CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Daniel Levcovitz got his degree in Mathematics at Universidade Federal do Rio de Janeiro (UFRJ) in 1979. He obtained his master in 1982 and his doctorate in 1987, also in Mathematics, at Associação Instituto de Matemática Pura e Aplicada (IMPA). At he moment Daniel is Associate Professor in the mathematics department at University of São Paulo (USP) at São Carlos. His main field of research is Algebra. He is mostly interested in Commutative and Noncommutative Algebra, Algebraic Geometry, d-simple derivations and the Weyl Algebra. (Source: Lattes Curriculum)
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The main goal of this academic visit is to study applications of the Zariski's approach to resolution of singularities of an algebraic variety to different types of singularities. The visiting researcher has recognized experience in both algebra and theory of singularities. In particular, his contribution to the local uniformization problem has been useful to understand singularities from…
This project hinges on the impact of the fine theory of ideals in singularities. The informal designation ``fine theory'' refers to arithmetical and homological properties of ideals which lead to a deep intertwining with purely geometric properties of algebraic varieties and their classification. This cooperation naturally disembarks in singularity theory.Venturing facilitating the reader…
The goal of this project is to study part of the book "3264 and All That - A Second Course in Algebraic Geometry" by David Eisenbud and Joe Harris as an introduction to Enumerative Geometry.We plan to follow the reference above as a source of theory and exercises. More precisely, we have in mind to read the five first chapters from the book, which cover the basic material. Afterward, we i…
The goal of this project is to study the content of the ten first sections of chapter 1 from the book “Algebraic Number Theory” by Jürgen Neukirch, as an introduction to techniques of number theory and fulfill prerequisites to the study of arithmetic geometry.
The goal of this project is to study the content of the book "Algebraic Curves - An Introduction to Algebraic Geometry" by William Fulton as an introduction to algebraic geometry via the knowledge of plane algebraic curves affine and projective and via some notions of commutative algebra. (AU)
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Linear groups are the main source of many fundamental ideas in mathematics. They appear in almost all subjects of mathematics and have many algebraic and geometric properties. Linear groups are groups that are isomorphic with matrix groups, i.e. a group of invertible matrices over a commutative ring with unit. Matrices are very powerful tool for computation. The principal objective of thi…
| 5 / 3 | Completed research grants |
| 15 / 7 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 21 / 11 | All research grants and scholarships |
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