Gabriele Vezzosi

Gabriele Vezzosi
Renate Schmid · CC BY-SA 2.0 de · source
Name	Gabriele Vezzosi
Nationality	Italian
Fields	Algebraic geometry, Derived algebraic geometry
Institutions	Scuola Normale Superiore, Università di Pisa, CNRS
Alma mater	Università di Pisa

Gabriele Vezzosi is an Italian mathematician known for contributions to algebraic geometry and derived algebraic geometry. He has held positions at institutions such as the Scuola Normale Superiore and the Università di Pisa and has collaborated with researchers affiliated with the CNRS and international centers. His work connects themes from deformation theory, moduli spaces, and homotopical algebra alongside interactions with topics studied by Grothendieck, Deligne, and Simpson.

Early life and education

Vezzosi was educated in Italy, completing studies at the Università di Pisa and undertaking doctoral work influenced by traditions stemming from figures such as Jean-Pierre Serre, Alexander Grothendieck, and Pierre Deligne. During his formative years he encountered mathematical environments associated with institutions like the Scuola Normale Superiore, the École Normale Supérieure, and the Institut des Hautes Études Scientifiques, with intellectual links to seminars and schools connected to the Bourbaki group and the University of Cambridge. His early academic network included mathematicians active at the Massachusetts Institute of Technology, Princeton University, and the University of Paris.

Academic career

Vezzosi's academic posts have included professorships and research positions affiliated with the Università di Pisa, the Scuola Normale Superiore, CNRS-associated laboratories, and collaborations with the International Centre for Theoretical Physics and the Max Planck Institute for Mathematics. He has lectured at conferences organized by the European Mathematical Society, the American Mathematical Society, and the Société Mathématique de France, while participating in programs at the Isaac Newton Institute, the Simons Foundation, and the Clay Mathematics Institute. His career has involved cooperation with scholars from Harvard University, Stanford University, the University of Chicago, and ETH Zurich.

Research contributions

Vezzosi's research advances themes in algebraic geometry by developing frameworks that integrate ideas from derived categories, model categories, and higher category theory inspired by Grothendieck's school, Pierre Deligne, and Carlos Simpson. He has worked on derived moduli spaces, deformation quantization, and intersection theory connecting to concepts studied at the Courant Institute, IHÉS, and the Fields Institute. His collaborations and influences span relationships with Maxim Kontsevich, Jacob Lurie, Bertrand Toën, Michel Artin, and Daniel Quillen, engaging techniques from étale cohomology, crystalline cohomology, and homotopical algebra. Results attributed to his research address problems related to virtual fundamental classes, shifted symplectic structures, and stack-theoretic approaches to moduli problems that intersect with work by Nicholas Katz, David Mumford, and Robin Hartshorne.

Awards and honors

Throughout his career Vezzosi has received recognitions tied to Italian and international mathematical societies, participating in prize committees and editorial boards associated with journals published by Springer, Elsevier, and the American Mathematical Society. He has been invited to give plenary and invited talks at meetings organized by the International Mathematical Union, the European Research Council-funded programs, and specialized workshops at the Banff International Research Station and the Newton Institute. His service includes roles in institutions such as the Accademia Nazionale dei Lincei and collaborations supported by the CNRS and the European Commission's research frameworks.

Selected publications

- Papers on derived algebraic geometry and moduli problems published in journals aligned with publishers like Springer and the American Mathematical Society, often in collaboration with Bertrand Toën, Jacob Lurie, and Michel Vaquié. These works relate to themes present in the literature of Alexander Grothendieck, Pierre Deligne, and Maxim Kontsevich. - Articles addressing deformation theory, intersection theory, and virtual classes in venues connected to the Institute of Mathematical Statistics and journals frequented by researchers from Princeton University, Harvard University, and ETH Zurich. - Contributions to collected volumes and conference proceedings associated with the International Congress of Mathematicians, the Clay Mathematics Proceedings, and seminars held at the Institut des Hautes Études Scientifiques.

Category:Italian mathematicians Category:Algebraic geometers