Alain Connes - Revision history

Suslindisambiguator: /* External links */ added commons-cat & wikiquote templates

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	==External links==		==External links==
			{{commons-cat}}
			{{wikiquote}}
	* [http://www.alainconnes.org/ Alain Connes Official Web Site] containing [http://www.alainconnes.org/en/downloads.php downloadable papers], and his book [http://www.alainconnes.org/docs/book94bigpdf.pdf ''Non-commutative geometry''], {{isbn\|0-12-185860-X}}.		* [http://www.alainconnes.org/ Alain Connes Official Web Site] containing [http://www.alainconnes.org/en/downloads.php downloadable papers], and his book [http://www.alainconnes.org/docs/book94bigpdf.pdf ''Non-commutative geometry''], {{isbn\|0-12-185860-X}}.
	* {{nlab\|id=Alain+Connes\|title=Alain Connes}}		* {{nlab\|id=Alain+Connes\|title=Alain Connes}}

Suslindisambiguator: added section == Family == with reference to interview by Allyn Jackson; added wikipedia link to Henri Moscovici

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added section == Family == with reference to interview by Allyn Jackson; added wikipedia link to Henri Moscovici

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	Following this, he made contributions in [[K-theory\|operator K-theory]] and [[index theory]], which culminated in the [[Baum–Connes conjecture]]. He also introduced [[cyclic homology\|cyclic cohomology]] in the early 1980s as a first step in the study of [[noncommutative geometry\|noncommutative differential geometry]].<ref>{{Cite journal \|last=Moore \|first=Calvin \|author-link=Calvin C. Moore \|date=1982 \|title=The work of Alain Connes \|url=https://www.ams.org/journals/notices/198210/198210FullIssue.pdf?cat=fullissue&trk=fullissue198210 \|journal=[[Notices of the American Mathematical Society]] \|volume=29 \|issue=6 \|pages=499–501}}</ref><ref>{{Cite journal \|last=Seda \|first=Anthony Karel \|date=1984 \|title=One aspect of the work of Alain Connes \|url=https://www.irishmathsoc.org/nl11/nl11_38-48.pdf \|journal=[[Irish Mathematical Society#Bulletin of the Irish Mathematical Society\|Irish Mathematical Society Newsletter]] \|volume=11 \|pages=38–48\|doi=10.33232/BIMS.0011.38.48 }}</ref><ref>{{Cite journal \|last=Lesniewski \|first=Andrew \|date=1997 \|title=Noncommutative Geometry \|url=https://www.ams.org/notices/199707/lesniewski.pdf \|journal=[[Notices of the American Mathematical Society]] \|volume=44 \|issue=7 \|pages=800–805}}</ref><ref>{{Cite journal \|last1=Cornelissen \|first1=Gunther \|last2=Landsman \|first2=Klaas \|last3=van Suijlekom \|first3=Walter \|date=2010 \|title=The flashes of insight never came for free \|url=https://www.nieuwarchief.nl/serie5/pdf/naw5-2010-11-4-250.pdf \|journal=[[Nieuw Archief voor Wiskunde]] \|volume=11 \|issue=5 \|pages=250–256}}</ref>		Following this, he made contributions in [[K-theory\|operator K-theory]] and [[index theory]], which culminated in the [[Baum–Connes conjecture]]. He also introduced [[cyclic homology\|cyclic cohomology]] in the early 1980s as a first step in the study of [[noncommutative geometry\|noncommutative differential geometry]].<ref>{{Cite journal \|last=Moore \|first=Calvin \|author-link=Calvin C. Moore \|date=1982 \|title=The work of Alain Connes \|url=https://www.ams.org/journals/notices/198210/198210FullIssue.pdf?cat=fullissue&trk=fullissue198210 \|journal=[[Notices of the American Mathematical Society]] \|volume=29 \|issue=6 \|pages=499–501}}</ref><ref>{{Cite journal \|last=Seda \|first=Anthony Karel \|date=1984 \|title=One aspect of the work of Alain Connes \|url=https://www.irishmathsoc.org/nl11/nl11_38-48.pdf \|journal=[[Irish Mathematical Society#Bulletin of the Irish Mathematical Society\|Irish Mathematical Society Newsletter]] \|volume=11 \|pages=38–48\|doi=10.33232/BIMS.0011.38.48 }}</ref><ref>{{Cite journal \|last=Lesniewski \|first=Andrew \|date=1997 \|title=Noncommutative Geometry \|url=https://www.ams.org/notices/199707/lesniewski.pdf \|journal=[[Notices of the American Mathematical Society]] \|volume=44 \|issue=7 \|pages=800–805}}</ref><ref>{{Cite journal \|last1=Cornelissen \|first1=Gunther \|last2=Landsman \|first2=Klaas \|last3=van Suijlekom \|first3=Walter \|date=2010 \|title=The flashes of insight never came for free \|url=https://www.nieuwarchief.nl/serie5/pdf/naw5-2010-11-4-250.pdf \|journal=[[Nieuw Archief voor Wiskunde]] \|volume=11 \|issue=5 \|pages=250–256}}</ref>

	He was a member of [[Nicolas Bourbaki]].<ref>{{cite book \|title=Bourbaki: a secret society of mathematicians\|first=Maurice\|last=Mashaal\|publisher=[[American Mathematical Society]]\|year=2006\|page=18\|isbn=978-0-8218-3967-6\|url=https://books.google.com/books?id=-CXn6y_1nJ8C&pg=PA18}}</ref>		He was a member of [[Nicolas Bourbaki]].<ref>{{cite book \|title=Bourbaki: a secret society of mathematicians\|first=Maurice\|last=Mashaal\|publisher=[[American Mathematical Society]]\|year=2006\|page=18\|isbn=978-0-8218-3967-6\|url=https://books.google.com/books?id=-CXn6y_1nJ8C&pg=PA18}}</ref> Over many years, he collaborated extensively with [[Henri Moscovici]].<ref name=":0"/>

	==Awards and honours==		==Awards and honours==
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	In 2001 he received (together with his co-authors [[André Lichnerowicz]] and [[Marco Schutzenberger]]) the Peano Prize for his work ''Triangle of Thoughts.''<ref>{{Cite web \|date=2015-11-03 \|title=Premio Peano {{!}} Associazione Subalpina Mathesis \|url=https://www.associazionesubalpinamathesis.it/premio-peano/ \|access-date=2023-05-26 \|language=it-IT}}</ref>		In 2001 he received (together with his co-authors [[André Lichnerowicz]] and [[Marco Schutzenberger]]) the Peano Prize for his work ''Triangle of Thoughts.''<ref>{{Cite web \|date=2015-11-03 \|title=Premio Peano {{!}} Associazione Subalpina Mathesis \|url=https://www.associazionesubalpinamathesis.it/premio-peano/ \|access-date=2023-05-26 \|language=it-IT}}</ref>

			==Family==
			Alain Connes is the middle-born of three sons — born to parents both of whom lived to be 101 years old. He married in 1971.<ref name=":0"/>

	==Books==		==Books==

Citation bot: Add: doi, publisher. | Use this bot. Report bugs. | Suggested by BorgQueen | Category:École Normale Supérieure alumni | #UCB_Category 586/885

2024-09-27T06:16:09Z

Add: doi, publisher. | Use this bot. Report bugs. | Suggested by BorgQueen | Category:École Normale Supérieure alumni | #UCB_Category 586/885

