Teaching

2022

  • Visiting Lecturer, “Hamiltonian dynamics and data science” (mini-course), AIMS (African Institute for Mathematical Science), joint with University of Rwanda. Mini-course on foundations of mechanics, symplectic formalism, and applications to the study of periodic orbits, based on my recent work with Koh and Frauenfelder.

2021

  • Lecturer, “Hamiltonian dynamics and symplectic geometry” (postgraduate course), PEDECIBA, Uruguay. Online course for Masters and PhD students, taught in collaboration with Ezequiel Maderna, in Spanish. Exercise sheets are attached below (in Spanish).
Exercise sheet 1Download
exercise sheet 2Download
Exercise sheet 3Download
Exercise sheet 4Download
Exercise sheet 5Download
Exercise sheet 6Download
Exercise sheet 7Download

2020

  • Lecturer, Contact Geometry in the restricted three-body problem (postgraduate course). This is an online mini-course taught remotely from Mittag-Leffler Institute in Djursholm, Sweden, to UDELAR, Montevideo, Uruguay. Lectures available in Youtube. Lecture notes available here.

Online Mini-course

“Contact geometry in the spatial restricted three-body problem.”

3 bodies. 3 lectures. Taught from the Mittag-Leffler Institute, Djursholm, Sweden. November 2020.

Lecture 1: Introduction to the (circular, restricted) 3BP, basic concepts (Hill regions, global surface of section, return map, classic fixed-point theorems), historical remarks.
Lecture 2: open books, contact/symplectic geometry, Giroux correspondence, Contact geometry in restricted 3BP, Lefschetz fibrations.
Lecture 3: Hofer-Wysocki-Zehnder 1998 (holomorphic open books), joint work with Otto van Koert (global hypersurfaces of section in SR3BP, generalized Poincaré-Birkhoff theorem), own independent research (holomorphic dynamics: holomorphic shadow, symplectic tomographies, transverse shadow).

2019-2020

  • Tutor, Topology (undergraduate course). Augsburg Universität, Germany.
  • Tutor, Floer Homology (master’s course). Augsburg Universität, Germany.

2018-2019

  • Tutor, Enumerative Geometry and String Theory (master’s course). Augsburg Universität, Germany.
  • Teaching Assistant, Einführung in die Geometrie (undergraduate course).
    Augsburg Universität, Germany.

2014-2015

  • Teaching Assistant, MATH2101 Analysis 3: Complex Analysis (undergraduate course). University College London, UK.
  • Teaching Assistant, MATH1201 Algebra 2 (undergraduate course). University College London, UK.

2012-2013

  • Teaching Assistant, Cálculo I (undergraduate course). IMERL, Facultad de Ingeniería, Uruguay.
  • Teaching Assistant, Matemática I (undergraduate course). CMAT, Facultad de Ciencias, Uruguay.