Iván Camilo Ballén Méndez

Undergraduate Student

About Me

Physics and Mathematics student at the Universidad de los Andes (2020-Current). My academic interests revolve around the various applications of differential geometry and differential topology in Physics. During the development of my thesis I studied Lorentzian geometry and general relativity from a thermodynamic point of view, a topic that in turn led me to study thermodynamics of black holes and quantum field theory in curved space-times. Currently, I am working with the Hawking-Penrose singularity theorems. In the future, I would be interested in studying the relationships between differential topology and condensed matter physics, interpretations of topological invariants in physics, and applications of K-theory. My motivation for the study of these topics arises from the great applicability and versatility of geometric tools within the context of Physics, which suggests that this theory is a strong mathematical model for the description of new phenomena.

Grupo de Física Estadística

Departamento de Física

Edificio Ip

Carrera 1E # 18A-10

Bogotá, Colombia

Universidad de los Andes | Vigilada Mineducación
Reconocimiento como Universidad: Decreto 1297 del 30 de mayo de 1964.
Reconocimiento personería jurídica: Resolución 28 del 23 de febrero de 1949 Minjusticia.

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