Gabriele Vezzosi

Biography

EDUCATION and POSITIONS - October 10, 1994 - degree in Physics (110/110 cum laude) University of Florence, title of Thesis ' Algebraic Geometry of PDE's and a Point of View on Quantization '', Advisor Prof. Alexandre M. Vinogradov (Moscow); - December 1995 - December 1998: PhD Program in Mathematics at the Scuola Normale Superiore (Pisa, Italy); - May 13, 1999 - PhD Thesis 'defense (70/70 cum laude) `The Chow ring of the classifying stack of PGL_3' at Scuola Normale Superiore (Pisa, Italy) (Advisor: Prof. A. Vistoli (Bologna) Jury: Prof. E. Arbarello (SNS, Pisa), Dr. B. Totaro (Cambridge), Prof. G. Tomassini (SNS, Pisa), Dr. M. Manetti (SNS, Pisa); - March 1999-December 2003: PostDoc position at the Department of Mathematics of the University of Bologna, on the Project `` Intersection Theory ''; - 26 February 2001, Qualification as Maitre de Conferences (Section 25 -Mathematiques) by Ministère de l'Education Nationale (France); - February 2003, winner of an Assistant Professor position in Geometry (MAT-03), Faculty of Engineering, University of Florence; - January 2004 - 29 December 2010, Assistant Professor in Geometry (MAT-03) at the Department of Applied Mathematics `G. Samson '', Faculty of Engineering of the University of Florence. - February 2006, winner of a Contest (Job Competition in English, Concours in French) as Full Professor (PR1) in Geometry - National Job Competition held at the University of Bologna - Italy. - March 2009, Qualification à Professeur by Ministry of Education Nationale (France). - 30 December 2010 - present, permanent full professor position in Geometry at the University of Florence (Italy) On leave since January 2013. - October 2010, shortlisted for Full Professor position in Geometry at ETH, Z. urich (Switzerland) May 15, 2012, qualified first in Concours à Professeur, Université Diderot - Paris 7, Paris, France - January 2013 - resigned July 2014, Professeur at Institut de Mathématiques de Jussieu, Université Diderot - Paris 7, Paris, France. - July 2014 - present, Full Professor of Geometry, Department of Mathematics and Informatics' Ulisse Dini '' University of Florence (Italy).

Research Interest

Algebraic Geometry Higher stacks. Equivariant algebraic K-theory and equivariant intersection theory. Homotopical and derived algebraic geometry. Modules spaces and derived modules spaces. Deformation Theory. dg-derived categories. Derived non-abelian Hodge theory. Derived motives. Derived symplectic and Poisson geometry. Deformation quantization of module spaces. Algebraic cycles. Algebraic Topology Model categories. Simplicial and Segal categories. Waldhausen K-theory. Geometry over ring spectra. Topological modular forms. Arithmetic aspects of stable homotopy theory.