Bachelors (2022) and Masters (2024) in Mathematics from Universidade Estadual Paulista Júlio de Mesquita Filho (UNESP), São José do Rio Preto campus (IBILCE - Institute of Biosciences, Letters, and Exact Sciences). During his undergraduate studies, he was a Scientific Initiation Fellow at the São Paulo Research Foundation (FAPESP), working on the project "Functional Analysis and an Introduction to the Theory of Semigroups of Bounded Linear Operators." For his Masters, he was a fellow of the National Council for Scientific and Technological Development (CNPq), with the thesis "Semi-Fredholm Operators and Periodic Solutions."Currently, his interests include Data Science, Machine Learning, Mathematical Statistics, Mathematical Analysis, and Geometry/Topology. (Source: Lattes Curriculum)
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This project is divided into two parts: the first one is concerned to study some topics of functional analysis that will serve as a basis and tool for then, in the second part, we start developing the theory of semigroups of bounded linear operators. Next, we will apply the results already seen in the study of the abstract Cauchy problem. (AU)
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