Differential Geometry
Metric Foliations
Geometric Analysis
Geometric and Differential Topology
Group Actions
Geometric Group Theory
Singular Riemannian Foliations, variational problems and Principles of Symmetric Criticalities (with Marcos M. Alexandrino, Leonardo F. Cavenaghi, and Marcelo K. Inagaki)
arXiv:2311.07058 [math.DG], in Annali di Matematica Pura ed Applicata, 2026.
Collapsing regular Riemannian foliations with flat leaves
arXiv:2403.11602 [math.DG], in Rev. Mat. Iberoam. 42, no. 1, pp. 95–122, 2026.
Myers-Steenrod theorems for metric and singular Riemannian foliations (with with Fernando Galaz-García)
arXiv:2407.03534 [math.DG], in SIGMA, vol. 21, Article 160, 2025.
A-Foliations of codimension two on compact simply-connected manifolds
arXiv:1903.07191 [math.DG], in Math. Z. 304, Article No. 63, 1-32, 2023.
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.
Integral foliated simplicial volume and circle foliations (with Caterina Campagnolo) arXiv:1910.03071 [math.GT], in J. Topol. Anal. 15, no. 1, pp. 155-184, 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.
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.
Singular Riemannian foliations and collapse
arXiv:2502.23562 [math.DG].
Ricci flow from singular spaces with bounded curvature (with Adam Moreno and Masoumeh Zarei) arXiv:2503.05896 [math.DG].
Cheeger Deformations for Lie groupoid actions arXiv:2502.01460 [math.DG].
Cohomogeneity one RCD-spaces (with Jesús Núñez-Zimbrón, and Jaime Santos-Rodríguez)
arXiv:2405.09448 [math.MG].
Juan Flores Torres (Master Degree, UNAM )
"Moduli space of bi-invariant metrics" arXiv:2305.14475 [math.DG], in Bol. Soc. Mat. Mex., vol. 30 (2), Paper No. 49, 1-17 2024.