Interaction of jamitons in continuous models of traffic flow (Burger, M., Tapia, 2025) ArXiv
Interaction of jamitons in continuous models of traffic flow (Burger, M., Tapia, 2025) ArXiv
Mentoring
Master in Applied Mathematics / Mathematical Engineering Students:
Francisco Fernández (2025-)
Leila Reyes (2025-)
Alonso Rojas (2024-)
Alvaro Márquez (2024-), joint with Álvaro Rojas (Funded by ERIS Millennium Nucleus)
Sebastián Tapia (graduated in April 2024). Now PhD Student at U. Lille and INRIA Lille.
Benjamín Tardy (graduated in April 2024), joint with Felipe Poblete.
Enzo Iubini (graduated in December 2023), joint with Tomás Andrade.
Ignacio Acevedo (graduated in August 2023), ANID Magister Fellowship. Now PhD. student at U. Paris-Saclay France.
Matías Morales (graduated in August 2023). Now PhD. student at U. Basque Country, Spain.
Nicolás Valenzuela (graduated in August 2022). Now PhD. student at U. Chile.
Javier Castro (graduated in July 2022). Now PhD. student at U. Bielefeld, Germany.
José M. Palacios (graduated in August 2018). Postdoc at U. Toronto, Canada.
PhD. Students:
Vicente Salinas (2022-) (joint with Felipe Poblete).
Nicolás Valenzuela (2023-). Google Research LatinAmerica Fellow.
Jessica Trespalacios (defended June 2024), ANID postdoc 2025-2028 at UACh.
María E. Martínez (defended November 2021), now Assistant Professor at DIM-CMM.
Christopher Maulén (defended July 2021). Postdoc at U. Bielefeld, Germany.
Postdocs:
Ricardo Freire (2023-)
Oscar Jarrín (2022), now Assistant Professor at University of the Americas, Ecuador.
Argenis Mendez (2019-2021), now Assistant Professor at UNICAMP Brazil.
Hanne Van den Bosch (2018-2019), now Assistant Professor at DIM-CMM.
Marcio Cavalcante (2017), now Assistant Professor at U. Alagoas, Brazil.
Chulkwang Kwak (2017-2020), now Assistant Professor at Ewha Womans U., S. Korea.
Fellows and Visitors:
Léo Vivion (CMM Postdoc visitor)
Matthieu Paillard (U. Lyon) June-September 2024.
Sebastián Gangas (2023-2024)
Matías Núñez (2023-2024)
Ignacio Díaz (2023)
Ky Duong Giao (2019)
Nguyen Tien Vinh (2018)
Teaching
At U. Chile
Fall 2025 Tópicos Matemáticos en Aprendizaje de Máquinas, Redes Neuronales y Aprendizaje Profundo MA5606 (w. Joaquín Fontbona)
Fall 2025 Variable Compleja MA4001
Fall 2025 Tópicos en Ecuaciones en Derivadas Parciales MA5611
Spring 2024 Ecuaciones en Derivadas Parciales MA4802 (w. Rayssa Caju)
Spring 2024 Práctica Profesional III MA6902 (TA)
Fall 2024 Seminario Avanzado de Matemáticas II MA6912 (w. Gabrielle Nornberg).
Fall 2024 Tópicos Matemáticos en Aprendizaje de Máquinas, Redes Neuronales y Aprendizaje Profundo MA5606 (w. Joaquín Fontbona)
Fall 2024 Práctica Profesional I MA4902 (TA)
Fall 2024 Práctica Profesional II MA5902 (TA)
Summer 2024 Conjeturas matemáticas: Cinco problemas sin resolver FM817
Spring 2023 Análisis MA3801
Fall 2023 Cálculo en Varias Variables MA2001
Fall 2023 Práctica Profesional I MA4902 (TA)
Fall 2023 Práctica Profesional II MA5902 (TA)
Fall 2023 Tópicos Matemáticos en Aprendizaje de Máquinas, Redes Neuronales y Aprendizaje Profundo MA5606 (w. Joaquín Fontbona)
Summer 2023 Conjeturas matemáticas: Cinco problemas sin resolver FM817
Spring 2022 Análisis MA3801
Spring 2022 Tópicos en Ecuaciones en Derivadas Parciales MA5611
Fall 2022 Análisis MA3801
Fall 2022 Práctica Profesional I MA4902 (TA)
Spring 2021 Ecuaciones Diferenciales Ordinarias MA2601
Spring 2021 Álgebra Lineal MA1102
Fall 2021 Análisis MA3801
Fall 2021 Tópicos Matemáticos en Aprendizaje de Máquinas, Redes Neuronales y Aprendizaje Profundo MA5606 (w. Joaquín Fontbona).