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	== Research ==		== Research ==
	Connes' main research interests revolved around [[operator algebra]]s. Besides [[noncommutative geometry]], he has applied his works in various areas of mathematics and [[theoretical physics]], including [[number theory]], [[differential geometry]] and [[particle physics]].<ref name=":0" /><ref>Alexander Hellemans, [http://www.scientificamerican.com/article.cfm?id=the-geometer-of-particle "The Geometer of Particle Physics"] '' Scientific American'', 24 July 2006</ref><ref name=":1" /><ref name=":2" /> Since the 1990s, he has been a proponent of [[Noncommutative standard model\|the spectral Standard Model]], which gives quantum behaviour to positions in spacetime, sidestepping some of the problems with [[quantum gravity]].<ref>{{cite book \| author = [[Sabine Hossenfelder]] \| title = Lost in Math: How Beauty Leads Physics Astray \| isbn=978-0465094257 \| year = 2018}}</ref>		Connes' main research interests revolved around [[operator algebra]]s. Besides [[noncommutative geometry]], he has applied his works in various areas of mathematics and [[theoretical physics]], including [[number theory]], [[differential geometry]] and [[particle physics]].<ref name=":0" /><ref>Alexander Hellemans, [http://www.scientificamerican.com/article.cfm?id=the-geometer-of-particle "The Geometer of Particle Physics"] '' Scientific American'', 24 July 2006</ref><ref name=":1" /><ref name=":2" /> Since the 1990s, he has been a proponent of [[Noncommutative standard model\|the spectral Standard Model]], which gives quantum behaviour to positions in spacetime, sidestepping some of the problems with [[quantum gravity]].<ref>{{cite book \| author = [[Sabine Hossenfelder]] \| title = Lost in Math: How Beauty Leads Physics Astray \| isbn=978-0465094257 \| year = 2018\| publisher = Basic Books }}</ref>

	In his early work on [[von Neumann algebra]]s in the 1970s, he succeeded in obtaining the almost complete classification of injective [[Von Neumann algebra#Factors\|factor]]s. He also formulated the [[Connes embedding problem]].		In his early work on [[von Neumann algebra]]s in the 1970s, he succeeded in obtaining the almost complete classification of injective [[Von Neumann algebra#Factors\|factor]]s. He also formulated the [[Connes embedding problem]].

	Following this, he made contributions in [[K-theory\|operator K-theory]] and [[index theory]], which culminated in the [[Baum–Connes conjecture]]. He also introduced [[cyclic homology\|cyclic cohomology]] in the early 1980s as a first step in the study of [[noncommutative geometry\|noncommutative differential geometry]].<ref>{{Cite journal \|last=Moore \|first=Calvin \|author-link=Calvin C. Moore \|date=1982 \|title=The work of Alain Connes \|url=https://www.ams.org/journals/notices/198210/198210FullIssue.pdf?cat=fullissue&trk=fullissue198210 \|journal=[[Notices of the American Mathematical Society]] \|volume=29 \|issue=6 \|pages=499–501}}</ref><ref>{{Cite journal \|last=Seda \|first=Anthony Karel \|date=1984 \|title=One aspect of the work of Alain Connes \|url=https://www.irishmathsoc.org/nl11/nl11_38-48.pdf \|journal=[[Irish Mathematical Society#Bulletin of the Irish Mathematical Society\|Irish Mathematical Society Newsletter]] \|volume=11 \|pages=38–48}}</ref><ref>{{Cite journal \|last=Lesniewski \|first=Andrew \|date=1997 \|title=Noncommutative Geometry \|url=https://www.ams.org/notices/199707/lesniewski.pdf \|journal=[[Notices of the American Mathematical Society]] \|volume=44 \|issue=7 \|pages=800–805}}</ref><ref>{{Cite journal \|last1=Cornelissen \|first1=Gunther \|last2=Landsman \|first2=Klaas \|last3=van Suijlekom \|first3=Walter \|date=2010 \|title=The flashes of insight never came for free \|url=https://www.nieuwarchief.nl/serie5/pdf/naw5-2010-11-4-250.pdf \|journal=[[Nieuw Archief voor Wiskunde]] \|volume=11 \|issue=5 \|pages=250–256}}</ref>		Following this, he made contributions in [[K-theory\|operator K-theory]] and [[index theory]], which culminated in the [[Baum–Connes conjecture]]. He also introduced [[cyclic homology\|cyclic cohomology]] in the early 1980s as a first step in the study of [[noncommutative geometry\|noncommutative differential geometry]].<ref>{{Cite journal \|last=Moore \|first=Calvin \|author-link=Calvin C. Moore \|date=1982 \|title=The work of Alain Connes \|url=https://www.ams.org/journals/notices/198210/198210FullIssue.pdf?cat=fullissue&trk=fullissue198210 \|journal=[[Notices of the American Mathematical Society]] \|volume=29 \|issue=6 \|pages=499–501}}</ref><ref>{{Cite journal \|last=Seda \|first=Anthony Karel \|date=1984 \|title=One aspect of the work of Alain Connes \|url=https://www.irishmathsoc.org/nl11/nl11_38-48.pdf \|journal=[[Irish Mathematical Society#Bulletin of the Irish Mathematical Society\|Irish Mathematical Society Newsletter]] \|volume=11 \|pages=38–48\|doi=10.33232/BIMS.0011.38.48 }}</ref><ref>{{Cite journal \|last=Lesniewski \|first=Andrew \|date=1997 \|title=Noncommutative Geometry \|url=https://www.ams.org/notices/199707/lesniewski.pdf \|journal=[[Notices of the American Mathematical Society]] \|volume=44 \|issue=7 \|pages=800–805}}</ref><ref>{{Cite journal \|last1=Cornelissen \|first1=Gunther \|last2=Landsman \|first2=Klaas \|last3=van Suijlekom \|first3=Walter \|date=2010 \|title=The flashes of insight never came for free \|url=https://www.nieuwarchief.nl/serie5/pdf/naw5-2010-11-4-250.pdf \|journal=[[Nieuw Archief voor Wiskunde]] \|volume=11 \|issue=5 \|pages=250–256}}</ref>

	He was a member of [[Nicolas Bourbaki]].<ref>{{cite book \|title=Bourbaki: a secret society of mathematicians\|first=Maurice\|last=Mashaal\|publisher=[[American Mathematical Society]]\|year=2006\|page=18\|isbn=978-0-8218-3967-6\|url=https://books.google.com/books?id=-CXn6y_1nJ8C&pg=PA18}}</ref>		He was a member of [[Nicolas Bourbaki]].<ref>{{cite book \|title=Bourbaki: a secret society of mathematicians\|first=Maurice\|last=Mashaal\|publisher=[[American Mathematical Society]]\|year=2006\|page=18\|isbn=978-0-8218-3967-6\|url=https://books.google.com/books?id=-CXn6y_1nJ8C&pg=PA18}}</ref>
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	==Awards and honours==		==Awards and honours==

