INVESTIGACIÓN

INTERESES DE INVESTIGACIÓN

  • Geometría Diferencial

  • Foliaciones Métricas

  • Análisis Geométrico


  • Topología Geométrica y Diferencial

  • Acciones de Grupos

  • Teoría Geométrica de Grupos

PUBLICACIONES

  1. Yamabe problem in the presence of singular Riemannian Foliations (with Juan Carlos Fernández and Raquel Perales), aceptado en Calc. Var. Partial Differential Equations
    arXiv:2202.13109 [math.AP].

  2. Core reduction for singular Riemannian foliations in Positive Curvature (with Adam Moreno) arXiv:2011.05303 [math.DG], aceptado in Ann. Global Anal. Geom., 2022.

  3. Torus actions on Alexandrov 4-spaces (with Jesús Núñez-Zimbrón, and Masoumeh Zarei) arXiv:1902.09402 [math.DG], en J. Geom. Anal. 32, 214, 2022.

  4. Short survey on the existence of slices for the space of Riemannian metrics (con Jan-Bernhard Kordaß) arXiv:1904.07031 [math.DG], en Contemporary Mathematics, vol. 75, "Mexican Mathematicians in the World: Trends and Recent Contributions", pp. 65-84, 2021.

  5. Bundles with even-dimensional spherical space form as fibers and fiberwise quarter pinched Riemannian metrics (con Martin Günther, Karla Garcia, y Jan-Bernhard Kordaß), arXiv:2004.02518 [math.GT] Proc. A. M. S., vol. 149, (12), pp. 5407-5416, 2021.

  6. Integral foliated simplicial volume and circle foliations (con Caterina Campagnolo) arXiv:1910.03071 [math.GT], J. Topol. Anal., 2020.

  7. Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions (con Fernando Galaz-Garcia), arXiv:1609.06125 [math.DG] Proc. A. M. S., vol. 148, (7), pp. 3087–3097, 2020.



PLÁTICAS SELECTAS

  • 2022 - "Symmetry-preserving solutions to the Yamabe Problem", en el Seminario Virtual de Geometría con Simetrías, Darthmouth College-University of Queensland-Universidad Nacional del Sur (US-Australia-Argentina).

  • 2022 - “Reduction of singular Riemannian foliations and how to detect boundary of the leaf space”, en el Workshop on Geometry of Spaces with Upper and Lower Curvature Bounds of the Thematic Program on Nonnsmooth Riemannian andLorenzian Geometry, Fields Institute (Canada).

  • 2021 - "Quarter pinched spherical space forms bundles and Ricci flow” en el Young Geometers Meeting, Københavns Universitet (Dinamarca).

  • 2021 - "Singular Riemannian foliations and topological rigidity"c en el taller de Técnicas Modernas de Geometría Riemanniana, UNAM–Durham University (México-Reino Unido).

  • 2020 - "Foliated simplicial volume and circle foliations" en el Workshop on Simplicial volumes and bounded cohomology, Universität Regensburg (Alemania).

  • 2019 - Singular Riemannian foliations by aspherical leaves" en el Encuentro Ibero- Americano de Geometría, Universidad de Granada (España).

  • 2019 - “Manifolds with singular Riemannian foliations by aspherical leafs" en la Conferencia del DFG SPP 2026-"Geometry at Infinity", Münster (Alemania).

  • 2018 - “Ricci positive curvature in Manifolds with large torus actions" at Mexican Mathematicians in the World: Perspectives and Recent Contributions IV, held at BIRS’ Casa Matemática Oaxaca (México).

  • 2018 - "Ricci positive curvature in Manifolds with large torus actions" en Graduate Student Topology and Geometry Conference, University of Illinois at Chicago (US).

  • 2018 - “Manifolds with singular Riemannian foliations by aspherical leafs" en the Felix Klein Seminar, Notre Dame University (US).

  • 2017 - “Ricci positive curvature in Manifolds with large torus actions" en la Reunión conjunta entre la Real Sociedad Matemática Española (RSME), y la Sociedad Matemática Mexicana (SMM) 2017, Valladolid (España).

  • 2017 - “Ricci positive curvature in Manifolds with large torus actions" en 2017 Workshop on Curvature and Global Shape, Universität Münster (Alemania).

PREPRINTS

  1. A-Foliations of codimension two on compact simply-connected manifolds

arXiv:1903.07191 [math.DG].

EN PREPARACIÓN

  1. Smooth 2-torus actions on the 5-sphere, and nonnegative curvature (con Fernando Galaz-Garcia y Martin Kerin).

  2. Myres-Steenrod theorem for metric submetries and applications to singular Riemannian foliations (con Fernando Galaz-Garcia).