MY RESEARCH INTERESTS

GENERAL

Differential Geometry and Applications to Physics:

· Riemannian manifolds

· Lorenz manifolds

· Cartan theory

· Integrable Systems

Geometry of second order hyperbolic and elliptic PDEs

· Lax systems

PARTICULAR

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.)