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Bertrand Toën

Toën is a specialist of algebraic geometry. He his best known for his systematic use of homotopical methods in algebraic geometry. Together with Gabriele Vezzosi and Jacob Lurie he has laid the foundations of the subject of derived algebraic geometry and higher category theory. His works establish several contributions to noncommutative algebraic geometry in the sense of Kontsevich and (shifted) symplectic geometry.
He was an invited speaker at the International Congress of Mathematicians in 2014, speaking in the section on "Algebraic and Complex Geometry" with a talk "Derived Algebraic Geometry and Deformation Quantization".
He was awarded an ERC Advanced Grant in 2016. In 2019 he received the Sophie Germain prize. Provided by Wikipedia