Ergodic Theory and Dynamical Systems; Symbolic Dynamics, Topological Dynamics; Combinatorics, Mathematical Education

* Direction of Master's Thesis.

1. Christopher Cabezas
Título: "Cubos dinámicos directionales para Z^d sistemas minimales ",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2018

2. Nicolás Bitar
Título: "Contribuciones al estudio de la distorsión en grupos de automorfismos",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2020

3. Bastián Espinoza
Título: "Contribución al estudio de endomorfismos de sistemas minimales de Cantor ",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2020

4. Martín Gilabert
Título: "Subshifts sobre grupos virtualmente cíclicos ",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2022

5. Vicente Saavedra
Título: "Contribuciones al estudio de promedios ergódicos aleatorios ",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2022

6. Andrés Toro
Título: "Studying the relationship of biotic and abiotic processes in the ocean biome from the point of view of genomic regulation using Mathematical Modeling and Machine Learning techniques",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2023

7. Evelyn Lorca
Título: "Modelamiento y Simulación de diffusion de agua para riego ",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2023

8. Felipe Hernández
Título: "Contribuciones al estudio del problema de Katznelson para acciones de grupos generales ",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2023

9. Nicolás Cornejo
Título: "Contribuciones al estudio de la no expansividad de acciones de grupos ",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2023

10. Tristán Radic
Título: "Contribución al estudio de la parcial rigidez de sistemas de Cantor ",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2023

11.Félix Brokering
Título: "Independencia y tameness desde una perspectiva de los nilsistemas ",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2024

12. Axel Álvarez
Título: "Aportes a la teoría algebraica de sistemas dinámicos: grupo de automorfismos virtual y extensiones proximales de nilsistemas ",
Institución: UNIVERSIDAD DE CHILE, Magíster/Master/DEA, 2024

* PhD students.
1. Melanie Sánchez (2022--)

* Postdocs:
1.Paulina Cecchi (2019-2022)
2. Haritha Ceriyath (2023--)

*Invited talks and lectures.
• Workshop on Dynamics, Numeration and Tilings, Florianopolis, November 2013.
• Workshop on Topological Dynamics and Ergodic Theory in Hefei, China, October 2014.
• Journées Annuelles Systèmes Dynamiques, Automates et Algorithmes du GDR Informatique Mathématique (SDA2-2015), Paris, April 2015 .
• Combinatorics meets ergodic theory, Banff, Canada, July 2015.
• 2nd Workshop on Combinatorics, Number Theory and Dynamical Systems, Rio de Janeiro, Brasil, August 2015.
• New developments around x2 x3 conjecture and other classical problems in Ergodic Theory, Cieplice, Poland, May 2016.
• Transversal Aspects of Tilings, Oléron, France, June 2016.
• School on Information and Randomness, Santiago, Chile, December 2016.
• Chapel Hill Ergodic Theory Workshop, Chapel Hill, USA, April 2017.
• Mathematical Congress of the Americas (symbolic dynamics special session), Montreal, Canada, July 2017.
• Encuentro Anual Sociedad Sociedad Matemática de Chile (invited subplenary talk), Talca, Chile, November 2017.
• Encuentro Anual Sociedad Sociedad Matemática de Chile (groups and dynamics special session), Talca, Chile, November 2017.
• BIRS-CMO Workshop on Symbolic Dynamical Systems, Oaxaca, Mexico, May 2019.
• DEA: Dynamics, Equations and Applications, Krakow, Poland, September 2019.
• One day online session for symbolic dynamics, May 2020.
• Algebraic and Combinatorial Invariants of Subshifts and Tilings, Marseille, France, January 2021.
* UK-Chile Frontiers of Science, March 2021.

*Event organization.
• Encuentro Anual de la Sociedad Matemática de Chile, December 2018.

* Research visits.
• Université de Picardie-Jules Verne. Host: Fabien Durand and Samuel Petite.
- February 2014;
- April–May 2015.
- April 2016.
- December 2017–February 2018 (Poste Rouge CNRS).
- December 2019–January 2020.
• Northwestern University. Host: Bryna Kra.
- March–June 2014;
- September 2015.
• University of Science and Technology of China. Host: Xiangdong Ye.
- September–December 2014.
• Hebrew University of Jerusalem. Host: Mike Hochman, Tamar Ziegler.
- January 2017.
- May 2017.
- July 2018.
• Ben-Gurion University of the Negev. Host: Tom Meyerovitch.
- May 2018.
• The Ohio State University. Host: Andreas Koutsogiannis, Wenbo Sun.
- December 2018.
• Université de Liège. Host: Julien Leroy.
- March–June 2021.

* Dissemination activities.
• Organizer Seminario "Kawiñ", a dissemination seminar in dynamical systems.
• Promotion of WIMS, an online teaching platform in mathematics.
- Workshop at Universidad de Santiago: 9 hours course to introduce teachers to WIMS. June 2019.
- Workshop at Universidad de O'Higgins: 5 hours course to introduce teachers to WIMS. July 2019.
- Talk in MakeED: "WIMS: apoyando la enseñanza de la matemática". Talk given to high school teachers about TICS, with a focus on WIMS: November 2018.
• Talk at Expofuturo, Colegio El Salvador. Talk for high school students. May 2018.
• Academic member of Campeonato Escolar de Matemática (CMAT), 2020-.