CV Lattes
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Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation from the last research proposal) Birthplace: Brazil
bachelor's at Matemática from Universidade Estadual do Centro-Oeste (2004), master's at Mathematics from Universidade de São Paulo (2009) and doctorate at Matematica from University of Saskatchewan (2013). Has experience in Mathematics, focusing on Algebra, acting on the following subjects: catenária. (Source: Lattes Curriculum)
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The main goal of this visit is to continue the collaboration on the defect of an extension of valued fields. The defect is one of the main obstacles for local uniformization (and resolution of singularities) in positive characteristic. Recently, the researchers involved in this project made expressive developments for a better understanding of the defect. This visit will serve to continue…
(Only some records are available in English at this moment)
The main goal of this research project is to study the graded rings associated to limit key polynomials and questions about the concept of valuation transcendental. The questions that will be studied stablish a natural continuity for the masters project of the candidate, supported by FAPESP (process number 2020/05148-0). Furthermore, the objects of interest of this project are related to …
The main goal of this projeto is to study categories and tensor products. These are fundamental theories in algebra. Moreover, these topics appear in other research areas, in Mathematics but also in other natural sciences. This project will be fundamental for to prepare the applicant to develop research in this area during his graduate studies.
Topologies play an important role on Zariski's method for resolution of singularities. This is because, as soon as we have local uniformization for all valuations, we need to create a process to obtain a global resolution. Hence, it is important to understand the different types of structure on spaces of valuations. The main goal of this project is to understand and extend the results of …
This project consists on the study of different topologies on spaces of valuations.
(Only some records are available in English at this moment)
The main goal of this visit is to continue the studies about extensions of valued fields via key polynomials. More precisely, we will study the depth of a finite valued field extension. The main application we have in mind is the study of the module of K\"ahler differentials of an extension of valuation rings, whose corresponding field extension $L/K$ is simple and algebraic. Recently, it…
The main goal of this research project is to study the graded ring associated to a valuation and its relations with special classes of fields: the tame fields and deeply ramified fields. This is a natural continuation for the Master's project of the candidate, supported by FAPESP (process number 2020/05148-0), and is a complement to his current Ph.D. project (process number 2021/13531-0).…
The local uniformization problem is the local form of resolution of singularities for algebraic varieties. Both problems of resolution of singularities and local uniformization were proven in characteristic zero. However, both problems are open in the complementary case of positive characteristic. The main goal of this project is to deepen the knowledge about the local uniformization in p…
| 5 / 5 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 5 / 5 | Completed scholarships in Brazil |
| 3 / 3 | Completed scholarships abroad |
| 14 / 14 | All research grants and scholarships |
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