Carlos Barrera

Division of Exact Sciences
Department of Mathematics

Carlos Barrera

Visiting professor

I am a mathematician originally from the Chinantla region of Oaxaca, in the Alto Papaloapan. I moved to Mexico City several years ago to study Physics, but was soon drawn to mathematics and celestial mechanics, which led me to change direction. After completing my undergraduate studies, I began graduate studies in mathematics, exploring the analytical depth and beauty of the n-body problem, a process that culminated in the defense of my doctoral thesis in 2024. Immedi ately afterward, I carried out a postdoctoral stay at the University of Padua as part of the PRIN project Stability in Hamiltonian Dynamics and Beyond, where I deepened my understanding of the geometric structure of dynamical systems, in the land that saw the birth of Tullio Levi-Civita. I currently have the privilege of having returned to Mexico to pursue a postdoctoral position at the Instituto Tecnológico Autónomo de México.

In more detail, my academic interests focus on the application of analytical and geometrical methods to the study of the existence and stability of solutions in dynamical systems, with particular emphasis on problems in classical and celestial mechanics. In particular, I am interested in the coupling between rotational and translational motion in the Full Two-Body Problem, as well as in the analysis of n-Body Problems in spaces of constant curvature.

Academic Studies

BS Physics, Universidad Nacional Autónoma de México
MS Mathematics, Universidad Nacional Autónoma de México
PhD Mathematics, Universidad Nacional Autónoma de México

Contact

55 5628 4000 ext. 3827

Topics of Interest

  • Nonlinear Analysis in ODEs and PDEs
  • Classical and Celestial Mechanics
  • Hamiltonian systems
  • Variational Methods

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