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Nicolas Bergeron

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Nicolas Bergeron
Bergeron in 2004
Born(1975-12-19)19 December 1975
Died15 February 2024(2024-02-15) (aged 48)
NationalityFrench
AwardsMédaille de bronze du CNRS (2007), Prix fondé par l'Etat (2023)
Scientific career
FieldsMathematics, Number Theory, Geometry, Topology
InstitutionsPierre and Marie Curie University
Doctoral advisorJean-Pierre Otal

Nicolas Bergeron (19 December 1975 – 15 February 2024) was a French mathematician who worked in Pierre and Marie Curie University in Paris.

Early career

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Bergeron obtained his PhD at École normale supérieure de Lyon in the year 2000 under the supervision of Jean-Pierre Otal. His thesis was titled Cycles géodésiques dans les variétés hyperboliques ("geodesic cycles in hyperbolic varieties").[1]

Work

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Bergeron's main interests concerned the geometry and topology of locally symmetric spaces and arithmetic groups, as well as their cohomology,[2] and their connection to number theory, in particular to Hilbert's 12th problem.[3][4]

Some of his publications showed an interest in Oulipo, referencing An Attempt at Exhausting a Place in Paris by Georges Perec.[5] He also wrote a (non-mathematical) article about Jacques Roubaud.[6]

Bergeron was latterly a member of the editorial board of the journal Publications Mathématiques de l'IHÉS.[7]

Death

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Bergeron died on 15 February 2024, at the age of 48.[8]

Publications

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  • Bergeron, Nicolas; Clozel, Laurent (2005). Spectre automorphe des variétés hyperboliques et applications topologiques (in French). Paris: Société mathématique de France. ISBN 2-85629-186-4. OCLC 70784273.
  • Bergeron, Nicolas; Wise, Daniel T. (2012). "A Boundary Criterion for Cubulation". American Journal of Mathematics. 134 (3). The Johns Hopkins University Press: 843–859. ISSN 0002-9327. JSTOR 23240564. Retrieved 22 November 2022.
  • "Exposé Bourbaki 1055 : La conjecture des sous-groupes de surfaces d'après Jeremy Kahn et Vladimir Markovic". Société Mathématique de France (in French). Retrieved 22 November 2022.
  • Nicolas Bourbaki Seminar 2013–2014 no. 1078 Toute variété de dimension 3 compacte et asphérique est virtuellement de Haken ("Every 3-Dimensional Compact Ashperical Variety is Virtually Haken") (following Ian Agol, Daniel Wise)
  • Bergeron edited a few articles for the site Images des mathématiques du CNRS.[9]
  • Le spectre des surfaces hyperboliques ("The Spectrum of Hyperbolic Surfaces") (EDP Sciences – Collection : Savoirs Actuels – September 2011)[10]
  • with Akshay Venkatesh: The asymptotic growth of torsion homology for arithmetic, groups, J. Inst. Math Jussieu 12 (2013), no.2, 391-447.
  • with John Millson and Colette Moeglin: The Hodge conjecture and arithmetic quotients of complex balls, Acta Math. 216 (2016), no. 1, 1–125.
  • With 14 co-authors, Uniformisation des surfaces de Riemann ("Uniformization of Riemann Surfaces").[11][12]
  • Nicolas Bergeron; Pierre Charollois; Luis García. Cocycles de groupes pour GLn et arrangements d'hyperplans. (AMS-CRM vol. 39 - 2023).[13]

Awards and prizes

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  • Bergeron won the Médaille de bronze du CNRS in 2007[14]
  • Bergeron was a Takagi lecturer in 2018.[17]
  • Bergeron was a Aisenstadt chair lecturer in Montréal in 2020.[18]
  • Bergeron received the Prix fondé par l'Etat from French Académie des Sciences in 2023.[19]

References

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  1. ^ "Nicolas Bergeron – The Mathematics Genealogy Project". www.mathgenealogy.org.
  2. ^ "His webpage".
  3. ^ Bergeron, Nicolas; Charollois, Pierre; García, Luis (2023). "Elliptic units for complex cubic fields (on Eisenstein's Jugendtraum)". preprint Arxiv.
  4. ^ "video link "On Eisenstein's Jugendtraum for complex cubic fields" 9-3-2023". Max Planck Institute.
  5. ^ "L'arithmétique des formes" (PDF).
  6. ^ "Images des mathématiques". images.math.cnrs.fr.
  7. ^ "The Publications mathématiques de l'IHES". IHES. 11 January 2023. Retrieved 14 April 2023.
  8. ^ "Tribute to Nicolas Bergeron (1975 – 2024)". IHES. Retrieved 18 February 2024.
  9. ^ "Images des mathématiques". images.math.cnrs.fr.
  10. ^ "Le spectre des surfaces hyperboliques". laboutique.edpsciences.fr.
  11. ^ "ENS Éditions" (PDF).
  12. ^ Henri Paul de Saint-Gervais is the pseudonym of a group of 15 mathematicians, working together for a week in 2007 at Saint-Gervais-la-Forêt, in Sologne : Aurélien Alvarez, Christophe Bavard, François Béguin, Nicolas Bergeron, Maxime Bourrigan, Bertrand Deroin, Sorin Dumitrescu, Charles Frances, Étienne Ghys, Antonin Guilloux, Frank Loray, Patrick Popescu-Pampu, Pierre Py, Bruno Sévennec et Jean-Claude Sikorav.
  13. ^ "AMS-CRM vol. 39".
  14. ^ "Palmarès 2007".
  15. ^ Institut universitaire de France (ed.). "Nicolas Bergeron". iufrance.fr (in French). Retrieved 1 May 2021.
  16. ^ Bergeron, N. (2018), "Hodge theory and cycle theory of locally symmetric spaces", Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures., Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática
  17. ^ "Takagi lectures" (PDF). 2018.
  18. ^ "Aisenstadt chair 2020".
  19. ^ "Prix 2023".
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