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Mellado Cuerno, Manuel
PhD: Universidad Autónoma de Madrid
Office D3-18
Biography
Manuel Mellado Cuerno is an Assistant Professor on Tenure Track in the Department of Mathematics at CUNEF Universidad. He earned a Bachelor's and a Master's in Mathematics at Universidad Autónoma de Madrid. His PhD research evolved from studying collapsing sequences of Riemannian manifolds to exploring Gromov's Filling Radius, reach in Wasserstein spaces, and applications of the Wasserstein distance, including uniform point distribution on compact manifolds. He also developed a strong focus on Topological Data Analysis (TDA). Today, he combines theoretical and applied mathematics, contributing to metric geometry, TDA, and applications in Air Traffic Management and Sociology. He is Principal Investigator of the BBVA-funded project POL-AXES on political ideological landscapes in Europe. He is also reviewer of Mathscinet.
Education
PhD in Mathematics, Universidad Autónoma de Madrid (2024)
Masters Degree in Advanced Mathematics, Universidad Autónoma de Madrid (2018)
Bachelor in Mathematics, Universidad Autónoma de Madrid (2017)
Research Interests
TDA (Topological Data Analysis). Metric Geometry. Optimal Transport. Wasserstein type spaces. Mathematics applied to Sociology. Mathematics applied to Air Traffic Management Networks. Centrality Measures.
Most relevant publications
Cuerno, Manuel M.; Guijarro, Luis; Arnaldo Valdés, Rosa María; Gómez Comendador, Fernando: "Topological Data Analysis in ATM: the shape of big flight data sets", PLoS ONE, 20(2): e0318108, 2025.
Cuerno, Manuel M.; Guijarro, Luis: "Upper and lower bounds on the Filling Radius", Indiana University Mathematics Journal, 73 No. 4, 1253-1267, 2024.
Casado, Javier; Cuerno, Manuel M.: "The Rival Coffee Shop Problem", ESAIM: Control, Optimisation and Calculus of Variations, 30, 42, 2024.
Casado, Javier; Cuerno, Manuel M.; Santos-Rodríguez, Jaime: "On the reach of isometric embeddings into Wasserstein type spaces", The Journal of Geometric Analysis, 34, 370, 2024.