I graduated in Mathematical Engineering (applied mathematics) at Universidad de Chile in 2016, followed by a PhD in Applied Mathematics and Mathematical Modelling in the same university, which I completed in mid-2021; this was under the tutelage of Dr. Michael H. Schraudner. As part of the aforementioned PhD program, I spent six months (between 2019 and 2020) at Bielefeld University, in Germany, collaborating with Dr. Michael Baake and the Aperiodic Order group there. During the course of my undergrad and PhD, I have participated in several teaching activities, including being a lecturer at Universidad de Chile for two semesters (2020-2021).

In 2021 I joined the School of Mathematics and Statistics at the Open University as a Post-Doctoral Research Assistant, working with Dr. Reem Yassawi. I continued my employment as a PDRA at the OU until June 2023, under the supervision of Drs. Dan Rust and Ian Short, and continuing my collaboration with Dr. Yassawi (now employed at Queen Mary University of London). Afterwards, I started an ANID/FONDECYT-funded postdoctoral position at the Department of Mathematics at the Pontificia Universidad Católica de Chile, under the supervision of Dr. Raimundo Briceño.

I have recently started a new position as Assistant Profesor at the Faculty of Sciences of the Universidad de Chile, with a start date of 4 August, 2025.

My main area of research is symbolic dynamics, the study of dynamical systems constructed from infinite sequences (configurations) of symbols; by extension, my research concerns topological dynamics, ergodic theory and combinatorics on words.

I am interested in the connections of symbolic dynamics to other branches of mathematics, particularly algebra, number theory, logic and computer science. My recent research work has dealt with algebraic aspects present in certain types of symbolic dynamical systems, mostly those coming from substitutions, S-adic sequences and B-free systems. Another branch of my research concerns the relationship between general dynamical systems and the underlying algebraic structure, focusing in particular in the problem of finding a natural extension of a semigroup action and the possible applications of this construction.

I am also interested (on an amateur level) with foundational mathematics, e.g. set theory, category theory and symbolic logic.

During my time as a PDRA at the Open University and later at Universidad Católica, I have worked in developing a basic library of computational tools for my research, mostly focused on one- and two-dimensional substitution theory. These have been developed as a library for the SageMath mathematical environment; while the repository is still under construction, I hope to be able to release these tools sometime in the future.