Research
Article
Book Chapter
Expository
Preprint
Article
Closed three-dimensional Alexandrov spaces with isometric circle actions
Tohoku Math. J. (2) 70 (2018), no. 2, 267–284.
| Journal | arxiv | PDF |
Three-dimensional Alexandrov spaces with local isometric circle actions
with Fernando Galaz-García
Kyoto J. Math. 60 (2020), no. 3, 801–823.
| Journal | arxiv | PDF |
Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric
with Fernando Galaz-García and Luis Guijarro
Indiana Univ. Math. J. 69 (2020), no. 3, 977–1005.
| Journal | arxiv | PDF |
A generalized tetrahedral property
with Raquel Perales
Math. Z. 298 (2021), no. 1-2, 747–769.
| Journal | arxiv | PDF |
Maximal volume entropy rigidity for RCD∗(−(N−1),N)-spaces
with Chris Connell, Xianzhe Dai, Raquel Perales, Pablo Suárez-Serrato and Guofang Wei
J. London Math. Soc. 104 (2021), 1615-1681.
| Journal | arxiv | PDF |
On topological rigidity of Alexandrov 3-spaces
with Noé Bárcenas
Rev. Mat. Iberoam. 37 (2021), no. 5, 1629–1639.
| Journal | arxiv | PDF |
Torus actions on Alexandrov 4-spaces
with Diego Corro and Masoumeh Zarei
J. Geom. Anal. 32 (2022), no. 8, Paper no. 214, 35 pp.
| Journal | arxiv | PDF |
Ball covering property and number of ends of CD spaces with non-negative curvature outside a compact set
with Mauricio Che
Arch. Math. (Basel) 119 (2022), no.2, 213-214.
| Journal | arxiv | PDF |
The behavior of harmonic functions on RCD spaces
with Guido De Philippis
Manus. Math. 171 (2023), no. 1-2, 155 - 168.
| Journal | arxiv | PDF | Video |
Tohoku Math. J. (2) 70 (2018), no. 2, 267–284.
| Journal | arxiv | PDF |
Three-dimensional Alexandrov spaces with local isometric circle actions
with Fernando Galaz-García
Kyoto J. Math. 60 (2020), no. 3, 801–823.
| Journal | arxiv | PDF |
Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric
with Fernando Galaz-García and Luis Guijarro
Indiana Univ. Math. J. 69 (2020), no. 3, 977–1005.
| Journal | arxiv | PDF |
A generalized tetrahedral property
with Raquel Perales
Math. Z. 298 (2021), no. 1-2, 747–769.
| Journal | arxiv | PDF |
Maximal volume entropy rigidity for RCD∗(−(N−1),N)-spaces
with Chris Connell, Xianzhe Dai, Raquel Perales, Pablo Suárez-Serrato and Guofang Wei
J. London Math. Soc. 104 (2021), 1615-1681.
| Journal | arxiv | PDF |
On topological rigidity of Alexandrov 3-spaces
with Noé Bárcenas
Rev. Mat. Iberoam. 37 (2021), no. 5, 1629–1639.
| Journal | arxiv | PDF |
Torus actions on Alexandrov 4-spaces
with Diego Corro and Masoumeh Zarei
J. Geom. Anal. 32 (2022), no. 8, Paper no. 214, 35 pp.
| Journal | arxiv | PDF |
Ball covering property and number of ends of CD spaces with non-negative curvature outside a compact set
with Mauricio Che
Arch. Math. (Basel) 119 (2022), no.2, 213-214.
| Journal | arxiv | PDF |
The behavior of harmonic functions on RCD spaces
with Guido De Philippis
Manus. Math. 171 (2023), no. 1-2, 155 - 168.
| Journal | arxiv | PDF | Video |
Book Chapter
Collapsed three-dimensional Alexandrov spaces: A brief survey
with Fernando Galaz-García and Luis Guijarro
Differential Geometry in the Large, (London Math. Soc. Lecture Note Series), Cambridge University Press 463 (2020) 291-310.
Editors Owen Dearricott, Wilderich Tuschman, Yuri Nikolayevsky, Thomas Leistner and Diarmuid Crowley.
| Book |
Three-dimensional Alexandrov spaces: A survey
with Fernando Galaz-García
In: Arizmendi Echegaray, G., Hernández-Lamoneda, L., Herrera Guzmán, R. (eds) Recent Advances in Alexandrov
Geometry. (2022). CIMAT Lectures in Mathematical Sciences. Birkhäuser, Cham.
| Chapter |
Topological and geometric rigidity for spaces of curvature bounded below
In: Arizmendi Echegaray, G., Hernández-Lamoneda, L., Herrera Guzmán, R. (eds) Recent Advances in Alexandrov
Geometry. (2022). CIMAT Lectures in Mathematical Sciences. Birkhäuser, Cham.
| Chapter |
with Fernando Galaz-García and Luis Guijarro
Differential Geometry in the Large, (London Math. Soc. Lecture Note Series), Cambridge University Press 463 (2020) 291-310.
Editors Owen Dearricott, Wilderich Tuschman, Yuri Nikolayevsky, Thomas Leistner and Diarmuid Crowley.
| Book |
Three-dimensional Alexandrov spaces: A survey
with Fernando Galaz-García
In: Arizmendi Echegaray, G., Hernández-Lamoneda, L., Herrera Guzmán, R. (eds) Recent Advances in Alexandrov
Geometry. (2022). CIMAT Lectures in Mathematical Sciences. Birkhäuser, Cham.
| Chapter |
Topological and geometric rigidity for spaces of curvature bounded below
In: Arizmendi Echegaray, G., Hernández-Lamoneda, L., Herrera Guzmán, R. (eds) Recent Advances in Alexandrov
Geometry. (2022). CIMAT Lectures in Mathematical Sciences. Birkhäuser, Cham.
| Chapter |
Expository
Preprint
Cohomogeneity one RCD spaces
with Diego Corro and Jaime Santos-Rodríguez
| arxiv | PDF |
Classification of generalized Seifert fiber spaces
with Fernando Galaz-García
| arxiv | PDF |
Volume entropy and rigidity of RCD spaces
with Chris Connell, Xianzhe Dai, Raquel Perales, Pablo Suárez-Serrato and Guofang Wei
| arxiv | PDF |
Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian
with Enrico Pasqualetto and Teri Soultanis
| arxiv | PDF |
Non-collapsed eGH convergence and dimension
with Jaime Santos-Rodríguez and Sergio Zamora
| arxiv | PDF |
with Diego Corro and Jaime Santos-Rodríguez
| arxiv | PDF |
Classification of generalized Seifert fiber spaces
with Fernando Galaz-García
| arxiv | PDF |
Volume entropy and rigidity of RCD spaces
with Chris Connell, Xianzhe Dai, Raquel Perales, Pablo Suárez-Serrato and Guofang Wei
| arxiv | PDF |
Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian
with Enrico Pasqualetto and Teri Soultanis
| arxiv | PDF |
Non-collapsed eGH convergence and dimension
with Jaime Santos-Rodríguez and Sergio Zamora
| arxiv | PDF |