CV Lattes
Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduation at Matemática from Universidade de São Paulo (2018) and master's at Mathematics from Universidade de São Paulo (2020). (Source: Lattes Curriculum)
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In this project, we will study properties of elliptic curves over Q, their associated Tate-Shafarevich groups and Selmer groups, with an eye towards a result by Bhargava-Skinner-Zhang (2014) which states that the majority (over 66 percent) of such elliptic curves, when ordered by height, satisfies the Birch and Swinnerton-Dyer conjecture, one of the main open problems in modern Number The…
In this project, we propose to study topics of the theory of modular forms and Hecke operators, such that Hecke eigenforms, Moduli spaces of elliptic curves over Q, reduction of algebraic curves (elliptic curves, in particular) mod prime, Jacobian and Picard group of modular curves and the connection between this topics with a view to a proof of the Eichler-Shimura relation, as well as it…
In this project, we propose to study topics of the modular forms theory, elliptic curves (in particular, complex multiplication) and p-adic numbers (including the Tate curve) and, as an application, to justify the almost integrality of the number exp(pi sqrt(163)) in two different ways. (AU)
| 3 / 3 | Completed scholarships in Brazil |
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