Geometry and topology of low-dimensioal manifolds. geometric group
theory. dymanical systems and holomorphic foliations
Low dimensional Geometry and Topology:
Hyperbolic manifolds in dimension 2,3,4. Deformation spaces of
structures (Teichmuller, character variety, etc...) Rigidity. Study
of new examples of hyperbolic 4-manifolds. CAT(0)-spaces, limits
and asymptotic bahaviors. Coarse Geometry.
Geometric Group Theory:
Automorphisms and currents on free groups. Study of the so-called
Outer Space of free groups, metric properties and isometries.
Decision problems on free and hyperbolic groups.
Dynamical Systems and Holomorphic Foliations:
Study of monodromies oh holomorphic foliations on products SxCP1.
Singular Projective Structures.
For more info, please see http://www.dm.unibo.it/~francavi/