**RESEARCH**

**RESEARCH INTEREST**

**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), to appear in Calc. Var. Partial Differential Equations**arXiv:2202.13109 [math.AP]**.(with Adam Moreno)**Core reduction for singular Riemannian foliations in Positive Curvature****arXiv:2011.05303 [math.DG]**, to appear in Ann. Global Anal. Geom., 2022.(with Jesús Núñez-Zimbrón, and Masoumeh Zarei)**Torus actions on Alexandrov 4-spaces****arXiv:1902.09402 [math.DG]**, in J. Geom. Anal. 32, 214, 2022.(with Jan-Bernhard Kordaß)**Short survey on the existence of slices for the space of Riemannian metrics****arXiv:1904.07031 [math.DG]**, in Contemporary Mathematics, vol. 75, "Mexican Mathematicians in the World: Trends and Recent Contributions", pp. 65-84, 2021.(with Martin Günther, Karla Garcia, and Jan-Bernhard Kordaß),**Bundles with even-dimensional spherical space form as fibers and fiberwise quarter pinched Riemannian metrics****arXiv:2004.02518 [math.GT]**Proc. A. M. S., vol. 149, (12), pp. 5407-5416, 2021.(with Caterina Campagnolo) arXiv:1910.03071 [math.GT], in J. Topol. Anal., 2020.**Integral foliated simplicial volume and circle foliations**(with Fernando Galaz-Garcia),**Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions****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**(with Fernando Galaz-Garica and Martin Kerin).**-sphere, andnonnegative curvature**(with Fernando Galaz-Garcia).**Myres-Steenrod theorem for metric submetries and applications to singular Riemannian foliations**

## SELECTED TALKS

2022 -

**"Symmetry-preserving solutions to the Yamabe Problem"**, at the Virtual Seminar of Geometry with Symmetries, 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”****,**at the 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”**at the Young Geometers Meeting, Københavns Universitet (Denmark).2021 -

**"****Singular Riemannian foliations and topological rigidity"**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).