Info.

Hola! My name is Jaime Santos Rodríguez, I’m a Profesor Ayudante Doctor at the Department of Applied Mathematics at the Universidad Politécnica de Madrid. Before that I was a Margarita Salas Fellow at the Universidad Autónoma de Madrid and at Durham University.

Previously I was a Postdoctoral Fellow at the MPIM, my mentor there was Prof. Dr. K.-T. Sturm. I did my Ph.D. at the Universidad Autónoma de Madrid and I was a member of the ICMAT. My adviser was Prof. Luis Guijarro.

Contact.

You can reach me at: jaime.santos [at] upm.es

Research interests.

I’m particularly interested in metric measure spaces that admit generalizations of lower curvature bounds (Sectional and Ricci). These spaces appear naturally as Gromov-Hausdorff limits of manifolds. My research focuses on their isometry groups and the effect of isometric Lie group actions on these spaces.

Papers and preprints.

• (with Javier Casado, and Manuel M. Cuerno )”On the reach of isometric embeddings into Wasserstein type spaces” (2023) arXiv preprint link

• (with Qin Deng,Sergio Zamora, and Xinrui Zhao )”Margulis lemma on RCD(K,N) spaces.” (2023) arXiv preprint link

• (with Sergio Zamora) “On the Fundamental groups of RCD spaces.” Journal für die reine und angewandte Mathematik (Crelles Journal) (2023) link

• “On isometries of compact L^p-Wasserstein spaces.” Advances in Mathematics (2022) link

• “Invariant measures and lower Ricci curvature bounds.” Potential Analysis (2019). link

• (with Luis Guijarro) “On the isometry groups of RCD*(K,N)-spaces” Manuscripta Math. (2018). link

Selected talks.

• “Symmetries of Wasserstein spaces” Virtual seminar on geometry with symmetries, online 2024.
• “Grupos fundamentales de espacios RCD”, Congreso Bienal de la RSME-Pamplona, España 2024.
• “Lie group actions on RCD spaces”, Geometry and Topology Seminar, Durham University, UK, 2023.
• “On the fundamental groups of RCD spaces”, Técnicas Modernas en Geometría riemanniana, UNAM, México 2023.
• “On the fundamental groups of RCD spaces”, Geometry Day York-Durham-Leeds, York, UK 2023.
• “Isometrías en espacios de Wasserstein”, Seminario Guillermo Torres de Geometría y Topología, UNAM, Mexico 2022.
• “On isometries of curved metric measure spaces”,BIRS-Workshop “Metric measure spaces with symmetry and lower Ricci curvature bounds”, Oaxaca, México 2022.
• “Rigidity of Wasserstein isometries in closed Riemannian manifolds”, Geometry and Topology Seminar, Durham University, UK, October 2020.
• “Isometries of spaces with lower Ricci curvature bounds”,Geometry Seminar, University of Jyväskylä, Finland,May 2020.
• “On Wasserstein isometries of closed Riemannian manifolds.” Workshop on Curvature and Global Shape, Münster,Germany. July 2019.
• “Metric measure spaces with lower Ricci cruvature bounds and its isometries.” Thematic Programme “Optimal transport,” ESI, Vienna, Austria. May 2019.