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[[File:Bertrand Toen 2019.jpg|thumb|Bertrand Toën]]
[[File:Bertrand Toen 2019.jpg|thumb|Bertrand Toën]]
'''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]], Toulouse, France. He received his PhD in 1999 from the [[Paul Sabatier University]], where he was supervised by [[Carlos Simpson]] and [[Joseph Tapia]].
'''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]], Toulouse, France. He received his PhD in 1999 from the [[Paul Sabatier University]], where he was supervised by [[Carlos Simpson]] 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]] and [[Jacob Lurie]] he has laid the foundations of the subject of [[derived algebraic geometry]]<ref name=e4>{{Citation|url=https://perso.math.univ-toulouse.fr/btoen/files/2012/04/dag-ems.pdf |title=B. Toën, Derived Algebraic Geometry. EMS Surv. Math. Sci. 1 (2014), no. 2, 153–245 }}</ref><ref name=kakc>{{Citation|url=https://www.ams.org/notices/201107/rtx110700955p.pdf|title=G. Vezzosi, What is.... a derived stack?}}</ref> and [[higher category theory]].<ref name=lurie>{{Citation | last1=Lurie | first1=Jacob | title=[[Higher Topos Theory]] | arxiv=math.CT/0608040 | publisher=[[Princeton University Press]] | series=Annals of Mathematics Studies | isbn=978-0-691-14049-0 | mr=2522659 | year=2009 | volume=170}}</ref> His works establish several contributions to [[noncommutative algebraic geometry]] in the sense of [[Kontsevich]] and (shifted) [[symplectic geometry]].<ref name=e624>{{Citation|title=B. Toën, M. Vaquié, T. Pantev, G. Vezzosi) Shifted symplectic structures. Publ. Math. Inst. Hautes Études Sci. 117 (2013), 271–328.}}</ref>
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]]<ref name=e4>{{Citation|url=https://perso.math.univ-toulouse.fr/btoen/files/2012/04/dag-ems.pdf |title=B. Toën, Derived Algebraic Geometry. EMS Surv. Math. Sci. 1 (2014), no. 2, 153–245 }}</ref><ref name=kakc>{{Citation|url=https://www.ams.org/notices/201107/rtx110700955p.pdf|title=G. Vezzosi, What is.... a derived stack?}}</ref> and [[higher category theory]].<ref name=lurie>{{Citation | last1=Lurie | first1=Jacob | title=[[Higher Topos Theory]] | arxiv=math.CT/0608040 | publisher=[[Princeton University Press]] | series=Annals of Mathematics Studies | isbn=978-0-691-14049-0 | mr=2522659 | year=2009 | volume=170}}</ref> His works establish several contributions to [[noncommutative algebraic geometry]] in the sense of [[Kontsevich]] and (shifted) [[symplectic geometry]].<ref name=e624>{{Citation|title=B. Toën, M. Vaquié, T. Pantev, G. Vezzosi) Shifted symplectic structures. [[Publ. Math. Inst. Hautes Études Sci.]] 117 (2013), 271–328.}}</ref>


He was an [[list of International Congresses of Mathematicians Plenary and Invited Speakers|invited speaker at the International Congress of Mathematicians]] in 2014, speaking in the section on "Algebraic and Complex Geometry"<ref name=e35>{{citation|url=http://www.mathunion.org/db/ICM/Speakers/SortedByLastname.php|title=ICM Plenary and Invited Speakers since 1897|publisher=[[International Mathematical Union]]|accessdate=2015-10-01|archive-date=2017-11-24|archive-url=https://web.archive.org/web/20171124141541/http://www.mathunion.org/db/ICM/Speakers/SortedByLastname.php|url-status=dead}}.</ref> with a talk "Derived Algebraic Geometry and Deformation Quantization".<ref name=e3>{{Citation|url=https://perso.math.univ-toulouse.fr/btoen/files/2012/04/icm2014.pdf|title=Derived Algebraic Geometry and Deformation Quantization ICM-2014}}</ref>
He was an [[list of International Congresses of Mathematicians Plenary and Invited Speakers|invited speaker at the International Congress of Mathematicians]] in 2014, speaking in the section on "Algebraic and Complex Geometry"<ref name=e35>{{citation|url=http://www.mathunion.org/db/ICM/Speakers/SortedByLastname.php|title=ICM Plenary and Invited Speakers since 1897|publisher=[[International Mathematical Union]]|accessdate=2015-10-01|archive-date=2017-11-24|archive-url=https://web.archive.org/web/20171124141541/http://www.mathunion.org/db/ICM/Speakers/SortedByLastname.php|url-status=dead}}.</ref> with a talk "Derived Algebraic Geometry and Deformation Quantization".<ref name=e3>{{Citation|url=https://perso.math.univ-toulouse.fr/btoen/files/2012/04/icm2014.pdf|title=Derived Algebraic Geometry and Deformation Quantization ICM-2014}}</ref>

Revision as of 23:21, 30 January 2024

Bertrand Toën

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, Toulouse, France. He received his PhD in 1999 from the Paul Sabatier University, where he was supervised by Carlos Simpson 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 and Jacob Lurie he has laid the foundations of the subject of derived algebraic geometry[1][2] and higher category theory.[3] His works establish several contributions to noncommutative algebraic geometry in the sense of Kontsevich and (shifted) symplectic geometry.[4]

He was an invited speaker at the International Congress of Mathematicians in 2014, speaking in the section on "Algebraic and Complex Geometry"[5] with a talk "Derived Algebraic Geometry and Deformation Quantization".[6]

He was awarded an ERC Advanced Grant in 2016.[7] In 2019 he received the Sophie Germain prize.[8]

References

  1. ^ B. Toën, Derived Algebraic Geometry. EMS Surv. Math. Sci. 1 (2014), no. 2, 153–245 (PDF)
  2. ^ G. Vezzosi, What is.... a derived stack? (PDF)
  3. ^ Lurie, Jacob (2009), Higher Topos Theory, Annals of Mathematics Studies, vol. 170, Princeton University Press, arXiv:math.CT/0608040, ISBN 978-0-691-14049-0, MR 2522659
  4. ^ B. Toën, M. Vaquié, T. Pantev, G. Vezzosi) Shifted symplectic structures. Publ. Math. Inst. Hautes Études Sci. 117 (2013), 271–328.
  5. ^ ICM Plenary and Invited Speakers since 1897, International Mathematical Union, archived from the original on 2017-11-24, retrieved 2015-10-01.
  6. ^ Derived Algebraic Geometry and Deformation Quantization ICM-2014 (PDF)
  7. ^ "INSMI - Institut national des sciences mathématiques et de leurs interactions - Les lauréats ERC Advanced Grants 2016". www.cnrs.fr.
  8. ^ "Lauréat 2019 du prix Sophie Germain : Bertrand Toën | Lauréats | Prix et médailles | Encourager la vie scientifique". www.academie-sciences.fr.
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