Bertrand Toën (born September 17, 1973 in Millau, France) is a mathematician who works as a director of research at the Centre national de la recherche scientifique (CNRS) at the

Paul Sabatier University Paul Sabatier University (''Université Paul Sabatier'', UPS, also known as Toulouse III) is a French public university, in the Academy of Toulouse. It is one of the several successor universities of the University of Toulouse. Toulouse III was ...

, Toulouse, France. He received his PhD in 1999 from the

, where he was supervised by

Carlos Simpson Carlos Tschudi Simpson (born 30 June 1962) is an American mathematician, specializing in algebraic geometry. Simpson received his Ph.D. in 1987 from Harvard University, where he was supervised by Wilfried Schmid; his thesis was titled ''Systems of ...

and Joseph Tapia. 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 Gabriele Vezzosi is an Italian mathematician, born in Florence (Italy). His main interest is algebraic geometry. Vezzosi earned an MS degree in Physics at the University of Florence, under the supervision of Alexandre M. Vinogradov, and a PhD in ...

and Jacob Lurie he has laid the foundations of the subject of

derived algebraic geometry Derived algebraic geometry is a branch of mathematics that generalizes algebraic geometry to a situation where commutative rings, which provide local charts, are replaced by either differential graded algebras (over \mathbb), simplicial commutative ...

and higher category theory. His works establish several contributions to

noncommutative algebraic geometry Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric properties of formal duals of non-commutative algebraic objects such as rings as well as geome ...

in the sense of Kontsevich and (shifted)

symplectic geometry Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed differential form, closed, nondegenerate form, nondegenerate different ...

. He was an

invited speaker at the International Congress of Mathematicians This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." ...

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 The Sophie Germain Prize (in French: ''Prix Sophie Germain'') is an annual mathematics prize from the French Academy of Sciences conferred since the year 2003. It is named after the French mathematician Sophie Germain, and comes with a prize of � ...

References

External links

Home pageBertrand Toën
at the Mathematics Genealogy Project {{DEFAULTSORT:Toën, Bertrand 1973 births Living people French mathematicians Research directors of the French National Centre for Scientific Research