CV Lattes
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Universidade Federal do ABC (UFABC). Centro de Matemática, Computação e Cognição (CMCC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduation at Bacharelado em Matemática from Instituto de Matemática e Estatística (2008), master's at Matemética Aplicada from Instituto de Matemática e Estatística (USP-SP) (2011) and doctorate at Mathematics from Universidade de São Paulo (2015). (Source: Lattes Curriculum)
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In this undergraduate project we will study the Euler-Maclaurin and few of its applications in Pure and Applied Mathematics. The main goal of the project is to improve the student skills in Calculus/Real analysis and also to provide him a panoramic view of few research areas in Mathematics, like the Analytic number theory and Numerical Stability of computational algorithms. (AU)
One of the oldest unsolved problems in Analytic Number Theory (the classical Dirichlet divisor problem) is determining the smallest order of the error term in the asymptotic expansion of $D(x) \ := \ \sum\limits_{n \leq x} \sum\limits_{d \mid n} 1$. Variants of this problem were considered throughout the years by imposing some conditions over the summation index $n$ or/and considering onl…
| 3 / 1 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
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