Barbara FantechiBarbara Fantechi is an Italian mathematician and Professor at the International School for Advanced Studies. Her research area is algebraic geometry. She is a member of the Accademia dei Lincei.WWW barbarafantechi.comEarly life and educationFantechi received her Laurea from the University of Pisa in 1988, with thesis Secanti di varietà proiettive e applicazioni. Her doctoral advisor was Fabrizio Catanese.Research and careerHer research considers algebraic geometry. She has developed the mathematical theories that underpin algebraic stacks. Stacks were first introduced to understand the moduli space of curves.Honours and awardsIn 2018, Fantechi received the Prof. Luigi Tartufari award from the Accademia dei Lincei. She was awarded the MSRI Chancellor's Professorship for 2017-2018, and spent a year at the University of California, Berkeley. In 2022, Fantechi was the first woman mathematician to become a member of the Accademia dei Lincei.Publications*