Research (with papers and preprints)

Didattica (italian only)

Some lecture notes I wrote:

• Corso di topologia del 2006 e esercizi del 2005
• Four-manifolds in 2008 (unpolished and without pictures)
• Geometria iperbolica in 2011 (polished and with pictures... but in italian)

Ricevimento studenti: sono all'IRMA (Strasburgo) dal 1 aprile al 31 maggio.

INdAM Meeting Geometric topology in Cortona 3-7 June 2013

Mini-workshop Hyperbolic geometry and mapping class groups, Pisa 12-13 June 2013

If I were a Springer-Verlag Graduate Text in Mathematics, I would be Joe Harris's Algebraic Geometry: A First Course. I am intended to introduce students to algebraic geometry; to give them a sense of the basic objects considered, the questions asked about them, and the sort of answers one can expect to obtain. I thus emphasize the classical roots of the subject. For readers interested in simply seeing what the subject is about, I avoid the more technical details better treated with the most recent methods. For readers interested in pursuing the subject further, I will provide a basis for understanding the developments of the last half century, which have put the subject on a radically new footing. Based on lectures given at Brown and Harvard Universities, I retain the informal style of the lectures and stresses examples throughout; the theory is developed as needed. My first part is concerned with introducing basic varieties and constructions; I describe, for example, affine and projective varieties, regular and rational maps, and particular classes of varieties such as determinantal varieties and algebraic groups. My second part discusses attributes of varieties, including dimension, smoothness, tangent spaces and cones, degree, and parameter and moduli spaces. Which Springer GTM would you be? The Springer GTM Test