Research interests

• Birational geometry, classification of algebraic varieties and of their degenerations.
• Minimal model program.
• Algebraic curves, their families and their moduli.
• Jacobians, abelian varieties.
• Geometry of the embeddings in projective spaces.
• Algebraic surfaces and their moduli.
• Moduli spaces of vector bundles on curves.
• Moduli spaces of sheaves on K3 surfaces.
• Hyperkaehler manifolds.
• Holomorphic dynamics, residues, hyperbolicity.
• Elliptic curve cryptography and post-quantum cryptography, isogeny based cryptography and isogeny graphs
• Abelian varieties over number fields.
• Algebraic curves over finite fields.
• Arithmetic properties of algebraic varieties.
• Arakelov class groups.
• Group schemes.

People

• Ciro Ciliberto (Emeritus Professor)
• Giulio Codogni (Associate Professor)
• Vincenzo Di Gennaro (Associate professor)
• Flaminio Flamini (Full professor)
• Giambattista Marini (Assistant professor)
• Guido Lido (TDA Researcher)
• Giuseppe Pareschi (Full professor)
• Antonio Rapagnetta (Full professor)
• Rene' Schoof (Full professor)
• Francesca Tovena (Associate professor)
• Filippo Viviani (Full professor)
• PhD Students

 

Links

Algebraic Geometry Seminar

Networks, Conferences, Lecture Series in the Algebraic Geometry Area

Roman Number Theory Association

Number Theory Conferences

Arithmetic Geometry meetings