Preprints:
Algebraic Geometry
- Non-linear
bi-algebraic curves and surfaces in moduli spaces of Abelian
differentials, joint with Bertrand
Deroin.
Preprint
2023.
Dynamical
Systems
- Arithmeticity
of the Kontsevich--Zorich monodromies of certain families of
square-tiled surfaces II, joint with Manuel
Kany.
Preprint
2023.
Dynamical
Systems and Number Theory
- On
the graph of the dimension function of the Lagrange and Markov spectra,
joint with Carlos
Gustavo Moreira and Polina
Vytnova.
Preprint
2022.
Dynamical
Systems and Number Theory
- New
gaps on the Lagrange and Markov spectra, joint with Luke
Jeffreys and Carlos
Gustavo Moreira.
Preprint
2022.
Dynamical
Systems
- 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.
Dynamical
Systems
- 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.
Dynamical
Systems
- Polynomial
decay of correlations for nonpositively curved surfaces,
joint with Yuri
Lima and Ian Melbourne. Preprint
2021.
Dynamical
Systems
- Non-planarity
of \(SL(2,\Bbb{Z})\)-orbits of origamis in \(\mathcal{H}(2)\),
joint with Luke
Jeffreys. Preprint
2021.
Dynamical
Systems
- Palis'
conjectures: a quest for a global qualitative view of most dynamical
systems .
Preprint
2021.
