# Habilitation (HDR):

Dynamical Systems and Ergodic Theory
1. Quelques contributions à la théorie de l'action de $$SL(2,\mathbb{R})$$ sur les espaces de modules de surfaces plates. This memoir (in english) is my Habilitation, Université Paris 13 (2016).

# Expository Articles:

Dynamical Systems and Number Theory
1. The rich geometry of the Lagrange and Markov spectra, article published in the series Séminaire et Congrès, vol. 33, 155-164, Société Mathématique de France (2019).
2. Dynamical Systems and Number Theory
3. The Lagrange and Markov spectra from the dynamical point of view, article written for the book Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics, CIRM Jean-Morlet Chair Subseries, Fall 2016, Lect. Notes Math. 2213,  259-291, Springer Verlag (2018).
4. Dynamical Systems and Geometry
5. Lecture notes on the dynamics of the Weil-Petersson flow, article written for the book Ergodic theory and negative curvature, CIRM Jean-Morlet Chair Subseries, Fall 2013, B. Hasselblatt ed, Lect. Notes Math. 2164,  209-291, Springer Verlag (2017).
6. Dynamical Systems and Geometry
7. Ergodicity of Geodesic Flows on Incomplete Negatively Curved Manifolds, joint with Keith BurnsHoward Masur  and  Amie Wilkinson,   article written for the book Ergodic theory and negative curvature, CIRM Jean-Morlet Chair Subseries, Fall 2013, B. Hasselblatt ed, Lect. Notes Math. 2164,  175-208, Springer Verlag (2017).
8. Dynamical Systems and Ergodic Theory
9. Variations of Hodge structures, Lyapunov exponents and Kontsevich’s formula , appendix of the book Gauss-Manin Connection in Disguise: Calabi-Yau Modular Forms, written by Hossein MovasatiSurveys of Modern Mathematics, vol. 13  (April 2017).
10. Math Blogs
11. Les blogs : un outil dynamique de communication en mathématiques, article written for the journal  Gazette des Mathématiciens (Publication of the French Mathematical Society), vol.148, p. 46-50 (April 2016).
12. Dynamical Systems and Ergodic Theory
13. A criterium for the simplicity of Lyapunov exponents of origamis, joint with Martin Möller  and  Jean-Christophe Yoccoz Oberwolfach Reports, vol. 10, p. 1975–2033 (2013).
14. Dynamical Systems and Ergodic Theory
15. Fractal geometry of non-uniformly hyperbolic horseshoes , Proceedings of the Ergodic Theory workshops at University of North Carolina at Chapel Hill, p. 197-240 (2011-2012).
16. Dynamical Systems and Ergodic Theory
17. Le flot géodésique de Teichmüller et la géométrie du fibré de Hodge , Actes du Séminaire de Théorie Spectrale et Géométrie of the Institut Fourier in Grenoble, vol. 29, p. 73-95 (2010-2011).
18. Dynamical Systems and Ergodic Theory
19. On the neutral Oseledets bundle of Kontsevich-Zorich cocycle over certain cyclic covers , joint with Giovanni Forni  and  Anton Zorich,  Oberwolfach Reports, vol. 8,  p. 1361–1427 (2011).
20. Dynamical Systems and Ergodic Theory
21. $$C^1$$density of hyperbolicity for Benedicks-Carleson toy models, joint with C. G. Moreira and E. PujalsOberwolfach Reports, vol. 6, p. 1819- 1823 (2009).
22. Dynamical Systems and Ergodic Theory
23. An example of a Teichmuller disk in genus 4 with degenerate Kontsevich-Zorich spectrum, joint with Giovanni Forni, 2008 (not intended for publication).
24. Geometry
25. O trabalho de Ennio De Giorgi sobre o problema de Plateau (in portuguese), joint with A. Arbieto and K. Oliveira,   Revista Matemática Universitária, n. 35 (december 2003), 1-29.