Research interests

My work has been mainly concentrated on the study of the following topics:

  • the classification of algebraic varieties, especially projective surfaces and threefolds

  • the theory of deformations for algebraic varieties and complex manifolds

  • the geometry of self-maps of complex affine spaces

  • the factoriality problem for singular algebraic varieties

  • the study of comparison principles for PDE in tubular neighbourhoods of Riemannian manifolds