Institution: University of O'Higgins (UOH).

Date: April 2024- April 2027. Role: Supervisor/Sponsoring Investigator of Dr. Lisbeth Carrero Zerpa. Project: ANID FONDECYT Postdoctoral Fellowship Appointment (call 2024) No. 3240062 "Existence and Periodicity results of solutions to local and nonlocal PDE of semilinear type".

Date: March 5th, 2024. Role: Thesis Committee Professor of Ivan Proano (advisor: Hernan Castro). Degree: Master in Mathematics, University of Talca (UTAL). Title: "Singular Sturm-Liouville equations".

Date: October 13th, 2023. Role: Thesis advisor of Xavier Carrera Carrasco (co-advisors Mircea Petrache, and Duvan Henao). Degree: Master in Mathematics, Pontifical Catholic University of Chile (PUC). Title: "Numerical implementation for solving a nonlocal isoperimetric problem with Riesz term". https://www.mat.uc.cl/magister-en-matematica-graduados-y-tesis.html

Date: September 29th, 2023. Role: Thesis Committee Professor of Ethan Espinoza Bustos (advisor Cristobal Quininao). Degree: Industrial Civil Engineering, University of O'Higgins (UOH). Title: "Prediction models for labor accidents through techniques of data analysis, to improve the security and productivity in division El Teniente".

*) Par Explora O'Higgins: May-Oct, 2024. Scientific advisor for ``School Research and Innovation Program'' (IIE). It promotes the development of research skills in the educational community, emphasizing questions and needs that arise from their environment and daily life. Aimed at students from 5th grade to high school senior year. Supported by the Ministry of Science, Technology, Knowledge and Innovation. Government of Chile. https://www.explora.cl/ohiggins/

*) MatesUOH is an initiative promoted by academics of the University of O'Higgins that, since 2022, offers free math courses to high school students from the O'Higgins region. (https://sites.google.com/uoh.cl/matesuoh)
Date: December, 2023. Role: Instructor of the course "RSA Encryption". Course: "Mathematics problems arising from Engineering." Contents: i) Cyber-security and its relation with two mathematical problems, ii) Intro. to Modular Arithmetic and Fundamental Theorems, iii) The RSA algorithm explained, and iv) Applications and examples of RSA encryption.

Date: October, 2022. Role: Instructor of the "Part I: Functions and Differential Calculus". Course: "Introduction to Higher Education Mathematics". Contents: i) Intro. to the concept of function. Elementary functions. Composition of functions, ii) Concept of derivative and geometric interpretation, iii) Elemental derivatives, algebra of differentiation, iv) Fermat's Theorem, and analysis of monotonicity of functions, and v) Study of optimization problems.

*) Mathematics Scholar Olympiad of the Chilean Mathematical Society (SOMACHI). Aimed at middle school and high school students. (http://www.olimpiadadematematica.cl)
Date: June - October, 2023. Role: Regional coordinator of the Olympiad for the O'Higgins region.
Date: June - October, 2022. Role: Regional coordinator of the Olympiad for the O'Higgins region.
Date: June - October, 2021. Role: Regional coordinator of the Olympiad for the O'Higgins region.