	Connes was awarded the [[Peccot Lectures\|Peccot-Vimont Prize]] in 1976,<ref>{{Cite web \|date=2022-05-11 \|title=Cours et Prix Claude-Antoine Peccot \|trans-title=Claude-Antoine Peccot Lectures and Prizes \|url=https://www.college-de-france.fr/fr/prix/cours-et-prix-claude-antoine-peccot \|access-date=2023-05-26 \|website=[[College de France]] \|language=fr}}</ref> the [[Ampère Prize]] in 1980, the [[Fields Medal]] in 1982,<ref name="FieldsMedal00">{{cite web \|author1=Albers, Donald J. \|author2=Alexanderson, G. L. \|author3=Reid, Constance \|date=1986 \|title=International mathematical congresses. An illustrated history 1893 – 1986 \|url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1982/index.html#0x82496a1f_0x0005ea30 \|access-date=2018-12-02 \|publisher=Springer-Verlag}}</ref><ref name="FieldsMedal01">{{cite web \|author=IMU Secretariat \|title=Fields Medal – International Mathematical Union (IMU) \|url=https://www.mathunion.org/imu-awards/fields-medal \|access-date=2018-12-02 \|publisher=International Mathematical Union}}</ref> the [[Clay Research Award]] in 2000<ref>{{Cite web \|title=Research Awards \|url=https://www.claymath.org/research \|access-date=2023-05-26 \|website=[[Clay Mathematics Institute]]}}</ref> and the [[Crafoord Prize]] in 2001.<ref>{{Cite web \|date=2001-01-24 \|title=Crafoord Prize to one of the world's foremost mathematicians \|url=https://www.crafoordprize.se/news/crafoord-prize-to-one-of-the-worlds-foremost-mathematicians/ \|access-date=2023-05-26 \|website=[[Royal Swedish Academy of Sciences]] \|language=en-GB}}</ref><ref name="CrafoordPrize00">{{cite web \|date=2000 \|title=Crafoord Prize Laureates \|url=https://www.crafoordprize.se/prize-laureate/alain-connes/ \|access-date=2018-12-02 \|website=[[Royal Swedish Academy of Sciences]] \|publisher=}}</ref><ref>{{Cite journal \|last=Holden \|first=Constance \|date=2001 \|title=French Mathematician Wins Crafoord Prize \|url=https://www.science.org/content/article/french-mathematician-wins-crafoord-prize \|journal=[[Science (journal)\|Science]]}}</ref> The [[CNRS\|French National Centre for Scientific Research]] granted him the [[CNRS Silver Medal\|silver medal]] in 1977<ref>{{Cite web \|last=Burgos \|first=Valérie \|date=2023-01-31 \|title=Médailles d'argent du CNRS 1960-2010 \|trans-title=Silver medals of the CNRS 1960-2010 \|url=https://comihistocnrs.hypotheses.org/2706 \|access-date=2023-05-26 \|website=Comité pour l'histoire du CNRS \|language=fr-FR}}</ref> and the [[CNRS Gold Medal\|gold medal]] in 2004.<ref>{{Cite web \|date=2004 \|title=Alain Connes, mathématicien, Médaille d'or du CNRS 2004 \|trans-title=Alain Connes, mathematician, Gold Medal of CNRS 2004 \|url=https://archives.cnrs.fr/presse/article/582 \|access-date=2023-05-26 \|website=[[CNRS]] \|language=fr-FR}}</ref><ref>{{Cite web \|date=2004 \|title=Alain Connes, Médaille d'or 2004 du CNRS \|trans-title=Alain Connes, 2004 Gold Medal of CNRS \|url=http://www2.cnrs.fr/sites/band/fichier/or.pdf \|website=[[CNRS]] \|language=fr}}</ref><ref>{{Cite journal \|date=2005 \|title=Alain Connes: indomitable explorer \|url=http://www2.cnrs.fr/sites/band/fichier/ra_2004_gb.pdf \|journal=A Year at CNRS 2004 \|pages=10–11}}</ref><ref>{{Cite web \|last=Dumas \|first=Cécile \|date=2004-11-09 \|title=Alain Connes, médaillé d'or du CNRS \|trans-title=Alain Connes, gold medal of the CNRS \|url=https://www.sciencesetavenir.fr/fondamental/alain-connes-medaille-d-or-du-cnrs_22257 \|access-date=2023-05-26 \|website=[[Sciences et Avenir]] \|language=fr}}</ref><ref>{{Cite web \|last= \|date=2005 \|title=Vanderbilt math professor Alain Connes receives prestigious French science award \|url=https://news.vanderbilt.edu/2005/02/16/vanderbilt-math-professor-alain-connes-receives-prestigious-french-science-award-59421/ \|access-date=2023-05-26 \|website=[[Vanderbilt University]] \|language=en-US}}</ref>		Connes was awarded the [[Peccot Lectures\|Peccot-Vimont Prize]] in 1976,<ref>{{Cite web \|date=2022-05-11 \|title=Cours et Prix Claude-Antoine Peccot \|trans-title=Claude-Antoine Peccot Lectures and Prizes \|url=https://www.college-de-france.fr/fr/prix/cours-et-prix-claude-antoine-peccot \|access-date=2023-05-26 \|website=[[College de France]] \|language=fr}}</ref> the [[Ampère Prize]] in 1980, the [[Fields Medal]] in 1982,<ref name="FieldsMedal00">{{cite web \|author1=Albers, Donald J. \|author2=Alexanderson, G. L. \|author3=Reid, Constance \|date=1986 \|title=International mathematical congresses. An illustrated history 1893 – 1986 \|url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1982/index.html#0x82496a1f_0x0005ea30 \|access-date=2018-12-02 \|publisher=Springer-Verlag}}</ref><ref name="FieldsMedal01">{{cite web \|author=IMU Secretariat \|title=Fields Medal – International Mathematical Union (IMU) \|url=https://www.mathunion.org/imu-awards/fields-medal \|access-date=2018-12-02 \|publisher=International Mathematical Union}}</ref> the [[Clay Research Award]] in 2000<ref>{{Cite web \|title=Research Awards \|url=https://www.claymath.org/research \|access-date=2023-05-26 \|website=[[Clay Mathematics Institute]]}}</ref> and the [[Crafoord Prize]] in 2001.<ref>{{Cite web \|date=2001-01-24 \|title=Crafoord Prize to one of the world's foremost mathematicians \|url=https://www.crafoordprize.se/news/crafoord-prize-to-one-of-the-worlds-foremost-mathematicians/ \|access-date=2023-05-26 \|website=[[Royal Swedish Academy of Sciences]] \|language=en-GB}}</ref><ref name="CrafoordPrize00">{{cite web \|date=2000 \|title=Crafoord Prize Laureates \|url=https://www.crafoordprize.se/prize-laureate/alain-connes/ \|access-date=2018-12-02 \|website=[[Royal Swedish Academy of Sciences]] \|publisher=}}</ref><ref>{{Cite journal \|last=Holden \|first=Constance \|date=2001 \|title=French Mathematician Wins Crafoord Prize \|url=https://www.science.org/content/article/french-mathematician-wins-crafoord-prize \|journal=[[Science (journal)\|Science]]}}</ref> The [[CNRS\|French National Centre for Scientific Research]] granted him the [[CNRS Silver Medal\|silver medal]] in 1977<ref>{{Cite web \|last=Burgos \|first=Valérie \|date=2023-01-31 \|title=Médailles d'argent du CNRS 1960-2010 \|trans-title=Silver medals of the CNRS 1960-2010 \|url=https://comihistocnrs.hypotheses.org/2706 \|access-date=2023-05-26 \|website=Comité pour l'histoire du CNRS \|doi=10.58079/n1ag \|language=fr-FR}}</ref> and the [[CNRS Gold Medal\|gold medal]] in 2004.<ref>{{Cite web \|date=2004 \|title=Alain Connes, mathématicien, Médaille d'or du CNRS 2004 \|trans-title=Alain Connes, mathematician, Gold Medal of CNRS 2004 \|url=https://archives.cnrs.fr/presse/article/582 \|access-date=2023-05-26 \|website=[[CNRS]] \|language=fr-FR}}</ref><ref>{{Cite web \|date=2004 \|title=Alain Connes, Médaille d'or 2004 du CNRS \|trans-title=Alain Connes, 2004 Gold Medal of CNRS \|url=http://www2.cnrs.fr/sites/band/fichier/or.pdf \|website=[[CNRS]] \|language=fr}}</ref><ref>{{Cite journal \|date=2005 \|title=Alain Connes: indomitable explorer \|url=http://www2.cnrs.fr/sites/band/fichier/ra_2004_gb.pdf \|journal=A Year at CNRS 2004 \|pages=10–11}}</ref><ref>{{Cite web \|last=Dumas \|first=Cécile \|date=2004-11-09 \|title=Alain Connes, médaillé d'or du CNRS \|trans-title=Alain Connes, gold medal of the CNRS \|url=https://www.sciencesetavenir.fr/fondamental/alain-connes-medaille-d-or-du-cnrs_22257 \|access-date=2023-05-26 \|website=[[Sciences et Avenir]] \|language=fr}}</ref><ref>{{Cite web \|last= \|date=2005 \|title=Vanderbilt math professor Alain Connes receives prestigious French science award \|url=https://news.vanderbilt.edu/2005/02/16/vanderbilt-math-professor-alain-connes-receives-prestigious-french-science-award-59421/ \|access-date=2023-05-26 \|website=[[Vanderbilt University]] \|language=en-US}}</ref>

