Man

Sebastián Andrés Donoso Fuentes

Profesor Asociado

Universidad de Chile

Santiago, Chile

Líneas de Investigación


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

Educación

  •  Licenciatura en Ciencias de la Ingeniería, mención Matemática, UNIVERSIDAD DE CHILE. Chile, 2010
  •  Doctorado en Ciencias de la Ingeniería, Mención Modelación Matemática, UNIVERSIDAD DE CHILE. Chile, 2015
  •  Mathematiques, UNIVERSITÉ PARIS-EST MARNE-LA-VALLÉE. Francia, 2015
  •  Ingeniero Civil Matemático, UNIVERSIDAD DE CHILE. Chile, 2011

Experiencia Académica

  •   Postdoc Full Time

    UNIVERSIDAD DE CHILE

    Facultad de Ciencias Físicas y Matemáticas

    Santiago, Chile

    2016 - 2017

  •   Postdoc Full Time

    HEBREW UNIVERSITY OF JERUSALEM

    Einstein Institute of Mathematics

    Jerusalem, Israel

    2015 - 2016

  •   Assistant professor Full Time

    UNIVERSIDAD DE O'HIGGINS

    Instituto de Ciencias de la Ingeniería

    Rancagua, Chile

    2017 - 2019

  •   Profesor Asistente Full Time

    UNIVERSIDAD DE CHILE

    Facultas de Ciencias Físicas y Matemáticas

    Santiago, Chile

    2019 - 2024

  •   Profesor Asociado Full Time

    UNIVERSIDAD DE CHILE

    Facultad de Ciencias Físicas y Matemáticas

    Santiago, Chile

    2024 - A la fecha

Experiencia Profesional

  •   Coordinator of the MSc Program on Applied Mathematics Other

    Universidad de Chile

    Santiago, Chile

    2020 - A la fecha

  •   Coordinator of the Mathematical Engineering Program Other

    Universidad de Chile

    Santiago, Chile

    2020 - A la fecha

  •   Member of the superior council Other

    Universidad de O'Higgins

    Rancagua, Chile

    2017 - 2019

Formación de Capital Humano


* 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--)


Difusión y Transferencia


*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-.


Premios y Distinciones

  •   Beca Universidad de Chile

    UNIVERSIDAD DE CHILE

    Chile, 2005

    The "Beca Universidad de Chile" (BUCH) covers the tuition and annual fee for any undergraduate degree or program, for 100 young people of academic excellence, for the official duration of the studies.

  •   Scholarship Hijo de profesionales de la educación

    MINISTERIO DE EDUCACION

    Chile, 2005

    Scholarship to partially cover the university fee, for students whose parents are teachers or assistants of basic or secondary education, with a current contract in municipal, private subsidized or delegated administration establishments.

  •   Scholarship Beca de Excelencia académica de Universidad de Chile

    UNIVERSIDAD DE CHILE

    Chile, 2005

    This scholarship covered the fees and tuition for the first 10 admitted to the engineering career

  •   Conicyt National scholarship for graduate studies

    CONSEJO NACIONAL DE CIENCIA Y TECNOLOGIA

    Chile, 2011

    Scholarship for PhD studies

  •   CONICYT “Cotutela” Scholarship for graduate studies,

    CONSEJO NACIONAL DE CIENCIA Y TECNOLOGIA

    Chile, 2012

    Scholarship for completing a joint PhD program (U. de Chile-U. Paris-Est Marne-la-Vallée)

  •   Scholarship Ayudas de estadías cortas de investigación de la Universidad de Chile

    UNIVERSIDAD DE CHILE

    Chile, 2012

    Scholarship funding a short research stay (3 months)

  •   Scholarship Conicyt Pasantia

    CONSEJO NACIONAL DE CIENCIA Y TECNOLOGIA

    Chile, 2014

    Scholarship funding a short research stay (2 months)

  •   Peumino destacado

    I. Municipalidad de Peumo

    Chile, 2016

    Award given by the municipality to outstanding residents.

  •   Fellowship at The Einstein Institute of Mathematics,

    HEBREW UNIVERSITY OF JERUSALEM

    Israel, 2015

    Postdoctoral fellowship at The Einstein Institute of Mathematics.

  •   Chargé de Recherche Poste-Rouge

    CENTRE NATIONALE DE LA RECHERCHE SCIENTIFIQUE

    Francia, 2017

    Short stay (3 months) as a researcher in a CNRS lab.


 

Article (21)

A geometric framework for asymptoticity and expansivity in topological dynamics
AVERAGES OF COMPLETELY MULTIPLICATIVE FUNCTIONS OVER THE GAUSSIAN INTEGERS - A DYNAMICAL APPROACH
Decomposition of multicorrelation sequences and joint ergodicity
ADDITIVE AVERAGES OF MULTIPLICATIVE CORRELATION SEQUENCES AND APPLICATIONS
DIRECTIONAL MEAN DIMENSION AND CONTINUUM-WISE EXPANSIVE Z<SUP>k</SUP>-ACTIONS
Interplay between finite topological rank minimal Cantor systems, $\mathcal S$-adic subshifts and their complexity
Seminorms for multiple averages along polynomials and applications to joint ergodicity
Directional dynamical cubes for minimal Z(d)-systems
Optimal lower bounds for multiple recurrence
Pointwise convergence of some multiple ergodic averages
Pointwise multiple averages for sublinear functions
Quantitative multiple recurrence for two and three transformations
On automorphism groups of Toeplitz subshifts
Pointwise multiple averages for systems with two commuting transformations
Uniformly rigid models for rigid actions
A pointwise cubic average for two commuting transformations
On automorphism groups of low complexity subshifts
Dynamical cubes and a criteria for systems having product extensions
ENVELOPING SEMIGROUPS OF SYSTEMS OF ORDER D
Infinite-step nilsystems, independence and complexity
Joint ergodicity for functions of polynomial growth

Proyecto (8)

NONEXPANSIVENESS IN TOPOLOGICAL DYNAMICS AND APPLICATIONS
Algebraic, combinatorial and ergodic aspects of S-adic systems
Inside zero entropy systems
MatCon (Matemática Conectada)
Rutas digitales para los cursos de matemáticas del Plan Diferenciado Científico-Humanista.
CONVERGENCE AND JOINT ERGODICITY ALONG SPECIAL FUNCTIONS AND THE STUDY OF MULTIPLICATIVE ACTIONS.
Suma y Sigue Aula
STUDY OF TOPOLOGICAL STRUCTURES AND THE POINTWISE CONVERGENCE OF NON-CONVENTIONAL AVERAGES FOR COMMUTING TRANSFORMATIONS
27
Sebastián Donoso

Profesor Asociado

Departamento de Ingeniería Matemática

Universidad de Chile

Santiago, Chile

3
Alejandro Maass

Main Researcher

Center for Mathematical Modeling

Universidad de Chile

Santiago, Chile