### Research interest

- Foliations on Riemannian manifolds.
- Isometric Lie group actions on Riemannian manifolds.
- Manifolds with positive/non-negative curvature.
- Closed geodesics/Immersed minimal surfaces in Riemannian manifolds.

### published articles

- Smooth basic functions
*(with R. Mendes), to appear in Transactions of the AMS (2017)*. [arXiv] - A note on the Petersen-Wilhelm Conjecture
*(with D. Gonzalez-Alvaro)*, to appear in Proc. of the AMS (2017). [arXiv] - Metrics on spheres all of whose geodesics are closed
*(with B. Wilking)*, Invent. Math. 210 (2017), no. 3, 911–962. [arXiv] - Closure of singular foliations: the proof of Molino’s Conjecture
*(with M. Alexandrino)*, Compos. Math. 153 (2017), no. 12, 2577-2590. [arXiv] - Torus orbifolds, rational ellipticity and non-negative curvature
*(with M. Kerin, F. Galaz-Garcia and M. Wiemeler)*, to appear in Int. Math. Res. Not., (2017). - Smoothness of isometric flows on orbit spaces and Molino’s conjecture
*(with M. Alexandrino)*, Transf. Groups 22 (2017), no. 1, 1–27. [arXiv] - Algebraic nature of singular Riemannian foliations in spheres
*(with A. Lytchak)*, J. Reine Ang. Math. (Crelle) (2016), DOI 10.1515/ crelle-2016-0010. [arXiv] - On homogeneous composed Clifford foliations
*(with C. Gorodski)*, Münster J. Math. 9 (2016), 35–50. [arXiv] - Mean curvature flow of singular Riemannian foliations
*(with M. Alexandrino)*, J. of Geom. Anal. 26 (2016), no. 3, 2204–2220. [arXiv] - Singular Riemannian foliations and applications to positive and nonnegative curvature
*(with F. Galaz-Garcia)*, J. Topol. 8 (2015), no. 3, 603–620. [arXiv] - Differentiable classification of 4-manifolds with singular Riemannian foliations
*(with J. Ge)*, Math. Ann. 363 (2015), no. 1-2, 525–548. [arXiv] - Clifford algebras and new singular Riemannian foliations in spheres, Geom. Funct. Anal. 24 (2014), no. 5, 1660–1682. [arXiv]
- Isometries between leaf spaces
*(with M. Alexandrino)*, Geom. Dedicata 174 (2015), no. 1, 193–201. [arXiv]

### Preprints

- Low dimensional singular Riemannian foliations in spheres. [arXiv]
- Torus actions on rationally elliptic manifolds: rank and rigidity
*(with M. Kerin and F. Galaz-Garcia)*. [arXiv] - Singular Riemannian foliations and their quadratic basic polynomials
*(with R. Mendes)*. [arXiv] - Generalized immersions and minimal hypersurfaces in compact symmetric spaces
*(with R. Mendes)*. [arXiv] - Virtual immersions, and a characterization of symmetric spaces
*(with R. Mendes)*. [arXiv] - Robust index bounds for minimal hypersurfaces of isoparametric submanifolds and symmetric spaces
*(**with R. Mendes and C. Gorodski).*[arXiv]