	He was an [[invited speaker at the International Congress of Mathematicians\|invited speaker]] at the [[International Congress of Mathematicians]] in 1974 at Vancouver and in 1986 at Berkeley, and a plenary speaker at the ICM in 1978 at Helsinki.		He was an [[invited speaker at the International Congress of Mathematicians\|invited speaker]] at the [[International Congress of Mathematicians]] in 1974 at Vancouver and in 1986 at Berkeley, and a plenary speaker at the ICM in 1978 at Helsinki.

JJMC89 bot III: Moving :Category:Foreign Members of the Russian Academy of Sciences to :Category:Foreign members of the Russian Academy of Sciences per Wikipedia:Categories for discussion/Speedy

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Moving Category:Foreign Members of the Russian Academy of Sciences to Category:Foreign members of the Russian Academy of Sciences per Wikipedia:Categories for discussion/Speedy

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	[[Category:Members of the French Academy of Sciences]]		[[Category:Members of the French Academy of Sciences]]
	[[Category:Members of the Norwegian Academy of Science and Letters]]		[[Category:Members of the Norwegian Academy of Science and Letters]]

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only dates as per WP:LEAD

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	'''Alain Connes''' ({{IPA\|fr\|alɛ̃ kɔn\|lang}}; born 1 April 1947 ~~in [[Draguignan]]~~) is a French mathematician, known for his contributions to the study of [[operator algebra]]s and [[noncommutative geometry]]. He is a professor at the {{Lang\|fr\|[[Collège de France]]\|italic=no}}, {{Lang\|fr\|[[Institut des Hautes Études Scientifiques]]\|italic=no}}, [[Ohio State University]] and [[Vanderbilt University]]. He was awarded the [[Fields Medal]] in 1982.<ref>{{Cite web \|last1=O'Connor \|first1=John \|last2=Robertson \|first2=Edmund \|author-link2=Edmund F. Robertson \|title=Alain Connes \|url=https://mathshistory.st-andrews.ac.uk/Biographies/Connes/ \|access-date=2023-05-19 \|website=[[MacTutor History of Mathematics archive]] \|language=en}}</ref><ref name=":0">{{Cite web \|last=Jackson \|first=Allyn \|date=2021 \|title=Interview with Alain Connes \|url=https://celebratio.org/Connes_A/article/842/ \|access-date=2023-05-18 \|website=[[Celebratio Mathematica]] \|language=en}}</ref><ref name=":1">{{Cite journal \|last1=Skandalis \|first1=Georges \|author-link=Georges Skandalis \|last2=Goldstein \|first2=Catherine \|author-link2=Catherine Goldstein \|date=2007 \|title=An interview with Alain Connes, part I \|url=https://ems.press/content/serial-issue-files/13664 \|journal=EMS Newsletter \|publisher=[[European Mathematical Society]] \|volume=63 \|pages=25–30}}</ref><ref name=":2">{{Cite journal \|last1=Skandalis \|first1=Georges \|author-link=Georges Skandalis \|last2=Goldstein \|first2=Catherine \|author-link2=Catherine Goldstein \|date=2008 \|title=An interview with Alain Connes, part II \|url=https://ems.press/content/serial-issue-files/13672 \|journal=EMS Newsletter \|publisher=[[European Mathematical Society]] \|volume=67 \|pages=29–33}}</ref>		'''Alain Connes''' ({{IPA\|fr\|alɛ̃ kɔn\|lang}}; born 1 April 1947) is a French mathematician, known for his contributions to the study of [[operator algebra]]s and [[noncommutative geometry]]. He is a professor at the {{Lang\|fr\|[[Collège de France]]\|italic=no}}, {{Lang\|fr\|[[Institut des Hautes Études Scientifiques]]\|italic=no}}, [[Ohio State University]] and [[Vanderbilt University]]. He was awarded the [[Fields Medal]] in 1982.<ref>{{Cite web \|last1=O'Connor \|first1=John \|last2=Robertson \|first2=Edmund \|author-link2=Edmund F. Robertson \|title=Alain Connes \|url=https://mathshistory.st-andrews.ac.uk/Biographies/Connes/ \|access-date=2023-05-19 \|website=[[MacTutor History of Mathematics archive]] \|language=en}}</ref><ref name=":0">{{Cite web \|last=Jackson \|first=Allyn \|date=2021 \|title=Interview with Alain Connes \|url=https://celebratio.org/Connes_A/article/842/ \|access-date=2023-05-18 \|website=[[Celebratio Mathematica]] \|language=en}}</ref><ref name=":1">{{Cite journal \|last1=Skandalis \|first1=Georges \|author-link=Georges Skandalis \|last2=Goldstein \|first2=Catherine \|author-link2=Catherine Goldstein \|date=2007 \|title=An interview with Alain Connes, part I \|url=https://ems.press/content/serial-issue-files/13664 \|journal=EMS Newsletter \|publisher=[[European Mathematical Society]] \|volume=63 \|pages=25–30}}</ref><ref name=":2">{{Cite journal \|last1=Skandalis \|first1=Georges \|author-link=Georges Skandalis \|last2=Goldstein \|first2=Catherine \|author-link2=Catherine Goldstein \|date=2008 \|title=An interview with Alain Connes, part II \|url=https://ems.press/content/serial-issue-files/13672 \|journal=EMS Newsletter \|publisher=[[European Mathematical Society]] \|volume=67 \|pages=29–33}}</ref>

