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: Estados Unidos
Has an SB in pure mathematics from MASSACHUSETTS INSTITUTE OF TECHNOLOGY (2001), master's in Mathématiques pures from Université Paris-Sud 11 (2002) and doctorate from Harvard University (2007). Currently is associate professor (MS5.1) at Unicamp. Has experience in mathematics, focusing on algebraic geometry in general, and in singularities, linear series, non-Archimedean, A^1-homotopy-, and matroid-theoretic approaches in particular. (Source: Lattes Curriculum)
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This research project focuses on the behavior of linear series on curves in two nontraditional contexts, in which the curves are either singular or defined over fields other than the complex numbers. Using tools from non-Archimedean geometry, A1-homotopy theory, and matroidal combinatorics, the present project aims to establish new arithmetic and singular versions of Brill--Noether theory…
Gauge theory is the study of differential equations involving connections on vector bundles over manifolds using methods from differential geometry, algebraic geometry and geometric analysis. This is area of research emerged in the late 1970s, especially after works by Michael Atiyah, Nigel Hitchin and simon Donaldson, among others, as a mathematical model for classical field theory in ma…
Since the construction of Algebraic Geometry Codes given by V. D. Goppa in 1977, several objects of Algebraic Geometry have been intensively studied to obtain new constructions of Error Correcting Codes, as well as for to obtain Algebraic Geometry Codes with good properties.In this direction, the research project entitled "Algebraic curves and their applications to Coding Theory" has as i…
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| 1 / 1 | Completed scholarships in Brazil |
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