Doktor der Naturwissenschaften (Dr. rer. nat., Ph.D.)
Mathematisches Institut, Rheinische Friedrich-Wilhelms-Universität Bonn
Advisor: Prof. Dr. Werner Müller

Master in Mathematics. Department of Mathematics, Universidad de Los Andes, Bogota.
Advisors: Stella Huerfano and Luis Fernandez.

Bachelor in Mathematics. Department of Mathematics, Universidad Nacional de Colombia, Bogota.
Advisors: Stella Huerfano and Juan Manuel Tejeiro.