	==Career==		==Career==

TAnthony: Update deprecated IPA template, and genfixes

2024-08-16T15:02:14Z

Update deprecated IPA template, and genfixes

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	'''Alain Connes''' ({{IPA-fr\|alɛ̃ kɔn\|lang}}; born 1 April 1947 in [[Draguignan]]) is a French mathematician, known for his contributions to the study of [[operator algebra]]s and [[noncommutative geometry]]. He is a professor at the {{Lang\|fr\|[[Collège de France]]\|italic=no}}, {{Lang\|fr\|[[Institut des Hautes Études Scientifiques]]\|italic=no}}, [[Ohio State University]] and [[Vanderbilt University]]. He was awarded the [[Fields Medal]] in 1982.<ref>{{Cite web \|last1=O'Connor \|first1=John \|last2=Robertson \|first2=Edmund \|author-link2=Edmund F. Robertson \|title=Alain Connes \|url=https://mathshistory.st-andrews.ac.uk/Biographies/Connes/ \|access-date=2023-05-19 \|website=[[MacTutor History of Mathematics archive]] \|language=en}}</ref><ref name=":0">{{Cite web \|last=Jackson \|first=Allyn \|date=2021 \|title=Interview with Alain Connes \|url=https://celebratio.org/Connes_A/article/842/ \|access-date=2023-05-18 \|website=[[Celebratio Mathematica]] \|language=en}}</ref><ref name=":1">{{Cite journal \|last1=Skandalis \|first1=Georges \|author-link=Georges Skandalis \|last2=Goldstein \|first2=Catherine \|author-link2=Catherine Goldstein \|date=2007 \|title=An interview with Alain Connes, part I \|url=https://ems.press/content/serial-issue-files/13664 \|journal=EMS Newsletter \|publisher=[[European Mathematical Society]] \|volume=63 \|pages=25–30}}</ref><ref name=":2">{{Cite journal \|last1=Skandalis \|first1=Georges \|author-link=Georges Skandalis \|last2=Goldstein \|first2=Catherine \|author-link2=Catherine Goldstein \|date=2008 \|title=An interview with Alain Connes, part II \|url=https://ems.press/content/serial-issue-files/13672 \|journal=EMS Newsletter \|publisher=[[European Mathematical Society]] \|volume=67 \|pages=29–33}}</ref>		'''Alain Connes''' ({{IPA\|fr\|alɛ̃ kɔn\|lang}}; born 1 April 1947 in [[Draguignan]]) is a French mathematician, known for his contributions to the study of [[operator algebra]]s and [[noncommutative geometry]]. He is a professor at the {{Lang\|fr\|[[Collège de France]]\|italic=no}}, {{Lang\|fr\|[[Institut des Hautes Études Scientifiques]]\|italic=no}}, [[Ohio State University]] and [[Vanderbilt University]]. He was awarded the [[Fields Medal]] in 1982.<ref>{{Cite web \|last1=O'Connor \|first1=John \|last2=Robertson \|first2=Edmund \|author-link2=Edmund F. Robertson \|title=Alain Connes \|url=https://mathshistory.st-andrews.ac.uk/Biographies/Connes/ \|access-date=2023-05-19 \|website=[[MacTutor History of Mathematics archive]] \|language=en}}</ref><ref name=":0">{{Cite web \|last=Jackson \|first=Allyn \|date=2021 \|title=Interview with Alain Connes \|url=https://celebratio.org/Connes_A/article/842/ \|access-date=2023-05-18 \|website=[[Celebratio Mathematica]] \|language=en}}</ref><ref name=":1">{{Cite journal \|last1=Skandalis \|first1=Georges \|author-link=Georges Skandalis \|last2=Goldstein \|first2=Catherine \|author-link2=Catherine Goldstein \|date=2007 \|title=An interview with Alain Connes, part I \|url=https://ems.press/content/serial-issue-files/13664 \|journal=EMS Newsletter \|publisher=[[European Mathematical Society]] \|volume=63 \|pages=25–30}}</ref><ref name=":2">{{Cite journal \|last1=Skandalis \|first1=Georges \|author-link=Georges Skandalis \|last2=Goldstein \|first2=Catherine \|author-link2=Catherine Goldstein \|date=2008 \|title=An interview with Alain Connes, part II \|url=https://ems.press/content/serial-issue-files/13672 \|journal=EMS Newsletter \|publisher=[[European Mathematical Society]] \|volume=67 \|pages=29–33}}</ref>

	==Career==		==Career==
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	== Research ==		== Research ==
	Connes' main research interests revolved around [[operator algebra]]s. Besides [[noncommutative geometry]], he has applied his works in various areas of mathematics and [[theoretical physics]], including [[number theory]], [[differential geometry]] and [[particle physics]].<ref name=":0" /><ref>Alexander Hellemans, [http://www.scientificamerican.com/article.cfm?id=the-geometer-of-particle "The Geometer of Particle Physics"] '' Scientific American'', 24 July 2006</ref><ref name=":1" /><ref name=":2" /> Since the 1990s, he has been a proponent of [[Noncommutative standard model\|the spectral Standard Model]], which gives quantum behaviour to positions in spacetime, sidestepping some of the problems with [[quantum gravity]].<ref>{{cite book \| author = [[Sabine Hossenfelder]] \| title = Lost in Math: How Beauty Leads Physics Astray \| isbn=978-0465094257 \| year = 2018}}</ref>		Connes' main research interests revolved around [[operator algebra]]s. Besides [[noncommutative geometry]], he has applied his works in various areas of mathematics and [[theoretical physics]], including [[number theory]], [[differential geometry]] and [[particle physics]].<ref name=":0" /><ref>Alexander Hellemans, [http://www.scientificamerican.com/article.cfm?id=the-geometer-of-particle "The Geometer of Particle Physics"] '' Scientific American'', 24 July 2006</ref><ref name=":1" /><ref name=":2" /> Since the 1990s, he has been a proponent of [[Noncommutative standard model\|the spectral Standard Model]], which gives quantum behaviour to positions in spacetime, sidestepping some of the problems with [[quantum gravity]].<ref>{{cite book \| author = [[Sabine Hossenfelder]] \| title = Lost in Math: How Beauty Leads Physics Astray \| isbn=978-0465094257 \| year = 2018}}</ref>

	In his early work on [[von Neumann algebra]]s in the 1970s, he succeeded in obtaining the almost complete classification of injective [[Von Neumann algebra#Factors\|factor]]s. He also formulated the [[Connes embedding problem]].		In his early work on [[von Neumann algebra]]s in the 1970s, he succeeded in obtaining the almost complete classification of injective [[Von Neumann algebra#Factors\|factor]]s. He also formulated the [[Connes embedding problem]].

Barçaforlife: fixed typo

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fixed typo

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	\| doctoral_students = [[Jean-Benoît Bost]]<br>[[Georges Skandalis]]		\| doctoral_students = [[Jean-Benoît Bost]]<br>[[Georges Skandalis]]
	\| known_for = [[Baum–Connes conjecture]]<br>[[Noncommutative geometry]]<br>[[Noncommutative standard model]]<br>[[Operator algebra]]s<br>[[Thermal time hypothesis]]		\| known_for = [[Baum–Connes conjecture]]<br>[[Noncommutative geometry]]<br>[[Noncommutative standard model]]<br>[[Operator algebra]]s<br>[[Thermal time hypothesis]]
	\| awards = [[Peccot Lectures\|Peccot-Vimont Prize]] (1976)<br/>[[CNRS Silver Medal]] (1977)<br/> [[~~Prize~~ Ampère]] (1980)<br/> [[Fields Medal]] (1982)<br/> [[Clay Research Award]] (2000)<br/> [[Crafoord Prize]] (2001)<br/> [[CNRS Gold medal]] (2004)		\| awards = [[Peccot Lectures\|Peccot-Vimont Prize]] (1976)<br/>[[CNRS Silver Medal]] (1977)<br/> [[Ampère Prize]] (1980)<br/> [[Fields Medal]] (1982)<br/> [[Clay Research Award]] (2000)<br/> [[Crafoord Prize]] (2001)<br/> [[CNRS Gold medal]] (2004)
	\| website = {{URL\|https://alainconnes.org/}}		\| website = {{URL\|https://alainconnes.org/}}
	\| footnotes =		\| footnotes =

