1 | Course | Year | Term | Program | Other |
|---|---|---|---|---|---|
2 | Álgebra I (doctorado) | 2026 | Fall | Doctorado en Matemática - UChile | U-Cursos |
3 | Análisis II (teoría de medida) | 2025 | Spring | Ingeniería Matemática - USACH | Classroom |
4 | Álgebra Abstracta | 2025 | Fall | Ingeniería Matemática - USACH | Classroom |
5 | Teoría de grupos y autómatas celulares | 2025 | Fall | Doctorado en Matemática - USACH | Classroom |
6 | Análisis funcional | 2024 | Spring | Ingeniería Matemática - USACH | Classroom |
7 | Análisis II (medida + funcional) | 2024 | Spring | Doctorado en Matemática - USACH | Classroom |
8 | Análisis funcional | 2024 | Fall | Ingeniería Matemática - USACH | Classroom |
9 | Análisis II (teoría de medida) | 2023 | Spring | Ingeniería Matemática - USACH | Classroom |
10 | Grupos hiperbólicos | 2023 | Fall | Doctorado en Matemática - USACH | Classroom |
11 | Análisis I (espacios métricos) | 2023 | Fall | Ingeniería Matemática - USACH | Classroom |
12 | Análisis II (teoría de medida) | 2022 | Spring | Ingeniería Matemática - USACH | Classroom |
13 | Sistemas dinámicos y dinámica simbólica | 2022 | Fall | Magíster en Matemática - USACH | Classroom |
14 | Álgebra Abstracta | 2022 | Fall | Ingeniería Matemática - USACH | Classroom |
15 | Dinámica simbólica y problemas algorítmicos en grupos | 2021 | Spring | Doctorado en Matemática - USACH | |
16 | Análisis II (teoría de medida) | 2021 | Spring | Ingeniería Matemática - USACH | |
17 | Teoría ergódica de acciones de grupos | 2021 | Fall | Doctorado en Matemática - USACH | |
18 | Análisis I (espacios métricos) | 2021 | Fall | Ingeniería Matemática - USACH | |
19 | Álgebra III (álgebra lineal) | 2020 | Spring | Ingeniería Matemática - USACH | |
20 | Análisis I (espacios métricos) | 2020 | Fall | Ingeniería Matemática - USACH | |
21 | Differential Calculus with applications to economy and social sciences | 2018 | Winter | University of British Columbia | Webpage |
22 | Calculus III | 2018 | Winter | University of British Columbia | Webpage |
23 | Multivariable Calculus | 2018 | Summer | University of British Columbia | Webpage |
24 | Multivariable Calculus | 2017 | Winter | University of British Columbia | Webpage |
1 | Teaching Assistantship | Year | Term | Program | Extra information |
|---|---|---|---|---|---|
2 | Coloration Informatique | 2019 | Winter | Université de Bordeaux | L1 course TP: programming a game from scratch in Python |
3 | Logic | 2017 | Winter | ENS de Lyon | L3 course TD: Propositional calculus, completeness theorems, Peano artihmetic, Godel's theorems, ZFC set theory. |
4 | Optimization | 2016 | Summer | ENS de Lyon | M1 course TD: Linear optimization. |
5 | Foundations of informatics | 2016 | Summer | ENS de Lyon | L3 course TD: Regular, context free and decidable languages. Complexity theory. |
6 | C++ programming | 2016 | Winter | Université Lyon 1 | L1 course TD: Introduction to programming in C++ |
7 | Architecture | 2015 | Summer | Université Lyon 1 | L2 course TP: introduction to computer architecture |
8 | Competitive programming | 2014 | Summer | ENS de Lyon | L3 course TP: training for the ACM ICPC programming contest |
9 | Estadística computacional | 2013 | Spring | FCFM - Universidad de Chile | |
10 | Introducción a la dinámica simbólica | 2013 | Spring | FCFM - Universidad de Chile | |
11 | Combinatoria | 2013 | Fall | FCFM - Universidad de Chile | |
12 | Teoría de la información | 2013 | Fall | FCFM - Universidad de Chile | |
13 | Teoría de Juegos | 2012 | Spring | FCFM - Universidad de Chile | |
14 | Ecuaciones diferenciales ordinarias | 2011 | Fall | FCFM - Universidad de Chile | |
15 | Ecuaciones diferenciales ordinarias | 2011 | Fall | FCFM - Universidad de Chile | |
16 | Álgebra lineal | 2010 | Spring | FCFM - Universidad de Chile |
