• 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).


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


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


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


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