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Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Faculdade de Ciências e Tecnologia (FCT) (Institutional affiliation from the last research proposal) Birthplace: Brazil
He is currently a Ph.D. candidate in Mathematics at the Graduate Program of the Institute of Biosciences, Humanities, and Exact Sciences of São Paulo State University (UNESP), São José do Rio Preto campus, under a co-tutelle agreement with the University of Seville, Spain. He holds a Masters degree in Applied and Computational Mathematics from the Faculty of Science and Technology at UNESP, Presidente Prudente campus (2021), and a Bachelor's degree in Mathematics Education from the same institution (2019). He was a scholarship holder of the OBMEP na Escola Program, promoted by IMPA with support from CAPES, as well as a FAPESP undergraduate research fellow, conducting studies in the area of Analysis.His research focuses on Elliptic Partial Differential Equations, with an emphasis on non-variational methods such as Bifurcation Theory, Sub and Supersolution Methods, and Maximum Principles. He has a particular interest in problems related to models in Population Dynamics. (Source: Lattes Curriculum)
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In this project we propose an introductory study of the main results in Functional Analysis. First of all the student is going to study several topics in Metric Spaces, which will be the basis to proceed to the study of the main topics in Functional Analysis. We propose studying normed vectorial spaces, topological results that allow us to state the Baire Theorem and its consequences. To …
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