Curriculum Vitae

In English (to read)

Education

• • May 2008 - April 2011: Ph.D. in Mathematics, Universitetet i Bergen, Norway.

  • July 2006 - November 2007: M.Sc. in Mathematics, UTFSM, Chile.

  • 2005 - 2007: B.Sc. in Mathematics, UTFSM, Chile.

  • 2002 - 2006: B.Sc. in Mathematical Engineering, UTFSM, Chile.

Work Experience

• • January 2020 - now: Associate Professor, Universidad de la Frontera, Chile.

  • August 2015 - December 2019: Assistant Professor, Universidad de la Frontera, Chile.

  • June 2016 - now: Managing Editor "Cubo. A Mathematical Journal" (Scopus and WoS ESCI).

  • February 2014 - July 2015: Postdoc (under the supervision of A. Vasiliev, University of Bergen), Universitetet i Bergen, Norway.

  • February 2013 - January 2014: Postdoc (under the supervision of W. Bauer, University of Göttingen), University of Göttingen, Germany.

  • September 2012 - January 2013: Postdoc (under the supervision of Y. Chitour, Université Paris-Sud 11), Supélec, Université de Paris-Sud XI, France.

  • September 2011 - August 2012: Postdoc (under the supervision of U. Boscain, Dir. rech. CNRS), CMAP, École Polytechnique, France.

Grants

• • Grant #85220051 "Potenciación de la investigación en geometría compleja y sus interacciones: estudio de los grupos de automorfismos de superficies K3." Supervising researcher. Funded by the Chilean Research Council. 2023 – 2025.

  • FP #210007 “Optimización del proceso editorial y mejoramiento en la visibilidad internacional de las revistas CUBO, A Mathematical Journal y Perspectivas de la Comunicación”. Principal Investigator. Funded by the Chilean Research Council. 2021 – 2023.

  • Fondecyt #1181084 "Mathematical structures of non­holonomic systems". Principal Investigator. Funded by the Chilean Research Council. 2018 – 2022.

  • DIUFRO #DI20-0023 "Ground state space of non-abelian topological higher gauge theories". Co-investigator. Funded by Universidad de La Frontera. 2020 – 2021.

  • DIUFRO #DI17-0147 "Geometría de sistemas de control". Principal investigator. Funded by Universidad de La Frontera. 2017 – 2018.

  • FP #160016 “Creación de una unidad de gestión y difusión de revistas científicas UFRO: Incremento de indexación y posicionamiento internacional”. Associate member. Funded by the Chilean Research Council. 2017 – 2018.

  • DIUFRO #DI16-6000. Principal investigator. Funded by Universidad de La Frontera. 2016.

Students

• • M.Sc. Abraham Bobadilla (expected graduation: 2024). Working on his Ph.D. thesis about rolling semi-Riemannian manifolds and its relation to semi-Riemannian holonomy.

  • M.Sc. Diego Lagos (expected graduation: 2024). Working on his Ph.D. thesis about prolongations of nilpotent Lie algebras of step 3 (and higher).

  • Tamara Álvarez & Javiera Salazar (graduated 2019). Worked on their teacher's degree about the importance of conceptual metaphors in teaching geometry to high-school students.

  • Víctor Valdebenito (graduated 2021). Worked on his teacher's degree quantifying to which extent basic proofs in high-school mathematics classes improve their significant learning.

  • Marcos Maliqueo & Valentina Vidal (graduated 2022). Worked on their teacher's degree identifying the importance of teachers' preconceived beliefs when teaching basic geometry in rural schools.

  • Tamara Pacheco Zavaria, José Ovalle Cifuentes & Byron Duran-Vinet (graduated 2023). Worked on their teacher's degree designing gamification strategies for math classes and how they influence motivation and self-esteem when problem-solving.

  • Ignacio Álvarez Bravo (graduated 2023). Worked on his teacher's degree contextualizing geometry for middle-school students and performing a sociocultural analysis using the theory of learning styles.

Old Talks

• • March 28th, 2012: "Sub-Riemannian structures on odd dimensional spheres", Sub-Riemannian geometry seminar, Institut Henri Poincaré. Paris, France.

  • December 8th - 14th, 2011: "Rolling against a space form of negative curvature", Geometric analysis and mathematical physics, Mittag-Leffler Institute. Stockholm, Sweden.

  • June 7th - 10th, 2011: "On Hörmander’s hypoellipticity condition", Taiwan-Norway Joint Workshop on Analysis and Its Applications. Hsinchu, Taiwan.

  • March 25th, 2011: "What is a PdE? Does the lower-case matter?", PhD colloquium, Universitetet i Bergen. Bergen, Norway.

  • March 18th, 2011: "Rolling? Yes, we can! (sometimes)", PhD seminar, Universitetet i Bergen. Bergen, Norway.

  • December 15th - 18th, 2010: "Intrinsic rolling of manifolds", First Joint Meeting AMS-SOMACHI, Special session on Foliations and Dynamics. Pucón, Chile.

  • March 29th - April 2nd, 2010: “Sub-Riemannian geometry of odd-dimensional spheres”, New Trends in Sub-Riemannian Geometry. Nice, France.

  • March 26th, 2010: "Everyone can park a car (with proof)", PhD seminar, Universitetet i Bergen. Bergen, Norway.

  • December 15th - 16th, 2009: "Gentle (but quick) introduction to sub-Riemannian geometry", Taiwan- Norway Joint Workshop on Geometric Analysis and Mathematical Physics. Hsinchu, Taiwan.

  • September 3rd - 6th, 2008: "Hopf fibration and sub-Riemannian geometry of spheres", XVII International Fall Workshop on Geometry and Physics. Castro Urdiales, Spain.

Caveat Emptor: Not all the talks are up-to-date and there might be innocent mistakes (and overstatements!). I was quite young when I gave some of them, and I prefer to link to the originals.

Please feel free to complain :).