Erkcan: /* Research */ mention work on spectral SM

2024-05-13T13:24:49Z

Research: mention work on spectral SM

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	== Research ==		== Research ==
	Connes' main research interests revolved around [[operator algebra]]s. Besides [[noncommutative geometry]], he has applied his works in various areas of mathematics and [[theoretical physics]], including [[number theory]], [[differential geometry]] and [[particle physics]].<ref name=":0" /><ref>Alexander Hellemans, [http://www.scientificamerican.com/article.cfm?id=the-geometer-of-particle "The Geometer of Particle Physics"] '' Scientific American'', 24 July 2006</ref><ref name=":1" /><ref name=":2" />		Connes' main research interests revolved around [[operator algebra]]s. Besides [[noncommutative geometry]], he has applied his works in various areas of mathematics and [[theoretical physics]], including [[number theory]], [[differential geometry]] and [[particle physics]].<ref name=":0" /><ref>Alexander Hellemans, [http://www.scientificamerican.com/article.cfm?id=the-geometer-of-particle "The Geometer of Particle Physics"] '' Scientific American'', 24 July 2006</ref><ref name=":1" /><ref name=":2" /> Since the 1990s, he has been a proponent of [[Noncommutative standard model\|the spectral Standard Model]], which gives quantum behaviour to positions in spacetime, sidestepping some of the problems with [[quantum gravity]].<ref>{{cite book \| author = [[Sabine Hossenfelder]] \| title = Lost in Math: How Beauty Leads Physics Astray \| isbn=978-0465094257 \| year = 2018}}</ref>

	In his early work on [[von Neumann algebra]]s in the 1970s, he succeeded in obtaining the almost complete classification of injective [[Von Neumann algebra#Factors\|factor]]s. He also formulated the [[Connes embedding problem]].		In his early work on [[von Neumann algebra]]s in the 1970s, he succeeded in obtaining the almost complete classification of injective [[Von Neumann algebra#Factors\|factor]]s. He also formulated the [[Connes embedding problem]].

Jevansen: Moving from Category:Mathematical analysts to Category:French mathematical analysts using Cat-a-lot

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Moving from Category:Mathematical analysts to Category:French mathematical analysts using Cat-a-lot

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	[[Category:20th-century French mathematicians]]		[[Category:20th-century French mathematicians]]
	[[Category:21st-century French mathematicians]]		[[Category:21st-century French mathematicians]]
	[[Category:~~Mathematical~~ analysts]]		[[Category:French mathematical analysts]]
	[[Category:Differential geometers]]		[[Category:Differential geometers]]
	[[Category:Fields Medalists]]		[[Category:Fields Medalists]]

WereSpielChequers: typo

2024-04-03T19:00:36Z

typo

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	==Career==		==Career==
	Alain Connes attended high school at {{Interlanguage link\|Lycée Saint-Charles (Marseille)\|lt=Lycée Saint-Charles\|fr\|Lycée Saint-Charles (Marseille)}} in [[Marseille]], and was then a student of the [[Classe préparatoire aux grandes écoles\|classes préparatoires]] in {{Interlanguage link\|Lycée Thiers\|lt=Lycée Thiers\|fr}}. Between 1966 and 1970 he ~~studed~~ at [[École normale supérieure (Paris)\|École normale supérieure]] in [[Paris]], and in 1973 he obtained a PhD from [[Pierre and Marie Curie University]], under the supervision of [[Jacques Dixmier]].<ref name=":0" />		Alain Connes attended high school at {{Interlanguage link\|Lycée Saint-Charles (Marseille)\|lt=Lycée Saint-Charles\|fr\|Lycée Saint-Charles (Marseille)}} in [[Marseille]], and was then a student of the [[Classe préparatoire aux grandes écoles\|classes préparatoires]] in {{Interlanguage link\|Lycée Thiers\|lt=Lycée Thiers\|fr}}. Between 1966 and 1970 he studied at [[École normale supérieure (Paris)\|École normale supérieure]] in [[Paris]], and in 1973 he obtained a PhD from [[Pierre and Marie Curie University]], under the supervision of [[Jacques Dixmier]].<ref name=":0" />

	From 1970 to 1974 he was research fellow at the [[French National Centre for Scientific Research]] and during 1975 he held a visiting position at [[Queen's University at Kingston]] in Canada.<ref name="Alain Connes 2021">{{cite web \|date=2021-04-22 \|title=Curriculum Vitae \|url=https://alainconnes.org/cv/ \|access-date=2022-09-08 \|website=Alain Connes}}</ref>		From 1970 to 1974 he was research fellow at the [[French National Centre for Scientific Research]] and during 1975 he held a visiting position at [[Queen's University at Kingston]] in Canada.<ref name="Alain Connes 2021">{{cite web \|date=2021-04-22 \|title=Curriculum Vitae \|url=https://alainconnes.org/cv/ \|access-date=2022-09-08 \|website=Alain Connes}}</ref>

← Previous revision		Revision as of 06:16, 27 September 2024
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	== Research ==		== Research ==
	Connes' main research interests revolved around [[operator algebra]]s. Besides [[noncommutative geometry]], he has applied his works in various areas of mathematics and [[theoretical physics]], including [[number theory]], [[differential geometry]] and [[particle physics]].<ref name=":0" /><ref>Alexander Hellemans, [http://www.scientificamerican.com/article.cfm?id=the-geometer-of-particle "The Geometer of Particle Physics"] '' Scientific American'', 24 July 2006</ref><ref name=":1" /><ref name=":2" /> Since the 1990s, he has been a proponent of [[Noncommutative standard model\|the spectral Standard Model]], which gives quantum behaviour to positions in spacetime, sidestepping some of the problems with [[quantum gravity]].<ref>{{cite book \| author = [[Sabine Hossenfelder]] \| title = Lost in Math: How Beauty Leads Physics Astray \| isbn=978-0465094257 \| year = 2018}}</ref>		Connes' main research interests revolved around [[operator algebra]]s. Besides [[noncommutative geometry]], he has applied his works in various areas of mathematics and [[theoretical physics]], including [[number theory]], [[differential geometry]] and [[particle physics]].<ref name=":0" /><ref>Alexander Hellemans, [http://www.scientificamerican.com/article.cfm?id=the-geometer-of-particle "The Geometer of Particle Physics"] '' Scientific American'', 24 July 2006</ref><ref name=":1" /><ref name=":2" /> Since the 1990s, he has been a proponent of [[Noncommutative standard model\|the spectral Standard Model]], which gives quantum behaviour to positions in spacetime, sidestepping some of the problems with [[quantum gravity]].<ref>{{cite book \| author = [[Sabine Hossenfelder]] \| title = Lost in Math: How Beauty Leads Physics Astray \| isbn=978-0465094257 \| year = 2018\| publisher = Basic Books }}</ref>

	In his early work on [[von Neumann algebra]]s in the 1970s, he succeeded in obtaining the almost complete classification of injective [[Von Neumann algebra#Factors\|factor]]s. He also formulated the [[Connes embedding problem]].		In his early work on [[von Neumann algebra]]s in the 1970s, he succeeded in obtaining the almost complete classification of injective [[Von Neumann algebra#Factors\|factor]]s. He also formulated the [[Connes embedding problem]].

