Professional and Biographical Information


  • Ph.D. University of Zürich, Switzerland (2013).
  • M.Sc. University of Utrecht, the Netherlands (2009).
  • B.A. Universidad de los Andes, Colombia (2004).

Research Interests

My research lies at the intersection of geometry, topology and mathematical physics. There are two different ways to understand physical systems. One is called classical, the analysis of phenomena at a macroscopic level, and the other one is called quantum, which deals with the physics at the subatomic scale. My focus is on understanding and connecting these two different approaches by using tools of differential geometry like Lie groups, Lie algebras and Poisson geometry. I am also interested in undergraduate research, in particular the applications of some of these techniques to graph theory, topological combinatorics and information theory.

Teaching Interests

I enjoy teaching courses with a wide range of topics and levels, from Introductory Calculus and Linear Algebra to more advanced ones, including Real Analysis, Lie Theory and Differential Geometry. I encourage active participation and discussions during the lectures, and I emphasize connections with other branches of science and knowledge. I have mentored several research projects with both undergraduate and high school students, on topics which involve pure mathematics and applications to physics and network theory. 

Selected Publications and Preprints

The whole list of publications can be found here.

Editorial Work


  • I am one of the organizers of the Primer Encuentro Colombiano de Geometría y Topología, at Universidad Nacional de Colombia, Bogotá, in Summer 2024.
  • In March 2023, I was one of the local organizers of the 9th Gone Fishing Conference in Poisson Geometry at Amherst College. The conference was centered on the theme “Poisson geometry and its derived, shifted, and higher variants”. The conference was partially supported by the NSF grant DMS-2232673. 
  • Since February 2024 I am a member of the Selection Committee of the Award For Math Programs That Make A Difference, American Mathematical Society (AMS).
  • Since February 2024 I am a member of the AMS-Simons Travel Grants Committee.

Personal Website

You can see my personal website


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CV (Updated July 2024) 152.68 KB