Matemática en un minuto: PageRank (2012) (In spanish)

A one minute video explaining the idea behind Google's PageRank algorithm (joint work with Elbio Castro).

Geometría hiperbólica plana (2012) (In spanish)A short (the current draft has less than 40 pages) introduction to plane hyperbolic geometry for graduate students. It covers trigonometry, Gauss-Bonnet, the Anosov property of the geodesic flow, the Tits-alternative for Fuschian groups, and the construction of Patterson-Sullivan measures.

Curso de teoría ergódica en Barranquilla (2014) (In spanish)A one week ergodic theory course consisting of 7 hour and a half lectures.

Random walks at Notre Dame (2015)A 4 lecture course about random walks on discrete structures. The notes (a preliminary version of which are available here) were later published as a chapter of the book Dynamics done with your bare hands.

Speed of random walks via Furstenberg type formulas (2017)I gave a talk at the 31st Coloquio Brasileiro about calculating/estimating the speed of certain types of random walks using methods coming from Furstenberg's theory of i.i.d. matrix products.

Curso de Cálculo (2018) (In spanish)A video lecture series on Calculus. The current version has 42 videos.