Bachelor in Mathematics at Federal University of São Carlos. Master's student on mathematics at Federal University of São Carlos. The areas of my interest are Valuation Theory, Commutative Algebra, Algebraic Geometry and Number Theory. (Source: Lattes Curriculum)
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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 …
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 …
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).…
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