Dipartimento di Matematica Università di Pisa via Buonarroti 2, 56127 Pisa, Italy Email: martelli at dm.unipi.it Office: +39 0502213231 Fax: +39 0502213224 Mobile phone: +39 3289431177

Quand nous chanterons le temps des cerises et gai rossignol et merle moqueur seront tous en fête les belles auront la folie en tête et les amoureux du soleil au cœur Quand nous en serons au temps des cerises sifflera bien mieux le merle moqueur Mais il est bien court le temps des cerises où l'on s'en va deux cueillir en rêvant des pendants d'oreilles cerises d'amour aux robes pareilles tombant sous la feuille en gouttes de sang...

Curriculum Vitae (italian, english, or french)


Research (with papers and preprints)


Didattica (italian only)


Two post-doc positions in Pisa and Rome/Pavia


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)

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