RESEARCH
RESEARCH INTEREST
Differential Geometry
Metric Foliations
Geometric Analysis
Geometric and Differential Topology
Group Actions
Geometric Group Theory
PUBLICATIONS
Yamabe problem in the presence of singular Riemannian Foliations (with Juan Carlos Fernández and Raquel Perales)
arXiv:2202.13109 [math.AP], in Calc. Var. Partial Differential Equations, vol. 62, Article Number: 26, (2023).Core reduction for singular Riemannian foliations and applications to positive curvature (with Adam Moreno) arXiv:2011.05303 [math.DG], in Ann. Global Anal. Geom., vol. 62, pp. 617–634, 2022.
Torus actions on Alexandrov 4-spaces (with Jesús Núñez-Zimbrón, and Masoumeh Zarei) arXiv:1902.09402 [math.DG], in J. Geom. Anal. 32, Article Number: 214, 2022.
Short survey on the existence of slices for the space of Riemannian metrics (with Jan-Bernhard Kordaß) arXiv:1904.07031 [math.DG], in Contemporary Mathematics, vol. 75, "Mexican Mathematicians in the World: Trends and Recent Contributions", pp. 65-84, 2021.
Bundles with even-dimensional spherical space form as fibers and fiberwise quarter pinched Riemannian metrics (with Martin Günther, Karla Garcia, and Jan-Bernhard Kordaß), arXiv:2004.02518 [math.GT] Proc. A. M. S., vol. 149 (12), pp. 5407-5416, 2021.
Integral foliated simplicial volume and circle foliations (with Caterina Campagnolo) arXiv:1910.03071 [math.GT], in J. Topol. Anal., 2021.
Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions (with Fernando Galaz-Garcia), arXiv:1609.06125 [math.DG] in Proc. A. M. S., vol. 148, (7), pp. 3087–3097, 2020.
PREPRINTS
A-Foliations of codimension two on compact simply-connected manifolds
arXiv:1903.07191 [math.DG].
IN PREPARATION
Smooth 2-torus actions on the 5-sphere, andnonnegative curvature (with Fernando Galaz-Garica and Martin Kerin).
Myres-Steenrod theorem for metric submetries and applications to singular Riemannian foliations (with Fernando Galaz-Garcia).