At the present time, I am professor of Mathematics at the Department of Mathematics, Universidad del Valle. My research interest is at the intersection of partial differential equations, mathematical physics, nonlinear dispersive models related to water waves. For these models or systems, we study the well-posedness in different domains, the existence of special solutions like travelling waves or standing waves, the stability analysis. In the last couple of years, I have involved in control theory for dispersive models. I am the director of the research group “Ecuaciones Diferenciales Parciales y Geometría-EDPG (Partial Differential Equations and Geometry) classified by MinCiencias in category A.
ICM Grant. Rio de Janeiro-Brasil
ICM Grant. Seoul-South Korea
Member of the Colombian Academy of Exact, Physical and Natural Sciences
Colombian Mathematical Society – National Award
DAAD Fellow. Max Planck Institute - Leipzig (Germany)
Visitor ICTP Trieste (Italy)