CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Colômbia
Holds a bachelor's degree in Mathematics from the Universidad Nacional de Colombia (2015), a master's degree in Mathematics from the same institution (2018), and a Ph.D. in Mathematics from the University of Campinas (Unicamp). Currently, he is a postdoctoral researcher at the University of São Paulo (USP). He has experience in the field of Nonlinear Dispersive Partial Differential Equations, with an emphasis on the following topics: Cauchy problems, persistence of solutions in weighted Sobolev spaces, polynomial decay of solutions, Schrödinger equation on metric graphs, and Kortewegde Vries equation on metric graphs. (Source: Lattes Curriculum)
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This project is devoted to the study of the Airy and Schrödinger operators on metric graphs involving several amount of half-lines attached to a common vertex. We consider the case of an extra terminal vertex (i.e. a T -shaped graph) and the case of a loop structure attached to the common vertex (known as looping-edge graph). In such contexts, the goal of this research project is, mainly,…
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