PhD in Mathematics at State University of Campinas, in the area of Gauge Theory and Algebraic Geometry. Has Bachelor degree in Mathematics obtained from Federal University of Paraná. (Source: Lattes Curriculum)
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Our aim in this project is to generalize the known techniques of description of the spectra of the Laplacian acting on differential forms over homogeneous spaces, but now considering the case of Laplacian acting on sections of any vector bundle over a homogeneous space. (AU)
Our aim in this project is to understand the characterization of the spectrum of the Laplacian operator acting in the differential forms over the sphere and over the projective plane, with the ambition of trying to generalize such characterization to differential forms over homogeneous spaces. (AU)
This work intends to generalize a work of Da Rong Cheng, which characterizes the local minimizers of the abelian Yang-Mills-Higgs functional in terms of the so called vortex equations on the 2-sphere and the 2-dimensional torus. Being aware of the existence of a generalization of the vortex equations to Kahler manifolds, our aim is to obtain such a characterization of minimizers when the …
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 3 / 3 | All Scholarships |
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CV Lattes
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