Welcome to my personal page!

I am Assistant Professor (Tenure-Track) at CUNEF Universidad in Madrid, Spain. I obtained my PhD in Mathematics (advisor: Luis Guijarro) at the Department of Mathematics in Universidad Autónoma de Madrid.

During my PhD, my research focused on metric geometry. In particular, I studied Gromov’s invariant Filling Radius and the reach (in the sense of Federer) of isometric embeddings into Wasserstein-type spaces. Additionally, I explored applications of the Wasserstein distance. Throughout this period, I also began exploring Topological Data Analysis (TDA), engaging in both theoretical and applied research in this field. TDA has now become a cornerstone of my research endeavors.

Currently, my work focuses on both applied and theoretical mathematics. I continue to contribute to the field of metric geometry while dedicating part of my research to TDA and the application of mathematics to Social Sciences. Additionally, I am the Principal Investigator of a two-year BBVA Foundation Prismas y Problemas project (“Charting Political Ideological Landscapes in Europe: Fault Lines and Opportunities (POL-AXES)”).

Research interests: TDA (Topological Data Analysis). Metric Geometry. Optimal Transport. Mathematics applied to Social Sciences.

Contact details:

• Email: manuel.mellado@cunef.edu (Send Email)
• Office D3.18.
  Department of Mathematics, CUNEF Universidad.
  C/ Almansa, 101, 28040, Madrid, Spain.