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
graduate at Matemática from Universidade Guarulhos (2005). (Source: Lattes Curriculum)
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The main objects that will be investigated in this project are the projective algebraic curves defined over finite fields. Here, we investigate the problem of counting rational points on algebraic curves, which includes the construction of maximal curves as well as the study of the Frobenius classicality of plane curves with respect to the linear systems of curves of a given degree. Moreo…
The purpose of this project is to study the problem of counting rational points on algebraiccurves dened over finite fields. Related to this problem, we will study the Frobeniusclassicality of plane algebraic curves over finite fields with respect to linear systems ofcurves of a certain degree. More specically, we will investigate the following topics: -Bounds to rational points on algebr…
The purpose of this project is to study the problem of estimating the number of rational points on algebraic curves defined over finite fields. Consider a projective, irreducible, non-singular, algebraic curve defined over a finite field Fq. Upper bounds for the number of Fq-rational points of the curve are obtained via the Stohr-Voloch theory applied to some non-complete linear series. F…
| 1 / 1 | Completed research grants |
| 1 / 1 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 3 / 3 | All research grants and scholarships |
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