I am currently an Associate Professor at the University of Santiago of Chile and a Humboldt Research Fellowship for Experienced Researchers awarded by the prestigious Alexander von Humboldt Foundation, at the Friedrich-Alexander University Erlangen-Nürnberg in Germany, from August 1, 2023 to July 31, 2024. I hold a PhD in Mathematical Modelling and my research interest covers various aspects of Applied Mathematics as Control Theory and Inverse Problems, Optimal Control Problems, and Numerical and Discrete Analysis for Partial Differential Equations (PDE) and Non-local Differential Equations (NDE).