Fall 2020 Análisis MA3801
Fall 2020 Análisis Real I MA4230
Fall 2020 Tópicos en Ecuaciones en Derivadas Parciales MA5611
Spring 2019 Álgebra Lineal MA1102
Spring 2019 Análisis no Lineal MA5603
Spring 2019 Ecuaciones Diferenciales Ordinarias MA2601
Spring 2019 Ecuaciones en Derivadas Parciales MA4802
Spring 2018 Tópicos en Ecuaciones en Derivadas Parciales MA5611
Fall 2018 Seminario Avanzado de Matemáticas I MA6911
Fall 2018 Cálculo en Varias Variables MA2001
Spring 2017 Cálculo Avanzado y Aplicaciones MA2002
Spring 2017 Ecuaciones Diferenciales Ordinarias MA2601
Spring 2017 Tópicos en Ecuaciones en Derivadas Parciales MA5611
Fall 2017 Cálculo en Varias Variables MA2001
Fall 2017 Seminario Avanzado de Matemáticas II MA6961
Spring 2016 Seminario Avanzado de Matemáticas II MA6961
Spring 2016 Cálculo en Varias Variables MA2001
Spring 2016 Ecuaciones Diferenciales Ordinarias MA2601
Spring 2016 Tópicos en Ecuaciones en Derivadas Parciales MA5611
Spring 2015 Ecuaciones en Derivadas Parciales MA4802
Fall 2015 Cálculo en Varias Variables MA2001
Fall 2011 Ecuaciones Diferenciales Ordinarias MA2601
At U. Chicago
Spring 2013 Honors Calculus II
Fall 2012 Complex Analysis
Fall 2012 Multivariate Calculus I
Fall 2012 Honors Calculus I
Spring 2012 Honors Calculus III
Winter 2011 Honors Calculus II
Fall 2011 Mathematical Methods for Physics
Fall 2011 Honors Calculus I
For more past teaching, see Portfolio Académico (in Spanish). Some notes from AMARUN course on dispersive PDEs.
Administrative work
2022-2024 Head of Department at DIM U. Chile.
2023- Member of CMM Foundation Board of Directors.
2023 Member of UBA-Argentina Mathematics Committee for Assistant Professorship position.
2020-2022 Deputy Head of Department at DIM U. Chile.
2022 Member of FCFM Committee for 3 Assistant Professorship positions in Data Science.
2018-2020 Member of Fondecyt Mathematics Funding Board.
2016-2018 Director of Doctoral studies at DIM.
2019- CMM's administrative committee.
2021 Co-organizer of the Dispersive and PDE fluids session at CLAM 2020 (Uruguay).
2019 Co-organizer of the French Latin-American Conference on new trends in Applied Mathematics FLACAM, held in Santiago Chile.
2016 Organizing committee of the 2nd. Workshop on Nonlinear Evolution Equations in Valdivia, December 12-16 2016. (Partially funded by ERC Blowdisol, CAPDE Nucleo Milenio, CMM and EEQUADD MathAmSud Collaboration).
2016 Organizing committee at CLAM 2016 Nonlinear dispersive equations session, Colombia, July 11-15 2016.
2015 Oganizer of the PDE session at Somachi 2015.
Outreach
"Olas Mounstruo! Del Mar al Pizarrón", onsite talk at Luis Galdames Primary School (Independencia, Santiago), Explora RMN initiative (2022).
Some COVID-19 reports by CMM-USM-UDD group here.
Recent apparitions in the media (because of this paper, in collaboration with M. Kowalczyk and Y. Martel): 1, 2 , 3, 4, 5, 6, 7, y 8.