Algebraic Geometry

Research interests

• Moduli spaces of curves and abelian varieties, Schottky problem, KP equations, modular forms and their connection with vertex algebras

• K-stability, in connection with geometric invariant theory, birational geometry, and Tits buildings 

• Fano varieties

• Super geometry and moduli space of super symmetric curves

Miscellanea

Sketch of KdV is a great survey by Enrico Arbarello about some of the topics I am interested in.  Un'interpretazione geometrica di alcune formule notevoli is a note which I have written in Italian about similar topics.

Modularity of the minimal model programme are the slides for a talk I gave at the Congress of the Italian Mathematica Society, Pavia, September 2019

Minimal Model Program: contract your bad curves! this is a poster by Andrea Fanelli and Diletta Martinelli, illustrating some of the driven ideas of contemporary algebraic geometry 

Ample cone of KSB moduli spaces and higher dimensional slope inequalities an on-line talk I gave at the EDGE conference 2020

Seminars

• Geometry Seminars at Tor Vergata

• Aeneas Talks

Some conferences I have co-organized:

• An Induction Day to Super-Geometry  23 April 2014

• Algebraic Geometry and Representation Theory in Rome 18 -19 December 2014 

• Algebraic Geometry and Representation Theory in Rome, 22 December 2016

• Moduli of K-stable varieties, INdAM workshop ,Rome, 10-14 July 2017   Conference photos

• Aeneas Conference - 20-21 December 2018