Publications

• Upper and lower bounds on the Filling Radus (with Luis Guijarro, 2022). Indiana University Mathematics Journal, 73 No. 4 (2024), 1253-1267, DOI: https://doi.org/10.1512/iumj.2024.73.9909.
• The Rival Coffee Shop Problem (with Javier Casado, 2024). ESAIM: Control, Optimisation and Calculus of Variations, 30 (2024) 42, DOI: https://doi.org/10.1051/cocv/2024031.
• On the reach of isometric embeddings into Wasserstein type spaces (with Javier Casado and Jaime Santos-Rodríguez, 2024). The Journal of Geometric Analysis, 34, 370 (2024) DOI: https://doi.org/10.1007/s12220-024-01821-4

Pre-prints

• Topological Data Analysis in ATM: the shape of big flight data sets (with Luis Guijarro, Rosa María Arnaldo Valdés and Fernando Gómez Comendador, 2023). Preprint
• The evolution of political ideology axes in the United States, 1984-2020 (with Fernando Galaz-García, Sergio Galaz-García and Telmo Pérez-Izquierdo, 2023). Forthcoming draft
• Reassessing relationality for bipolar data (with Fernando Galaz-García, Sergio Galaz-García and Telmo Pérez-Izquierdo, 2024).

Non-index publications

• Convergence of manifolds with totally bounded curvature. TEMat Monográficos, 2 (2021): Proceedings of the 3rd BYMAT Conference. 2, pp. 75-78. TEMat, 28/08/2021.
• Puntos en figuras convexas: el caso del hexágono regular. TEMat, 2 (2018). 2, pp. 31-44. TEMat, 11/07/2018.

PhD

• On isometric embeddings of metric spaces defended on February 9th 2024 in Universidad Autónoma de Madrid.

Work in progress

• Sociological understanding of temporal series (TDA).
• Electoral processes (TDA).
• Vietoris-Rips and submersions (Metric Geometry and TDA).
• Urysohn width and collapse (Metric Geometry).