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References

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	~~Hello!~~ <br>~~My name~~ is ~~Marc~~ and I'm a ~~19 years old boy from Green Bay~~.<br><br>~~Check out my website~~ ... [http://~~nbnatural~~.~~com~~/xe/~~index~~.~~php?mid~~=~~free2&document_srl~~=~~847952&sort_index~~=~~regdate&order_type~~=~~desc Size guaide mountain bike sizing~~.]		{{Use dmy dates\|date=May 2013}}
			{{Infobox scientist
			\| name = Jean-Marc Fontaine
			\| image = Jean_Marc_Fontaine.jpg
			\| image_size =
			\| caption =
			\| birth_date = {{birth date and age\|1944\|03\|13\|df=y}}
			\| birth_place = [[Boulogne-Billancourt]]
			\| death_date =
			\| death_place =
			\| nationality = France
			\| fields = Mathematics
			\| workplaces = [[Paris-Sud 11 University]]
			\| alma_mater =
			\| doctoral_advisor = [[Jean-Pierre Serre]]
			\| doctoral_students = [[Christophe Breuil]]<br>[[Olivier Brinon]]<br>[[Pierre Colmez]]<br>[[Jean-Pierre Wintenberger]]
			\| known_for =
			\| awards =
			}}
			'''Jean-Marc Fontaine''' (born 13 March 1944) is a French mathematician. He is one of founders of [[p-adic Hodge theory]]. He is a professor at [[Paris-Sud 11 University]] since 1988.

			== Life ==
			In 1962 Fontaine entered the [[École Polytechnique]], from 1965 to 1971 was a researcher at CNRS and received his doctorate in 1972. From 1971 to 72 he was at the University of Paris VI and from 1972 to 1988 was at the University of Grenoble (only Maître de Conferences, but later a professor). Since 1989 he is professor at the University of Paris-Sud XI in Orsay.

			Among his first works was the classification of [[Barsotti–Tate group\|''p''-divisible groups]] (= Barsotti–Tate group) over the [[ring of integers]] of a local field and the field of [[p-adic period\|''p''-adic periods]], a ''p''-adic analogue of the field of complex numbers. Fontaine is one of the founders of [[p-adic Hodge theory\|<math>p</math>-adic Hodge theory]]. He proved that there are no non-trivial abelian varieties over the rational numbers with good reduction everywhere (''Il n'y a pas de variété abélienne sur Z'', [[Inventiones Mathematicae]] vol. 81, 1985, p. 515). He introduced the concept of [[geometric Galois representation]] of the Galois group of a number field. He also worked on [[Bloch-Kato conjectures]].

			In 1984 he received the [[Prix Carrière]] from the French Academy of Sciences. Since 2002 he is a member of the [[French Academy of Sciences]]. In 2002 he was awarded the [[Gay-Lussac-Humboldt Prize]]. He was an invited speaker at the International Mathematical Congresses in Warsaw 1983 (Representations p-adique) and Beijing 2002 (p-analysis adique et represenatations galoisiennes).

			His students include [[Christophe Breuil]] (1996), [[Pierre Colmez]] and [[Jean-Pierre Wintenberger]].

			== Writings ==
			* ''Groupes p-divisible sur les corps locaux''. Astérisque, Bd.47/48, Societe Mathematique de France, 1977.
			* ''periodes p-adiques.'' Astérisque, Bd.223, 1994.
			* With [[Pierre Berthelot]], [[Luc Illusie]], [[Kazuya Kato]], [[Michael Rapoport]] : ''Cohomologies p-adiques et Arithmétiques applications. Astérisque Bd.278/279, 2002.
			* With [[Barry Mazur]], ''[http://www.dpmms.cam.ac.uk/~ty245/2010_GalRep_L24/Fontaine-Mazur.pdf Geometric Galois representations]''

			== Prizes ==
			* Cours Peccot du Collège de France (1973)
			* Prix Carrière de l'Académie des sciences (1984)
			* Prix Humboldt-Gay Lussac de la foundation Alexander von Humboldt (2002)

			== References ==
			*http://www.academie-sciences.fr/membres/F/Fontaine_JM_bio.htm
			*{{MathGenealogy \|id=56568 }}

			== See also ==
			*[[Fontaine–Mazur conjecture]]

			{{Authority control\|VIAF=192720091}}

			{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
			\| NAME = Fontaine, Jean-Marc
			\| ALTERNATIVE NAMES =
			\| SHORT DESCRIPTION = French mathematician
			\| DATE OF BIRTH = 13 March 1944
			\| PLACE OF BIRTH = [[Boulogne-Billancourt]]
			\| DATE OF DEATH =
			\| PLACE OF DEATH =
			}}
			{{DEFAULTSORT:Fontaine, Jean-Marc}}
			[[Category:1944 births]]
			[[Category:Living people]]
			[[Category:Members of the French Academy of Sciences]]
			[[Category:French mathematicians]]
			[[Category:20th-century mathematicians]]

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