	Following this, he made contributions in [[K-theory\|operator K-theory]] and [[index theory]], which culminated in the [[Baum–Connes conjecture]]. He also introduced [[cyclic homology\|cyclic cohomology]] in the early 1980s as a first step in the study of [[noncommutative geometry\|noncommutative differential geometry]].<ref>{{Cite journal \|last=Moore \|first=Calvin \|author-link=Calvin C. Moore \|date=1982 \|title=The work of Alain Connes \|url=https://www.ams.org/journals/notices/198210/198210FullIssue.pdf?cat=fullissue&trk=fullissue198210 \|journal=[[Notices of the American Mathematical Society]] \|volume=29 \|issue=6 \|pages=499–501}}</ref><ref>{{Cite journal \|last=Seda \|first=Anthony Karel \|date=1984 \|title=One aspect of the work of Alain Connes \|url=https://www.irishmathsoc.org/nl11/nl11_38-48.pdf \|journal=[[Irish Mathematical Society#Bulletin of the Irish Mathematical Society\|Irish Mathematical Society Newsletter]] \|volume=11 \|pages=38–48}}</ref><ref>{{Cite journal \|last=Lesniewski \|first=Andrew \|date=1997 \|title=Noncommutative Geometry \|url=https://www.ams.org/notices/199707/lesniewski.pdf \|journal=[[Notices of the American Mathematical Society]] \|volume=44 \|issue=7 \|pages=800–805}}</ref><ref>{{Cite journal \|last1=Cornelissen \|first1=Gunther \|last2=Landsman \|first2=Klaas \|last3=van Suijlekom \|first3=Walter \|date=2010 \|title=The flashes of insight never came for free \|url=https://www.nieuwarchief.nl/serie5/pdf/naw5-2010-11-4-250.pdf \|journal=[[Nieuw Archief voor Wiskunde]] \|volume=11 \|issue=5 \|pages=250–256}}</ref>		Following this, he made contributions in [[K-theory\|operator K-theory]] and [[index theory]], which culminated in the [[Baum–Connes conjecture]]. He also introduced [[cyclic homology\|cyclic cohomology]] in the early 1980s as a first step in the study of [[noncommutative geometry\|noncommutative differential geometry]].<ref>{{Cite journal \|last=Moore \|first=Calvin \|author-link=Calvin C. Moore \|date=1982 \|title=The work of Alain Connes \|url=https://www.ams.org/journals/notices/198210/198210FullIssue.pdf?cat=fullissue&trk=fullissue198210 \|journal=[[Notices of the American Mathematical Society]] \|volume=29 \|issue=6 \|pages=499–501}}</ref><ref>{{Cite journal \|last=Seda \|first=Anthony Karel \|date=1984 \|title=One aspect of the work of Alain Connes \|url=https://www.irishmathsoc.org/nl11/nl11_38-48.pdf \|journal=[[Irish Mathematical Society#Bulletin of the Irish Mathematical Society\|Irish Mathematical Society Newsletter]] \|volume=11 \|pages=38–48\|doi=10.33232/BIMS.0011.38.48 }}</ref><ref>{{Cite journal \|last=Lesniewski \|first=Andrew \|date=1997 \|title=Noncommutative Geometry \|url=https://www.ams.org/notices/199707/lesniewski.pdf \|journal=[[Notices of the American Mathematical Society]] \|volume=44 \|issue=7 \|pages=800–805}}</ref><ref>{{Cite journal \|last1=Cornelissen \|first1=Gunther \|last2=Landsman \|first2=Klaas \|last3=van Suijlekom \|first3=Walter \|date=2010 \|title=The flashes of insight never came for free \|url=https://www.nieuwarchief.nl/serie5/pdf/naw5-2010-11-4-250.pdf \|journal=[[Nieuw Archief voor Wiskunde]] \|volume=11 \|issue=5 \|pages=250–256}}</ref>

	He was a member of [[Nicolas Bourbaki]].<ref>{{cite book \|title=Bourbaki: a secret society of mathematicians\|first=Maurice\|last=Mashaal\|publisher=[[American Mathematical Society]]\|year=2006\|page=18\|isbn=978-0-8218-3967-6\|url=https://books.google.com/books?id=-CXn6y_1nJ8C&pg=PA18}}</ref>		He was a member of [[Nicolas Bourbaki]].<ref>{{cite book \|title=Bourbaki: a secret society of mathematicians\|first=Maurice\|last=Mashaal\|publisher=[[American Mathematical Society]]\|year=2006\|page=18\|isbn=978-0-8218-3967-6\|url=https://books.google.com/books?id=-CXn6y_1nJ8C&pg=PA18}}</ref>
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	==Awards and honours==		==Awards and honours==

