Number theory. Diophantine approximation, connections with Nevanlinna theory, connections with logic, analytic number theory.

(1) Co-supervisor (jointly with Mark Kisin) of the Undergraduate Senior Thesis "Bost's Slopes and Transcendence Theory" by Johnnie Han. Harvard University, 2018.

(2) Supervisor of the PhD Thesis of Jerson Caro, at Pontificia Universidad Catolica de Chile. Topic: Number Theory, Arithmetic Geometry. Initial year 2019. Expected final year 2022.

(1) Public lecture at the opening ceremony of the "Taller de Razonamiento Matematico" held in Santiago, Chile, April 17, 2019. Presented an outline of my work as mathematician to a group of nearly 400 students and their families.

(2) 2018-2019: Trainer of the Chilean female team for the European Giris Mathematical Olympiad held in Ukraine, April 2019. The teal obtained a Bronze medal and an Honorable Mention.

(3) Public lecture for all the finalists of the Chilean Mathematical Olympiad, December 6, 2018. Discussed my experience during my transition from school mathematical competitions to a career as profesional mathematician.

(4) Public lecture at the "Expo futuro novato" held at the Pontificia Universidad Catolica de Chile, Santiago, October 3, 2018. Explained the path to become a mathematician to a group of high school students interested in a career in science.

(5) Public lecture at "Festival de Matematicas" (Math Fest) held in Valdivia, Chile, April 28, 2018. Explained elliptic curves to a non-mathematical audience including kids and their parents.