Welcome to my personal page!

Studying for a PhD in Mathematics (advisor: Luis Guijarro) at Maths Department in Universidad Autónoma de Madrid

Born in Ponferrada in 1998, I pursued my Bachelor’s degree in Mathematics from 2016 to 2020, followed by a Master’s degree from 2020 to 2021 at the Universidad Autónoma de Madrid.

During my PhD, my research initially focused on manifolds without conjugate points and Riemannian submersions. Subsequently, I shifted my focus to studying the reach (in the sense of Federer) of isometric embeddings into Wasserstein-type spaces. Additionally, I explored applications of the Wasserstein distance, particularly in addressing the problem of uniformly distributing points on a compact manifold.

Throughout this period, I also delved into Topological Data Analysis.

Research interests: Riemannian/Metric Geometry. Optimal Transport. Topological Data Analysis.

Contact details:

• Email: javier.casadoa@uam.es (Send Email)
• Office 413.
  Department of Mathematics, UAM.
  C/ Francisco Tomás y Valiente, 7 Facultad de Ciencias, módulo 17, 28049 Madrid