1 | Talk | Year | Month | Location | Extra information |
|---|---|---|---|---|---|
2 | Dinámica simbólica: autosimulación y extraterrestres | 2025 | June | Coloquio de matemáticas PUC | |
3 | Extraterrestrial groups | 2026 | June | Dyadisc 9, St. Valérie sur Somme, France | |
4 | Un enfoque aritmético para la construcción de embaldosados aperiódicos | 2026 | April | Coloquio las Palmeras, U. de Chile. | |
5 | Recetas de cocina para embaldosar el plano Euclidiano | 2025 | November | Pontificia universidad católica de Chile | |
6 | Computable dynamics | 2025 | November | Tata institute for fundamental research, Bangalore, India | |
7 | Percolation and cellular automata | 2025 | November | Tata institute for fundamental research, Bangalore, India | |
8 | Sofic groups | 2025 | November | Tata institute for fundamental research, Bangalore, India | |
9 | Límites inversos de subshifts efectivos | 2025 | September | Seminario de sistemas dinámicos de Santiago | |
10 | Grupos extraterrestres | 2025 | August | Seminario "compartamos lo que sabemos de grupos", UChile, Santiago, Chile | |
11 | Inverse limits of effective subshifts | 2025 | July | Dyadisc 8, Amiens, France | |
12 | The automorphism group of a strongly irreducible subshift | 2025 | July | Séminaire SymPA, Lamfa, Amiens, France | |
13 | Dinámica calculable y aplicaciones | 2025 | May | Coloquio del Departamento de Ingeniería Matemática, U. de Chile | |
14 | Cellular automata and percolation in groups | 2025 | April | Seminario de probabilidades de Chile | VIDEO |
15 | El grupo de automorfismos de un subshift | 2025 | March | Seminario de sistemas dinámicos de Santiago | |
16 | El grupo de automorfismos de un subshift | 2025 | March | Instituto de matemáticas de Talca | |
17 | Triangulaciones del cuadrado con área uniforme | 2025 | March | USACH | VIDEO |
18 | Cellular automata and percolation in groups | 2024 | December | SOMACHI | |
19 | Dos técnicas para probar teoremas en grupos | 2024 | October | Seminario "compartamos lo que sabemos de grupos", USACH, Santiago, Chile | |
20 | Embaldosados aperiódicos | 2024 | October | Coloquio DMCC, USACH | |
21 | Cellular automata and percolation in groups | 2024 | September | Seminario de sistemas dinámicos de Santiago | |
22 | Self-simulable groups | 2024 | June | Groups of Dynamical Origin workshop, Los Angeles, USA | |
23 | Soficity of free extensions of effective subshifts | 2024 | May | Dynamics on zero-dimensional spaces: new connections, Lorentz centre, Leiden, Netherlands | |
24 | Como decorar una cocina con matemáticas | 2024 | April | FUNDAPROMAT Panamá (virtual) | |
25 | Como decorar una cocina con matemáticas | 2023 | December | SOMACHI, Festival de matemáticas | |
26 | Extensiones libres de subshifts | 2023 | October | Seminario de sistemas dinámicos de Santiago | |
27 | Sturmian configurations through asymptotic pairs | 2023 | October | Brin Mathematics Research Center, Maryland, USA | |
28 | Entropía en sistemas dinámicos | 2023 | August | Jornada de postgrado, USACH, Santiago | |
29 | Self-simulable groups | 2023 | March | Dyadisc 5, Liège, Belgium (virtual) | |
30 | Pares asintóticos indistinguibles | 2022 | December | Somachi, Chile | |
31 | Self-simulable groups | 2022 | December | Group Actions: Dynamics, Measure, Topology, Munster, Germany | |
32 | Insdistinguishability and multidimensional Sturmian configurations | 2022 | November | Combinatorics on Words seminar (virtual) | |
33 | The Lanford-Ruelle theorem for actions of sofic groups | 2022 | November | UT Groups & Dynamics (virtual) | PDF VIDEO |
34 | Indistinguishability and multidimensional Sturmian configurations | 2022 | June | Dyadisc, Liège (virtual) | |
35 | Formalismo termodinámico en grupos sóficos | 2022 | May | Seminario de sistemas dinámicos de Santiago | |
