I am mainly interested on low-dimensional dynamics, cohomological aspects of dynamical systems, (partially) hyperbolic dynamics and small denominators phenomena (KAM theory)

*“Livsic theorem for diffeomorphism cocycles”*(2017). Joint with Artur Avila and Xiao-Chuan Liu [ArXiv]*“Rotational deviations and invariant pseudo-foliations for periodic point free torus homeomorphisms”*(2017). Joint with Fernanda Pereira Rodrigues [ArXiv]*“On the dynamics of minimal homeomorphisms of**T2 which are not pseudo-rotations*” (2016) [ArXiv]

*“Structural stability of the inverse limit of endomorphisms”.*Accepted in**Annales de l’Institut Henri Poincaré – Analyse Non Linéaire**(2015). Joint with Pierre Berger [Journal] [ArXiv]*“On first integrals of the geodesic flow on Heisenberg nilmanifolds”.***Differential Geometry and its Applications**(2016), 49, 496–509. Joint with Gabriela Ovando and Silvio Reggiani [Journal] [ArXiv]- “
*Livsic theorem for low-dimensional diffeomorphism cocycles*“.**Commentarii Mathematici Helvetici**(2016), 91, 39-64. Joint with Rafael Potrie [Journal] [ArXiv] - “
*Cohomology of dominated diffeomorphism-valued cocycles over hyperbolic systems*“.**Ergodic Theory & Dynamical Systems**(2016), 36, 1703-1722. Joint with Lucas Backes [Journal] [ArXiv] - “
*On manifolds supporting distributionally uniquely ergodic diffeomorphisms*“.**Journal of Differential Geometry**(2015), 99, 191-213. Joint with Artur Avila and Bassam Fayad [Journal] [ArXiv] *“On cohomological C0-(in)stability”.***Bulletin of the Brazilian Mathematical Society**(2013), 44, pp. 489-495 [Journal] [ArXiv]- “
*Cohomological equations and invariant distributions for minimal circle diffeomorphisms*“.**Duke Mathematical Journal**(2011), 158, pp. 501-536. Joint with Artur Avila [Journal] [ArXiv] *“Cohomologically rigid vector fields: the Katok conjecture in dimension 3”.***Annales de l’Institut Henri Poincaré – Analyse Non Linéaire**(2009), 26, pp. 1165-1182 [Journal] [ArXiv]*“A mixing-like property and inexistence of invariant foliations for minimal diffeomorphisms of the 2-torus”.***Proceedings of the American Mathematical Society**(2009), 137, pp. 3379-3386. Joint with Andrés Koropecki [Journal] [ArXiv]*“Free curves and periodic points for torus homemorphisms”.***Ergodic Theory & Dynamical Systems**(2008), 28, pp. 1895-1915. Joint with Andrés Koropecki [Journal] [ArXiv]