# RESEARCH

## RESEARCH INTEREST

Foliations on Riemannian manifolds

Metric spaces with lower curvature bounds

Metric deformations

## PUBLICATIONS

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.

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

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.

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

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

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