Marcel Berger

After studying from 1948 to 1951 at the École normale supérieure in Paris, Berger obtained in 1954 his PhD from the University of Paris, with thesis written under the direction of André Lichnerowicz.{{MathGenealogy|id=36696}} From 1958 to 1964 he taught at the University of Strasbourg and had visiting positions at the Massachusetts Institute of Technology and the University of California, Berkeley. From 1964 to 1966 he taught at the University of Nice, after which he joined the University of Paris VII. From 1985 to 1993 he served as director of the IHÉS.

Formerly residing in Le Castera in Lasseube, Berger was instrumental in Mikhail Gromov's accepting positions both at the University of Paris and at the IHÉS.{{Cite web |url=http://smf.emath.fr/content/d%C3%A9c%C3%A8s-de-marcel-berger |title=Décès de Marcel Berger | Société Mathématique de France |access-date=2016-10-19 |archive-url=https://web.archive.org/web/20161022191528/http://smf.emath.fr/content/d%C3%A9c%C3%A8s-de-marcel-berger |archive-date=2016-10-22 |url-status=dead }}

• 1956 Prix Peccot, Collège de France
• 1962 Prix Maurice Audin
• 1969 Prix Carrière, Académie des Sciences
• 1978 Prix Leconte, Académie des Sciences
• 1979 Prix Gaston Julia
• 1979–1980 President of the French Mathematical Society.{{Cite web |url=http://smf.emath.fr/content/anciens-presidents |title=Anciens Présidents | Société Mathématique de France |access-date=2016-10-23 |archive-url=https://web.archive.org/web/20161024023304/http://smf.emath.fr/content/anciens-presidents |archive-date=2016-10-24 |url-status=dead }}
• 1991 Lester R. Ford Award{{cite journal|last=Berger|first=Marcel Y.|title=Convexity|journal=The American Mathematical Monthly|volume=97|year=1990|issue=8 |pages=650–678|url=http://www.maa.org/programs/maa-awards/writing-awards/convexity|doi=10.2307/2324573|jstor=2324573 }}