36 | Pares asintóticos indistinguibles | 2022 | March | Seminario de álgebra de Guadalajara (virtual) | VIDEO |
37 | Self-simulable groups | 2021 | October | UT Groups & Dynamics (virtual) | PDF VIDEO |
38 | Effective dynamics | 2021 | September | UT Groups & Dynamics (virtual) | PDF VIDEO |
39 | Self-simulable groups | 2021 | April | Séminaire TEICH Marseille (virtual) | |
40 | Acciones calculables de grupos y su dinámica | 2020 | October | Seminario de Grupos y Geometría (virtual) | |
41 | On the relation between topological entropy and asymptotic pairs | 2020 | June | Seminario de sistemas dinámicos de Santiago (virtual) | |
42 | Topological Markov properties | 2020 | May | One day online session for symbolic dynamics (virtual) | PDF VIDEO |
43 | Sobre la relación entre entropía topológica y parejas asintóticas | 2020 | March | Coloquio UNAM, Mexico city, Mexico | VIDEO |
44 | Topological entropies of subshifts of finite type in countable amenable groups | 2019 | May | Symbolic Dynamical Systems, Oaxaca, Mexico | PDF VIDEO |
45 | The domino problem for word-hyperbolic groups | 2018 | December | Conference on Computability, Complexity and Randomness, Santiago, Chile | |
46 | The Dobrushin Lanford Ruelle theorem on steroids | 2018 | October | UBC probability seminar, Vancouver, Canada | |
47 | A strongly aperiodic SFT in the Grigorchuk group | 2018 | March | Algorithmic questions in Dynamical systems, Toulouse, France | |
48 | A strongly aperiodic SFT in the Grigorchuk group | 2017 | July | Pingree Park, Colorado, USA | |
49 | Shift spaces on groups: computability and dynamics | 2017 | June | PhD thesis defense | |
50 | Realizability of non-expansive dynamics and applications | 2017 | June | Dyadisc, Amiens, France | |
51 | Symbolic dynamics and simulation theorems | 2017 | May | Séminaire Automata IRIF, Paris, France | |
52 | Strongly aperiodic subshifts in countable groups | 2017 | April | Séminaire Ernest, Marseille, France | |
53 | Strongly aperiodic subshifts in countable groups | 2017 | March | Séminaire de combinatoire et théorie des nombres, Lyon, France | |
54 | The torsion problem for the automorphism group of a full Z^d-shift and its topological fullgroup | 2017 | March | Wandering Seminar, Wrocław, Poland | |
55 | The group of reversible Turing machines and the torsion problem for $Aut(A^{Z^d})$ and related topological fullgroups | 2016 | December | CMM, Santiago, Chile | |
56 | The domino problem for self-similar structures | 2016 | June | CIE, Paris, France | |
57 | The group of reversible Turing machines | 2016 | June | AUTOMATA, Zurich, Switzerland | |
58 | Une courte preuve de l'existence des subshifts fortement apériodiques sur les groupes dénombrables | 2016 | May | Interactions, ENS de Lyon, France | |
59 | Que pensent les mosaïques de la monotonie ? | 2016 | March | Séminaire détente matématique, ENS de Lyon, France | |
60 | A short proof of the existence of non-empty strongly aperiodic subshifts over {0,1} in countable groups | 2016 | January | Séminaire LAMA, Chambéry | |
61 | A short proof of the existence of non-empty strongly aperiodic subshifts over {0,1} in countable groups | 2015 | December | Université d'Amiens, France | |
62 | The domino problem for structures between Z and Z^2 | 2015 | November | Université Paris-Est Creteil, France. | |
63 | The domino problem for structures between Z and Z^2 | 2015 | October | University of Turku, Finland | |
64 | Subshifts in groups: From square-free words on graphs to aperiodic subshifts | 2015 | October | Séminaire Combinatoire et Algorithmes de Rouen, France | |
65 | Effectiveness and aperiodicity of subshifts | 2015 | April | Journées Calculabilitées, Fontainebleau, France | |
66 | Effectiveness in finitely generated groups | 2014 | November | LIAFA (now IRIF), Paris, France |