Professional and Biographical Information

Degrees

  • 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 ways to understand physical systems. One is called classical, the study 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 structures.

Teaching Interests

I enjoy teaching courses with a wide range of topics and levels, from Introductory Calculus and Linear Algebra to more advanced ones, such as Abstract Algebra, Differential Geometry and Analysis. I encourage active participation and discussions during the lectures, and I emphasize connections with other branches of scienceand 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.

Personal Website

You can see my personal website here.