Geometry/Topology

The research developed by the Geometry/Topology group of the Department of Mathematics at the Federal University of Viçosa covers modern and classic aspects of differential geometry, such as geometry of manifolds and applications of differential equations to differential geometry. In addition, part of the research developed is located at the confluence of the areas of Topology, Algebraic Geometry and Complex Geometry. The group also works at the interface between Differential Geometry and Theory of Singularities. Our group’s research is mainly focused on: Riemannian Geometry, Singularity Theory and Foliation Theory.

Research Lines

Differential Geometry, Singularity Theory, Foliation Theory.

Researchers

	Ady Cambraia Júnior Differential Geometry and Theory of Singularities with emphasis on Differential Geometry of submanifolds, with pre-established geometric properties, immersed in three-dimensional homogeneous manifolds in warped product and Affine Differential Geometry.
	Diogo da Silva Machado Theory of Holomorphic Foliations, Algebraic Geometry and Complex Geometry with emphasis on the study of singularity residues and Chern Classes of Foliations.
	Marco Antônio do Couto Fernandes Differential Geometry and Theory of Singularities with an emphasis on the study of local properties and deformations of curves and surfaces in Euclidean and Minkowski spaces.
Collaborators:	Mostafa Salarinogabhi Singularity Theory: theory of flat and round singularity, Afim Differential Geometry and Complex Dynamic Systems.