/ School of School of Mathematics
Fabrizio Catanese works on algebraic geometry and complex geometry.
His main contributions have been to the field of algebraic surfaces, especially classification and moduli spaces of surfaces of general type, and of higher dimensional complex manifolds.
In his work he uses a variety of methods, ranging from projective geometry, commutative and homological algebra, group theory, topology, complex analysis and differential geometry.
He has also given important contributions to periodic meromorphic functions, Einstein metrics, real algebraic geometry, differentiable structures, topology of algebraic varieties, topology of moduli spaces of curves with automorphisms, uniformization questions.