537:
2596:
2606:
33:
2715:
1836:
308:
2710:
2690:
526:
2700:
1993:
1923:
612:
2685:
1570:
2680:
2705:
327:
1157:
1918:
368:
357:
2675:
394:
1735:
1185:
1129:
1000:
584:
2650:
2645:
1703:
323:
1121:
372:
282:
2104:
1762:
1028:
588:
530:
2670:
1364:
815:
2695:
1964:
1292:
2655:
1790:
1247:
718:
700:
679:
655:
592:
338:
1598:
313:
2720:
760:
1542:
1101:
780:
2031:
1656:
1606:
1397:
1369:
553:
361:
346:
75:
1421:
1813:
1681:
569:
2660:
2640:
2251:
2097:
1633:
1263:
565:
557:
2572:
2068:
1239:
930:
893:
647:
430:
367:
In 1976 he returned to France and worked as professor at Pierre and Marie Curie
University until 1980 and at
93:
71:
2049:
1073:
667:
1868:
745:
604:
1895:
1821:
1213:
608:
596:
2241:
1708:
1342:
692:
580:
464:
85:
2665:
2599:
2090:
533:
in 1974 at
Vancouver and in 1986 at Berkeley, and a plenary speaker at the ICM in 1978 at Helsinki.
449:
1863:
433:, which gives quantum behaviour to positions in spacetime, sidestepping some of the problems with
1841:
600:
536:
472:
445:
410:
268:
101:
89:
1205:
2635:
2393:
2224:
848:
730:
2486:
1938:
1575:
1233:
1033:
422:
387:
383:
292:
288:
183:
179:
1628:
1392:
810:
663:
619:
263:; born 1 April 1947) is a French mathematician, known for his contributions to the study of
2630:
1890:
1676:
684:
623:
541:
1005:
376:
274:
171:
8:
2073:
1089:
914:
877:
806:
503:
441:
414:
131:
1520:
444:
in the 1970s, he succeeded in obtaining the almost complete classification of injective
221:
2609:
2562:
2481:
2442:
2425:
2388:
1547:
785:
561:
375:. From 1984 until his retirement in 2017 he held the chair of Analysis and Geometry at
2059:
1730:
332:
2605:
2523:
2491:
2437:
2410:
2356:
2290:
2168:
2027:
1426:
1268:
1243:
1097:
918:
910:
881:
873:
714:
696:
675:
651:
515:
225:
116:
2496:
2197:
1315:
1177:
973:
2577:
2550:
2459:
2420:
2344:
2317:
2295:
2256:
2246:
2163:
2146:
2021:
1983:
1290:
1149:
658:
639:
573:
479:
426:
406:
264:
206:
161:
97:
1988:
1571:"Vanderbilt math professor Alain Connes receives prestigious French science award"
599:
in 1994, the
Canadian Academy of Sciences in 1995 (incorporated since 2002 in the
583:. He was elected member of several foreign academies and societies, including the
2540:
2513:
2469:
2454:
2334:
2268:
2055:
1661:
1117:
775:
740:
735:
549:
519:
491:
468:
434:
350:
259:
211:
141:
111:
1496:
495:
371:
between 1981 and 1984. Moreover, since 1979 he holds the Léon
Motchane Chair at
121:
2535:
2415:
2366:
2322:
2300:
2285:
2214:
2077:
843:
710:
507:
136:
2017:
1468:
2624:
2545:
2518:
2398:
2383:
2371:
2361:
2339:
2273:
2229:
2134:
2037:
1785:
418:
2064:
1442:
2151:
2129:
2113:
1960:
1293:"International mathematical congresses. An illustrated history 1893 – 1986"
499:
460:
296:
126:
2185:
2508:
2464:
2202:
750:
2219:
2180:
755:
59:
1204:
Cornelissen, Gunther; Landsman, Klaas; van
Suijlekom, Walter (2010).
319:
1337:
674:, translated by Jennifer Gage, American Mathematical Society, 2001,
2567:
2082:
770:
765:
456:
1471:[Alain Connes, mathematician, Gold Medal of CNRS 2004].
1291:
Albers, Donald J.; Alexanderson, G. L.; Reid, Constance (1986).
