RESEARCH INTERESTS

GENERAL TOPICS

Differential Geometry and Applications to Physics

• Riemannian manifolds
• Lorenz manifolds
• Cartan theory
• Integrable Systems

Geometry of second order hyperbolic and elliptic PDEs

• Lax systems

SPECIFIC TOPICS

Surfaces with constant (mean or Gaussian) curvature in spaces of constant sectional curvature (Euclidean, hyperbolic, spherical)

Harmonic maps from 2-dimensional manifolds into (compact or non-compact) symmetric spaces

Surface representations (in the sense of Weierstrass, Kenmotsu, Bryant etc.)