Preprints:


    Algebraic Geometry
  1. Non-linear bi-algebraic curves and surfaces in moduli spaces of Abelian differentials, joint with Bertrand Deroin. Preprint 2023.
  2. Dynamical Systems
  3. Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces II, joint with Manuel Kany. Preprint 2023.
  4. Dynamical Systems and Number Theory
  5. On the graph of the dimension function of the Lagrange and Markov spectra, joint with Carlos Gustavo Moreira and Polina Vytnova. Preprint 2022.
  6. Dynamical Systems and Number Theory
  7. New gaps on the Lagrange and Markov spectra, joint with Luke Jeffreys and Carlos Gustavo Moreira. Preprint 2022.
  8. Dynamical Systems
  9. Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus, joint with Giovanni Forni, William Goldman and Sean Lawton. Preprint 2022.
  10. Dynamical Systems
  11. Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces, joint with Etienne Bonnafoux, Manuel Kany, Pascal Kattler, Rogelio Niño, Manuel Sedano-Mendoza, Ferrán Valdez and Gabriela Weitze-Schmithüsen. Preprint 2022.
  12. Dynamical Systems
  13. Polynomial decay of correlations for nonpositively curved surfaces, joint with Yuri Lima and Ian Melbourne. Preprint 2021.
  14. Dynamical Systems
  15. Non-planarity of \(SL(2,\Bbb{Z})\)-orbits of origamis in \(\mathcal{H}(2)\), joint with Luke Jeffreys. Preprint 2021.
  16. Dynamical Systems
  17. Palis' conjectures: a quest for a global qualitative view of most dynamical systems . Preprint 2021.