1203:
175:
1757:
413:, he has applied his works in various areas of mathematics and
190:
32:
2013:
1365:"Crafoord Prize to one of the world's foremost mathematicians"
947:
382:
In parallel, he was awarded a distinguished professorship at
342:
2716:
Members of the Royal Danish
Academy of Sciences and Letters
2041:
1505:
1473:
978:
511:
240:
1924:
Royal
Academy of Science, Letters and Fine Arts of Belgium
613:
Royal
Academy of Science, Letters and Fine Arts of Belgium
1469:"Alain Connes, mathématicien, Médaille d'or du CNRS 2004"
2711:
Members of the
Norwegian Academy of Science and Letters
1316:"Fields Medal – International Mathematical Union (IMU)"
1055:
Alain Connes, « Géométrie non-commutative »,
2691:
Foreign associates of the
National Academy of Sciences
1266:[Claude-Antoine Peccot Lectures and Prizes].
1029:"World-class mathematician joins Vanderbilt faculty"
1088:
942:
940:
644:
Noncommutative Geometry, Quantum Fields and Motives
471:in the early 1980s as a first step in the study of
2701:Foreign members of the Russian Academy of Sciences
909:
872:
618:In 2001 he received (together with his co-authors
804:
2622:
1939:"Premio Peano | Associazione Subalpina Mathesis"
1545:[Alain Connes, gold medal of the CNRS].
1499:[Alain Connes, 2004 Gold Medal of CNRS]
937:
405:Connes' main research interests revolved around
356:From 1970 to 1974 he was research fellow at the
1445:[Silver medals of the CNRS 1960-2010].
1385:
360:and during 1975 he held a visiting position at
2686:Institute for Advanced Study visiting scholars
1814:"London Mathematical Society Honorary Members"
689:Conversations on Mind, Matter, and Mathematics
512:French National Centre for Scientific Research
429:. Since the 1990s, he has been a proponent of
358:French National Centre for Scientific Research
2098:
1976:Bulletin of the American Mathematical Society
1959:
1659:[Honorary Doctorates UiO 2000-2008].
1307:
1284:
1094:Lost in Math: How Beauty Leads Physics Astray
974:"Alain Connes, emeritus professor since 2017"
1736:Royal Danish Academy of Sciences and Letters
1235:Bourbaki: a secret society of mathematicians
1206:"The flashes of insight never came for free"
1186:Notices of the American Mathematical Society
1130:Notices of the American Mathematical Society
585:Royal Danish Academy of Sciences and Letters
280:
272:
1313:
393:In 2000 he was an invited professor at the
2105:
2091:
1497:"Alain Connes, Médaille d'or 2004 du CNRS"
1422:"French Mathematician Wins Crafoord Prize"
1175:
395:Conservatoire national des arts et métiers
31:
2706:Members of the French Academy of Sciences
1987:
1893:[Conn A. - General information].
919:"An interview with Alain Connes, part II"
455:Following this, he made contributions in
1763:Norwegian Academy of Science and Letters
1150:"One aspect of the work of Alain Connes"
882:"An interview with Alain Connes, part I"
589:Norwegian Academy of Science and Letters
540:Alain Connes at a conference in 2012 in
535:
531:International Congress of Mathematicians
283:Institut des Hautes Études Scientifiques
196:A Classification of Factors of Type III
2681:Academic staff of the Collège de France
1231:
841:
816:MacTutor History of Mathematics archive
2623:
1599:"1858-2011 Honorary Degree Recipients"
1443:"Médailles d'argent du CNRS 1960-2010"
1440:
1419:
1063:, 175–190, Editions Odile Jacob, 2001.
337:. Between 1966 and 1970 he studied at
2086:
1791:American Academy of Arts and Sciences
1543:"Alain Connes, médaillé d'or du CNRS"
1540:
1264:"Cours et Prix Claude-Antoine Peccot"
1158:Irish Mathematical Society Newsletter
1116:
593:American Academy of Arts and Sciences
485:
345:, and in 1973 he obtained a PhD from
307:Alain Connes attended high school at
258:
2112:
1999:from the original on 9 October 2022.
1521:"Alain Connes: indomitable explorer"
1147:
905:
903:
868:
866:
837:
835:
833:
473:noncommutative differential geometry
1441:Burgos, Valérie (31 January 2023).
761:Noncommutative quantum field theory
13:
2651:21st-century French mathematicians
2646:20th-century French mathematicians
1318:. International Mathematical Union
1074:"The Geometer of Particle Physics"
781:Criticism of non-standard analysis
14:
2732:
2007:
1541:Dumas, Cécile (9 November 2004).
