Geometría Diferencial

• Riemannian, complex, symplectic geometry and G2 structures on Lie groups and homogeneous spaces.
• Geometry of submanifolds and holonomy.
• Geodesic spaces.
• Billiards.
• Lorentzian geometry.
• Geometry of harmonic maps on homogeneous spaces.
• Integrable systems in geometry.
• Geometric control theory.
• Geometric invariant theory.
• Geometric flows and their solitons.
• Special geometric structures.
• Deformation and cohomology of Lie algebras.
• Symplectic and contact geometry.

ADRIAN ANDRADA

Research interests: Riemannian and complex geometry on homogeneous spaces, in particular, on Lie groups with left-invariant structures and their compact quotients.

ROMINA M. ARROYO

Research interests: geometric flows, distinguished metrics and Ricci curvature on homogeneous Riemannian manifolds.

MARIA LAURA BARBERIS

Research interests: geometry of homogeneous spaces and Lie groups. In particular, complex, Kähler, hypercomplex, Killing tensors, left-invariant structures on Lie groups.

ANAHITA ESLAMI RAD

Research interests: contact and symplectic topology, in particular, contact homology, holomorphic curves and invariants of Legendre knots.

EDISON FERNANDEZ CULMA

Research interests: Riemannian geometry, geometric invariant theory, geometry of homogeneous spaces, nilpotent Lie algebras, Lie groups, algebraic geometry, functional analysis.

YAMILE GODOY

Research interests: differential and Riemannian geometry. Spaces of oriented geodesic of pseudo-Riemannian manifolds. Existence of billiards and magnetic geodesic. Foliations by oriented geodesics. Foliations determining exterior billiards on certains Riemannian manifolds and their dynamic aspects.

EDUARDO HULETT

Research interests: Riemannian and Lorentzian geometry, geometry of harmonic maps on homogeneous spaces and Lie groups. Integrable systems in geometry, geometric control theory, and differential equations.

JORGE LAURET

Research interests: Ricci soliton, Einstein metrics. Ricci flow. Negative Ricci curvature. Prescribed Ricci curvature. Stability of Einstein metrics. Complex, symplectic and G2 structures on Lie groups homogeneous spaces. Geometric flows and their solitons. Nilpotent Lie algebras. Geometric invariant theory. Asonov diffeomorphisms on nilmanifolds.

CARLOS OLMOS

Research interests: differential geometry, Riemannian geometry and geometry of submanifolds. In particular, holonomy and submanifolds, homogeneous spaces, and the nullity of the curvature tensor on homogeneous spaces.

MARCOS ORIGLIA

Research interests: Riemannian and complex geometry on Lie groups. In particular, locally conformal Kähler or symplectic structures, (conformal) Killing tensors, Nil-affine actions of solvable Lie groups, and nilpotent orbits of semisimple Lie groups.

DAVID OSCARI

DANIEL PENAZZI

Research interests: topological dynamics. Combinatory. Logic. Cryptography. Hash functions, AEADs and electronic voting.

EDWIN RODRIGUEZ VALENCIA

Research interests: Invariant complex structures on Lie groups, Hermitian manifolds, Curvature flows, Bracket flow, Solitons. Nilpotent Lie algebras. The variety of Lie algebras. Real geometric invariant theory.

MARCOS SALVAI

Research interests: differential and Riemannian geometry. Spaces of oriented geodesic of pseudo-Riemannian manifolds. Existence of billiards and magnetic geodesic. Foliations by oriented geodesics. Foliations determining exterior billiards on certains Riemannian manifolds and their dynamic aspects. Dual billiars and fibrations by geodesic radious.

CRISTIAN SANCHEZ

Research interests: geometry of homogeneous spaces.

PAULO TIRAO

Research interests: Lie theory. Lie algebras. Representations, cohomology and deformations of Lie algebras.

SONIA VERA

Research interests: Lie Theory. Variety of nilpotent Lie algebras, in particular, cohomology, deformations, degenerations and rigidity.

Walter Dal Lago

Isabel Dotti

Josefina Druetta

Alicia García

• Josefina Barrionuevo
• Miguel Montes
• Santiago Castañeda Montoya
• Valeria Gutiérrez, Ricci curvature of homogeneous spaces, since 2020
• Mikhail Rios Guzman, Einstein homogeneous manifolds, since 2020
• Valeria Nair Cantero, since 2022
• Alejandro Tolcachier
• Agustin Garrone, since 2022

Differential geometry seminar Website You tube channel

• Workshop on Geometric Structures and Moduli Spaces