Cecília Salgado Guimarães da Silva

Mathematics

Cecília Salgado, who holds a PhD in mathematics from the University of Paris Diderot, is currently a researcher at the University of Groningen in the Netherlands. Before this, she served as a professor at the Federal University of Rio de Janeiro (UFRJ). Unlike many mathematicians who apply their knowledge to computing and algorithms, Cecília’s passion lies in pure mathematics.

Her research is focused on describing complex geometric shapes, about which there is still much to learn in mathematics. The study aims to describe these shapes by drawing comparisons with simpler shapes, such as the sphere. While research in pure mathematics is often theoretical in nature, Cecília aspires to apply this knowledge in practical ways, such as correcting noise in lengthy messages to ensure their reliability.

Projects

Elliptic Fibrations in Algebraic and Arithmetic Geometry
Science / Mathematics

Our research will involve the development and application of geometric methods to examine number theory problems represented by systems of polynomial equations. These equations depict geometric entities such as curves or algebraic surfaces. While solutions to some problems are well-understood due to their representation by simpler objects like curves, others remain unresolved as they are represented by more complex entities such as surfaces or higher-dimensional varieties. Our primary focus will be on the geometry and arithmetic of algebraic surfaces. To enhance our understanding of these surfaces, we will equip them with special structures that yield information about their geometry and arithmetic. Elliptic fibrations, which allow us to handle curves (simpler objects) within surfaces, will play a crucial role in this process.

Amount invested

R$ 100,000.00

Open Calls

Chamada 1
  • Topics
  • Algebraic geometry
  • Arithmetic
  • Elliptic fibrations