Mathematical Texts


I am interested in metric Diophantine approximation, especially regular continued fractions, Lüroth Series and mostly Hurwitz Continued Fractions. Recently, I have also been working on dynamical aspects of such representations too.

The published versions are slightly different from the last arxiv versions. If you want a copy of the published version, don't hesitate to contact me.


Work in progress

Published mathematical communication


Notes and Expository Articles



Summer School. 4-8/07/2022. The website of the summer school «Geometría Prohibida» (Forbidden Geometry) is here. San  Luis Potosí, Mexico.
10/2021. My tals on the National Congress of the Mexican Mathematical Society are here (in Spanish): "Complex continued fractions" and "Lüroth Series".
11/03/2021. Title: "Chaos in Lüroth series". Seminario Dinámico Potosino, Universidad Autónoma de San Luis Potosí (slides in Spanish). Joint work with Rafael Alcaraz Barrera
16/02/2021. Title: "Good's Theorem for Hurwitz continued Fractions". One World Numeration Seminar. (Slides, seminar website, video)
23/10/2020. Title: Números reales con series de Lüroth con crecimiento rápido (English: Real numbers with Lüroth series of fast growth.) (sildes in Spanish, video). Congreso Nacional de la Sociedad Matemática Mexicana.

Classroom Notes

I am currently writing classroom notes for the courses "Mathematical Analysis II" and "Mathematical Analysis III". These notes are available at the courses websites.
I wrote the following notes for the class "Mathematical Analysis I" at the Facultad de Ciencias, UNAM. Comments are welcome. All of them are in Spanish.