CV Lattes
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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
I work in Number Theory and Algebraic Geometry. Currently, I am an assistant professor at IMECC-Unicamp and I develop the research programme "Periods and algebraicity" (Fapesp Young Researcher Grant). (Source: Lattes Curriculum)
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This project is devoted to some algebraicity problems concerning periods, bringing together algebro-geometric and number-theoretic aspects. Periods are complex numbers that can be written as an integral of an algebraic differential form. They are often expected to be transcendental numbers, but their study is of utmost importance to algebraic number theory, as they appear as special value…
This project is an introduction to Baker's theorem on linear forms in logarithms of algebraic numbers and its applications in transcendental number theory. In particular, we shall study the work of Adhikari et al., which uses Baker's theorem to clarify the arithmetic nature of certain special values of Dirichilet L-series.
This project is an introduction to algebraic number theory through the lens of the Gauss class number problem and its solution via modular forms due to Heegner-Stark.
This project is an introduction to diophantine approximation and its applications to number theory through the study of representations of real numbers as continued fractions.
This project is an introduction to the theory of elliptic curves, starting from the classical study of elliptic integrals and functions.
This project is devoted to an in-depth study of the étale fundamental group of an algebraic variety, and to some of its applications. In particular, we shall study the surprising Belyi theorem, which characterises algebraic curves defined over number fields as finite coverings of the complex projective line ramified at three points.
(Only some records are available in English at this moment)
| 1 / 1 | Ongoing grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 6 / 5 | Completed scholarships in Brazil |
| 9 / 8 | All research grants and scholarships |
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