• Berger, Marcel: Sur les groupes d'holonomie homogène des variétés à connexion affine et des variétés riemanniennes. (French) Bull. Soc. Math. France 83 (1955), 279–330.
• Berger, Marcel: Les espaces symétriques noncompacts. (French) Ann. Sci. École Norm. Sup. (3) 74 1957 85–177.
• Berger, M.: Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive. (French) Ann. Scuola Norm. Sup. Pisa (3) 15 1961 179–246.
• Berger, Marcel; Gauduchon, Paul; Mazet, Edmond: Le spectre d'une variété riemannienne. (French) Lecture Notes in Mathematics, Vol. 194 Springer-Verlag, Berlin-New York 1971.
• {{cite book | last=Besse | first=A. L. | title=Manifolds all of whose Geodesics are Closed | publisher=Springer-Verlag | publication-place=Berlin Heidelberg | date=1978 | isbn=978-3-540-08158-6}}
• {{cite book | last1=Berger | first1=Marcel | last2=Gostiaux | first2=Bernard | translator-first=Silvio | translator-last=Levy | title=Differential Geometry: manifolds, curves, and surfaces | series=Graduate Texts in Mathematics | publisher=Springer | publication-place=New York | date=1988 | isbn=978-0-387-96626-7}}
• Berger, Marcel: Systoles et applications selon Gromov. (French) [Systoles and their applications according to Gromov] Séminaire Bourbaki, Vol. 1992/93. Astérisque No. 216 (1993), Exp. No. 771, 5, 279–310.
• Berger, Marcel: [https://archive.org/details/riemanniangeomet0000berg Riemannian geometry during the second half of the twentieth century]. Reprint of the 1998 original. University Lecture Series, 17. American Mathematical Society, Providence, Rhode Island, 2000. x+182 pp. {{ISBN|0-8218-2052-4}}
• {{cite journal|last = Berger|first = Marcel|title = Encounter with a Geometer, Part I|journal = Notices of the AMS|volume = 47|issue = 2|pages = 183–194|date = Feb 2000|url = https://www.ams.org/notices/200002/fea-berger.pdf}}
• {{cite journal|last = Berger|first = Marcel|title = Encounter with a Geometer, Part II|journal = Notices of the AMS|volume = 47|issue = 3|pages = 326–340|date = Mar 2000|url = https://www.ams.org/notices/200003/fea-berger.pdf}}
• {{cite book|last = Berger|first = Marcel|title = A Panoramic View of Riemannian Geometry|publisher = Springer-Verlag|year = 2003 |url = https://books.google.com/books?id=d_SsagQckaQC |isbn = 3-540-65317-1 }} {{Cite journal|last=Osserman|first=Robert|date=2005-01-01|title=Review of A Panoramic View of Riemannian Geometry|jstor=20453617|journal=SIAM Review|volume=47|issue=1|pages=186–188|doi=10.1137/SIREAD000047000001000163000001}}{{Cite journal|last=Giblin|first=Peter|date=2005-01-01|title=Review of A Panoramic View of Riemannian Geometry|jstor=3620688|journal=The Mathematical Gazette|volume=89|issue=514|pages=162–163|doi=10.1017/s0025557200177289|s2cid=126075408 }}
• {{cite book | last=Besse | first=Arthur L. | title=Einstein Manifolds | publisher=Springer-Verlag | publication-place=Berlin Heidelberg | date=2007 | isbn=978-3-540-74120-6}}
• Berger, M.: What is... a Systole? Notices of the AMS 55 (2008), no. 3, 374–376. [https://www.ams.org/notices/200803/tx080300374p.pdf online text]
• {{cite book | last=Berger | first=Marcel | translator-first1=M. | translator-last1=Cole | translator-first2=S. | series=Universitext | translator-last2=Levy | title=Geometry I | publisher=Springer-Verlag | publication-place=Berlin; New York | date=2009 | isbn=978-3-540-11658-5}}
• {{cite book | last=Berger | first=Marcel | translator-first1=M. | translator-last1=Cole | translator-first2=S. | translator-last2=Levy | title=Geometry II | series=Universitext | publisher=Springer-Verlag | publication-place=Berlin; New York | date=2009 | isbn=978-3-540-17015-0}}
• {{cite book | last=Berger | first=Marcel | title=Geometry Revealed | publisher=Springer | publication-place=Heidelberg; New York | date=2010 | url=https://books.google.com/books?id=pN0iAVavPR8C | isbn=978-3-540-70996-1 | oclc=280446977}}

• Arthur Besse
• Berger's inequality for Einstein manifolds
• Berger–Kazdan comparison theorem
• Musical isomorphism
• Parametrix
• Quaternion-Kähler manifold
• Spin(7)-manifold
• Symmetric space
• Systolic geometry

{{reflist}}

• Claude LeBrun (Editor and Translator). "[https://www.ams.org/publications/journals/notices/201711/rnoti-p1285.pdf Marcel Berger Remembered]", Notices of the American Mathematical Society, December 2017, Volume 64, Number 11, pp. 1285–1295.

• {{cite web|url=http://www.academie-sciences.fr/academie/membre/Berger_Marcel.htm|title=Correspondant de l'Académie des sciences: Marcel Berger|language=fr|publisher=French Academy of Sciences|website=www.academie-sciences.fr|archive-url=https://web.archive.org/web/20141021192249/http://www.academie-sciences.fr/academie/membre/Berger_Marcel.htm |archive-date=2014-10-21 }}

{{Authority control}}

{{DEFAULTSORT:Berger, Marcel}}

Category:1927 births

Category:2016 deaths

Category:University of Paris alumni

Category:20th-century French mathematicians

Category:21st-century French mathematicians

Category:Members of the French Academy of Sciences

Category:French geometers

Category:Differential geometers

Category:French textbook writers