Bertrand Toën (born September 17, 1973 in

Millau Millau (; ) is a commune in Occitania, France. Located at the confluence of the Tarn and Dourbie rivers, the town is a subprefecture of the Aveyron department. Millau is known for its Viaduct, glove industry and several nearby natural ...

, France) is a mathematician who works as a director of research at the

Centre national de la recherche scientifique The French National Centre for Scientific Research (, , CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 staff, including 11,137 tenured researchers, 13,415 eng ...

(CNRS) at the

Paul Sabatier University Paul Sabatier University (''Université Paul Sabatier'' , UPS, also known as Toulouse III) was a French university, in the Academy of Toulouse. It was one of the several successor universities of the University of Toulouse, established in 1229, m ...

, 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 ...

and Joseph Tapia. Toën is a specialist of

algebraic geometry Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...

. He his best known for his systematic use of

homotopical In topology, two continuous functions from one topological space to another are called homotopic (from and ) if one can be "continuously deformed" into the other, such a deformation being called a homotopy ( ; ) between the two functions. A ...

methods in algebraic geometry. Together with Gabriele Vezzosi and

Jacob Lurie Jacob Alexander Lurie (born December 7, 1977) is an American mathematician who is a professor at the Institute for Advanced Study. In 2014, Lurie received a MacArthur Fellowship. Lurie's research interests are algebraic geometry, topology, and ...

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 In mathematics, higher category theory is the part of category theory at a ''higher order'', which means that some equalities are replaced by explicit morphism, arrows in order to be able to explicitly study the structure behind those equalities. H ...

. 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 geo ...

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, nondegenerate 2-form. Symplectic geometry has its origins in the ...

. He was an

invited speaker at the International Congress of Mathematicians An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to w ...

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 awarded by the French Academy of Sciences to researchers who have carried out fundamental research in mathematics. The award has been conferred every year ...

References

External links

Home pageBertrand Toën
at the

Mathematics Genealogy Project The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians.. it contained information on 300,152 mathematical scientists who contributed to research-level mathematics. For a typical mathematicia ...

{{DEFAULTSORT:Toën, Bertrand 1973 births Living people French mathematicians Research directors of the French National Centre for Scientific Research