RESEARCH

RESEARCH INTEREST

  • Foliations on Riemannian manifolds

  • Metric spaces with lower curvature bounds

  • Metric deformations

PUBLICATIONS

  1. 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], to appear in Proc. A. M. S.

  2. Integral foliated simplicial volume and circle foliations (with Caterina Campagnolo) arXiv:1910.03071 [math.GT].

  3. Short survey on the existence of slices for the space of Riemannian metrics (with Jan-Bernhard Kordaß) arXiv:1904.07031 [math.DG], to appear in Proceedings of the IV Meeting of Mexican Mathematicians Abroad 2018.

  4. Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions (with Fernando Galaz-Garcia) , Proc. A. M. S., vol. 148, (7), pp. 3087–3097, 2020.


PREPRINTS

  1. Core reduction for singular Riemannian foliations in Positive Curvature (with Adam Moreno) arXiv:2011.05303 [math.DG].

  2. A-Foliations of codimension two on compact simply-connected manifolds arXiv:1903.07191 [math.DG].

  3. Torus actions on Alexandrov 4-spaces (with Jesús Núñez-Zimbrón, and Masoumeh Zarei) arXiv:1902.09402 [math.DG].


SELECTED TALKS

  • 2021 - "Quarter pinched spherical space forms bundles and Ricci flow”at theYoungGeometers Meeting, Københavns Universitet (Denmark).

  • 2021 - "Singular Riemannian foliations and topological rigidity" at the Modern Techniques in Riemannian geometry, UNAM–Durham University.

  • 2020 - “Foliated simplicial volume and circle foliations" at the Workshop on Simplicial volumes and bounded cohomology, Universität Regensburg (Germany).

  • 2019 - “Manifolds with singular Riemannian foliations by aspherical leafs" at Ibero- American Geometry Meeting, Universidad de Granada (Spain).

  • 2019 - “Manifolds with singular Riemannian foliations by aspherical leafs" at SPP 2026-Geometry at Infinity Conference, Münster (Germany).

  • 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 (Mexico).

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

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

  • 2017 - “Ricci positive curvature in Manifolds with large torus actions" at the 2017 Dual meeting between the Royal Spanish Mathematical Society (RSME) and the Mexican Mathematical Society (SMM), Valladolid (Spain).

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