Gabriele Vezzosi

Gabriele Vezzosi (left) and Bertrand Toen, Oberwolfach 2002

Gabriele Vezzosi (* 1966 ) is an Italian mathematician.

Vezzosi studied physics at the University of Florence with a laureate degree in 1994 (Thesis with Alexandre M. Vinogradov: Algebraic geometry of PDE's and a point of view of quantization) was studied in 1999 at the Scuola Normale Superiore in Pisa with Angelo Vistoli (and Enrico Arbarello in of the jury) (The Chow Ring of the Classifying Stack of ). As a post-doctoral student he was at the University of Bologna and in 2004 he became an assistant professor at the University of Florence, where he became professor of geometry in 2010. In 2013/14 he was also a professor at the University of Paris VII (Denis Diderot, Institut de Mathématiques de Jussieu). ${\displaystyle PGL_{3}}$

Vezzosi deals with algebraic geometry, algebraic topology and category theory ( topos theory ) and founded with Bertrand Toen the Derived geometry (Derived algebraic geometry).

Fonts (selection)

• with AM Vinogradov: On higher order analogues of de Rham cohomology, Differential Geometry and its Applications, Volume 19, 2003, pp. 29-59
• with A. Vistoli: Higher algebraic K-theory of group actions with finite stabilizers, Duke Math. J., Volume 113, 2002, pp. 1-55
• with A. Vistoli: Higher algebraic K-theory for actions of diagonalizable groups, Inventiones Math., Volume 153, 2003, pp. 1-44, Erratum, Inventiones Math., Volume 161, 2005, pp. 219-224
• with tones: Homotopical Algebraic Geometry I, topos theory, Adv. in Math., Volume 193, 2005, pp. 257-372, Part II: Geometric stacks and applications, Memoirs AMS, Volume 193, 2008
• with tones: Brave new algebraic geometry, in: H. Miller, D. Ravenel, Elliptic cohomology, London Math. Soc. LN series 342, Cambridge UP 2007

Web links

• University of Florence

Individual evidence

1. ↑ Gabriele Vezzosi in the Mathematics Genealogy Project (English)
2. ↑ Published in the Journal for Pure and Applied Mathematics, Volume 523, 2000, pp. 1-54