	Connes was awarded the [[Peccot Lectures\|Peccot-Vimont Prize]] in 1976,<ref>{{Cite web \|date=2022-05-11 \|title=Cours et Prix Claude-Antoine Peccot \|trans-title=Claude-Antoine Peccot Lectures and Prizes \|url=https://www.college-de-france.fr/fr/prix/cours-et-prix-claude-antoine-peccot \|access-date=2023-05-26 \|website=[[College de France]] \|language=fr}}</ref> the [[Ampère Prize]] in 1980, the [[Fields Medal]] in 1982,<ref name="FieldsMedal00">{{cite web \|author1=Albers, Donald J. \|author2=Alexanderson, G. L. \|author3=Reid, Constance \|date=1986 \|title=International mathematical congresses. An illustrated history 1893 – 1986 \|url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1982/index.html#0x82496a1f_0x0005ea30 \|access-date=2018-12-02 \|publisher=Springer-Verlag}}</ref><ref name="FieldsMedal01">{{cite web \|author=IMU Secretariat \|title=Fields Medal – International Mathematical Union (IMU) \|url=https://www.mathunion.org/imu-awards/fields-medal \|access-date=2018-12-02 \|publisher=International Mathematical Union}}</ref> the [[Clay Research Award]] in 2000<ref>{{Cite web \|title=Research Awards \|url=https://www.claymath.org/research \|access-date=2023-05-26 \|website=[[Clay Mathematics Institute]]}}</ref> and the [[Crafoord Prize]] in 2001.<ref>{{Cite web \|date=2001-01-24 \|title=Crafoord Prize to one of the world's foremost mathematicians \|url=https://www.crafoordprize.se/news/crafoord-prize-to-one-of-the-worlds-foremost-mathematicians/ \|access-date=2023-05-26 \|website=[[Royal Swedish Academy of Sciences]] \|language=en-GB}}</ref><ref name="CrafoordPrize00">{{cite web \|date=2000 \|title=Crafoord Prize Laureates \|url=https://www.crafoordprize.se/prize-laureate/alain-connes/ \|access-date=2018-12-02 \|website=[[Royal Swedish Academy of Sciences]] \|publisher=}}</ref><ref>{{Cite journal \|last=Holden \|first=Constance \|date=2001 \|title=French Mathematician Wins Crafoord Prize \|url=https://www.science.org/content/article/french-mathematician-wins-crafoord-prize \|journal=[[Science (journal)\|Science]]}}</ref> The [[CNRS\|French National Centre for Scientific Research]] granted him the [[CNRS Silver Medal\|silver medal]] in 1977<ref>{{Cite web \|last=Burgos \|first=Valérie \|date=2023-01-31 \|title=Médailles d'argent du CNRS 1960-2010 \|trans-title=Silver medals of the CNRS 1960-2010 \|url=https://comihistocnrs.hypotheses.org/2706 \|access-date=2023-05-26 \|website=Comité pour l'histoire du CNRS \|language=fr-FR}}</ref> and the [[CNRS Gold Medal\|gold medal]] in 2004.<ref>{{Cite web \|date=2004 \|title=Alain Connes, mathématicien, Médaille d'or du CNRS 2004 \|trans-title=Alain Connes, mathematician, Gold Medal of CNRS 2004 \|url=https://archives.cnrs.fr/presse/article/582 \|access-date=2023-05-26 \|website=[[CNRS]] \|language=fr-FR}}</ref><ref>{{Cite web \|date=2004 \|title=Alain Connes, Médaille d'or 2004 du CNRS \|trans-title=Alain Connes, 2004 Gold Medal of CNRS \|url=http://www2.cnrs.fr/sites/band/fichier/or.pdf \|website=[[CNRS]] \|language=fr}}</ref><ref>{{Cite journal \|date=2005 \|title=Alain Connes: indomitable explorer \|url=http://www2.cnrs.fr/sites/band/fichier/ra_2004_gb.pdf \|journal=A Year at CNRS 2004 \|pages=10–11}}</ref><ref>{{Cite web \|last=Dumas \|first=Cécile \|date=2004-11-09 \|title=Alain Connes, médaillé d'or du CNRS \|trans-title=Alain Connes, gold medal of the CNRS \|url=https://www.sciencesetavenir.fr/fondamental/alain-connes-medaille-d-or-du-cnrs_22257 \|access-date=2023-05-26 \|website=[[Sciences et Avenir]] \|language=fr}}</ref><ref>{{Cite web \|last= \|date=2005 \|title=Vanderbilt math professor Alain Connes receives prestigious French science award \|url=https://news.vanderbilt.edu/2005/02/16/vanderbilt-math-professor-alain-connes-receives-prestigious-french-science-award-59421/ \|access-date=2023-05-26 \|website=[[Vanderbilt University]] \|language=en-US}}</ref>		Connes was awarded the [[Peccot Lectures\|Peccot-Vimont Prize]] in 1976,<ref>{{Cite web \|date=2022-05-11 \|title=Cours et Prix Claude-Antoine Peccot \|trans-title=Claude-Antoine Peccot Lectures and Prizes \|url=https://www.college-de-france.fr/fr/prix/cours-et-prix-claude-antoine-peccot \|access-date=2023-05-26 \|website=[[College de France]] \|language=fr}}</ref> the [[Ampère Prize]] in 1980, the [[Fields Medal]] in 1982,<ref name="FieldsMedal00">{{cite web \|author1=Albers, Donald J. \|author2=Alexanderson, G. L. \|author3=Reid, Constance \|date=1986 \|title=International mathematical congresses. An illustrated history 1893 – 1986 \|url=https://www.mathunion.org/fileadmin/IMU/Prizes/Fields/1982/index.html#0x82496a1f_0x0005ea30 \|access-date=2018-12-02 \|publisher=Springer-Verlag}}</ref><ref name="FieldsMedal01">{{cite web \|author=IMU Secretariat \|title=Fields Medal – International Mathematical Union (IMU) \|url=https://www.mathunion.org/imu-awards/fields-medal \|access-date=2018-12-02 \|publisher=International Mathematical Union}}</ref> the [[Clay Research Award]] in 2000<ref>{{Cite web \|title=Research Awards \|url=https://www.claymath.org/research \|access-date=2023-05-26 \|website=[[Clay Mathematics Institute]]}}</ref> and the [[Crafoord Prize]] in 2001.<ref>{{Cite web \|date=2001-01-24 \|title=Crafoord Prize to one of the world's foremost mathematicians \|url=https://www.crafoordprize.se/news/crafoord-prize-to-one-of-the-worlds-foremost-mathematicians/ \|access-date=2023-05-26 \|website=[[Royal Swedish Academy of Sciences]] \|language=en-GB}}</ref><ref name="CrafoordPrize00">{{cite web \|date=2000 \|title=Crafoord Prize Laureates \|url=https://www.crafoordprize.se/prize-laureate/alain-connes/ \|access-date=2018-12-02 \|website=[[Royal Swedish Academy of Sciences]] \|publisher=}}</ref><ref>{{Cite journal \|last=Holden \|first=Constance \|date=2001 \|title=French Mathematician Wins Crafoord Prize \|url=https://www.science.org/content/article/french-mathematician-wins-crafoord-prize \|journal=[[Science (journal)\|Science]]}}</ref> The [[CNRS\|French National Centre for Scientific Research]] granted him the [[CNRS Silver Medal\|silver medal]] in 1977<ref>{{Cite web \|last=Burgos \|first=Valérie \|date=2023-01-31 \|title=Médailles d'argent du CNRS 1960-2010 \|trans-title=Silver medals of the CNRS 1960-2010 \|url=https://comihistocnrs.hypotheses.org/2706 \|access-date=2023-05-26 \|website=Comité pour l'histoire du CNRS \|doi=10.58079/n1ag \|language=fr-FR}}</ref> and the [[CNRS Gold Medal\|gold medal]] in 2004.<ref>{{Cite web \|date=2004 \|title=Alain Connes, mathématicien, Médaille d'or du CNRS 2004 \|trans-title=Alain Connes, mathematician, Gold Medal of CNRS 2004 \|url=https://archives.cnrs.fr/presse/article/582 \|access-date=2023-05-26 \|website=[[CNRS]] \|language=fr-FR}}</ref><ref>{{Cite web \|date=2004 \|title=Alain Connes, Médaille d'or 2004 du CNRS \|trans-title=Alain Connes, 2004 Gold Medal of CNRS \|url=http://www2.cnrs.fr/sites/band/fichier/or.pdf \|website=[[CNRS]] \|language=fr}}</ref><ref>{{Cite journal \|date=2005 \|title=Alain Connes: indomitable explorer \|url=http://www2.cnrs.fr/sites/band/fichier/ra_2004_gb.pdf \|journal=A Year at CNRS 2004 \|pages=10–11}}</ref><ref>{{Cite web \|last=Dumas \|first=Cécile \|date=2004-11-09 \|title=Alain Connes, médaillé d'or du CNRS \|trans-title=Alain Connes, gold medal of the CNRS \|url=https://www.sciencesetavenir.fr/fondamental/alain-connes-medaille-d-or-du-cnrs_22257 \|access-date=2023-05-26 \|website=[[Sciences et Avenir]] \|language=fr}}</ref><ref>{{Cite web \|last= \|date=2005 \|title=Vanderbilt math professor Alain Connes receives prestigious French science award \|url=https://news.vanderbilt.edu/2005/02/16/vanderbilt-math-professor-alain-connes-receives-prestigious-french-science-award-59421/ \|access-date=2023-05-26 \|website=[[Vanderbilt University]] \|language=en-US}}</ref>

	He was an [[invited speaker at the International Congress of Mathematicians\|invited speaker]] at the [[International Congress of Mathematicians]] in 1974 at Vancouver and in 1986 at Berkeley, and a plenary speaker at the ICM in 1978 at Helsinki.		He was an [[invited speaker at the International Congress of Mathematicians\|invited speaker]] at the [[International Congress of Mathematicians]] in 1974 at Vancouver and in 1986 at Berkeley, and a plenary speaker at the ICM in 1978 at Helsinki.