Here is a list of my papers so far. More of them coming soon...
Articles
Mauricio Che, Fernando Galaz-García, Luis Guijarro, Ingrid Amaranta Membrillo Solis. Metric Geometry of Spaces of Persistence Diagrams. Journal of Applied and Computational Topology, 2024. DOI:10.1007/s41468-024-00189-2.
Mauricio Che, Fernando Galaz-García, Luis Guijarro, Ingrid Amaranta Membrillo Solis, Motiejus Valiunas. Basic Metric Geometry of the Bottleneck Distance. Proc. Amer. Math. Soc. 152, 3575-3591, 2024. DOI: https://doi.org/10.1090/proc/16776.
Andrés Ahumada Gómez, Mauricio Che. Gromov-Hausdorff convergence of metric pairs and metric tuples (2023). Differential Geometry and its Applications 94, Paper No. 102135, 2024. DOI:10.1016/j.difgeo.2024.102135.
Mauricio Che, Jesús Núñez-Zimbrón. Ball covering property and number of ends of CD spaces with non-negative curvature outside a compact set, Archiv der Mathematik 119, 213–224, 2022. DOI:10.1007/s00013-022-01753-x.
Preprints
Andrés Ahumada Gómez, Mauricio Che, Manuel Cuerno. Metric pairs and tuples in theory and applications. arXiv:2505.12735.
Mauricio Che, Fernando Galaz-García, Martin Kerin, Jaime Santos-Rodríguez. Isometric Rigidity of Metric Constructions with respect to Wasserstein Spaces. arXiv:2410.14648.
Mauricio Che. Optimal partial transport for metric pairs. arXiv:2406.17674.
PhD thesis
Mauricio Che. Geometry of generalised spaces of persistence diagrams and optimal partial transport for metric pairs. PhD thesis, Durham University, 2024. Durham e-Theses.
Expository
Mauricio Che. El problema de Erdős-Perelman, Miscelánea Matemática, 71, 63-81, 2021. DOI: 10.47234/mm.7107.
Mauricio Che. On the number of ends of an Alexandrov space, Abstraction & Application, 27, 66-88, 2020. (link)
Mauricio Che, Didier Solis Gamboa. Espacios homogéneos de curvatura seccional positiva, Abstraction & Application, 26, 13-31, 2019. (link)