Keywords:
hyperbolic
topology
outer space
representation
manifold
currents
fundamental group
triangulation
low dimension
harmonic
measure
geometry
dynamical systems
geometric topology
geometric group theory
hyperbolic geometry
Hilbert metric
Hilbert geometry
convex projective geometry
translation surfaces
conjugacy problem
automorphisms of groups
moduli spaces
graph theory
simplicial volume
Gromov
Thurston
bounded cohomology
barycentric maps
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/