1398:Royal Swedish Academy of Sciences
1370:Royal Swedish Academy of Sciences
900:
863:
830:
691:, translated by M. B. DeBevoise,
579:Since 1982 he is a member of the
347:Pierre and Marie Curie University
76:Pierre and Marie Curie University
2604:
2595:
2594:
1657:"Æresdoktorer ved UiO 2000-2008"
322:, and was then a student of the
16:French mathematician (born 1947)
2676:École Normale Supérieure alumni
1953:
1931:
1911:
1883:
1856:
1829:
1806:
1778:
1750:
1723:
1696:
1669:
1649:
1621:
1591:
1563:
1534:
1513:
1489:
1461:
1434:
1413:
1357:
1330:
1256:
1225:
1197:
1169:
1141:
1110:
1082:
1066:
626:) the Peano Prize for his work
605:US National Academy of Sciences
2671:Clay Research Award recipients
2014:Alain Connes Official Web Site
1634:University of Rome Tor Vergata
1607:Queen's University at Kingston
1447:Comité pour l'histoire du CNRS
1057:Université de tous les savoirs
1049:
1021:
993:
966:
798:
566:University of Southern Denmark
558:University of Rome Tor Vergata
554:Queen's University at Kingston
386:between 2003 and 2012, and at
362:Queen's University at Kingston
1:
2696:Vanderbilt University faculty
2069:Mathematics Genealogy Project
1989:10.1090/s0273-0979-96-00687-8
1941:(in Italian). 3 November 2015
1891:"Конн А.. - Общая информация"
1682:Université libre de Bruxelles
1240:American Mathematical Society
931:European Mathematical Society
894:European Mathematical Society
844:"Interview with Alain Connes"
791:
648:American Mathematical Society
570:Université Libre de Bruxelles
94:Noncommutative standard model
2656:French mathematical analysts
2050:Alain Connes' Standard Model
1869:National Academy of Sciences
1148:Seda, Anthony Karel (1984).
746:Factor (functional analysis)
7:
2721:London Mathematical Society
2056:interview with Alain Connes
1896:Russian Academy of Sciences
1822:London Mathematical Society
1760:[Foreign members].
1677:"ULB's honorary doctorates"
1214:Nieuw Archief voor Wiskunde
1176:Lesniewski, Andrew (1997).
724:
646:, Colloquium Publications,
597:London Mathematical Society
431:the spectral Standard Model
400:
349:, under the supervision of
271:. He is a professor at the
10:
2737:
1709:French Academy of Sciences
1420:Holden, Constance (2001).
1393:"Crafoord Prize Laureates"
1343:Clay Mathematics Institute
1122:"The work of Alain Connes"
1009:(in French). 11 April 2022
693:Princeton University Press
668:Marcel-Paul Schutzenberger
609:Russian Academy of Science
581:French Academy of Sciences
463:, which culminated in the
2590:
2120:
1232:Mashaal, Maurice (2006).
1178:"Noncommutative Geometry"
574:Shanghai Fudan University
448:. He also formulated the
302:
281:
273:
235:
231:
217:
205:
189:
167:
155:
148:
107:
81:
67:
42:
30:
23:
2076:publications indexed by
2023:Non-commutative geometry
1272:(in French). 11 May 2022
632:
450:Connes embedding problem
339:École normale supérieure
72:École Normale Supérieure
1967:Noncommutative Geometry
1842:Royal Society of Canada
1758:"Utenlandske medlemmer"
842:Jackson, Allyn (2021).
707:Noncommutative Geometry
601:Royal Society of Canada
490:Connes was awarded the
411:noncommutative geometry
390:between 2012 and 2021.
269:noncommutative geometry
102:Thermal time hypothesis
90:Noncommutative geometry
2661:Differential geometers
2641:People from Draguignan
1629:"Lauree Honoris Causa"
849:Celebratio Mathematica
545:
465:Baum–Connes conjecture
86:Baum–Connes conjecture
1766:(in Norwegian Bokmål)
1576:Vanderbilt University
1072:Alexander Hellemans,
1034:Vanderbilt University
628:Triangle of Thoughts.
539:
467:. He also introduced
440:In his early work on
423:differential geometry
388:Ohio State University
384:Vanderbilt University
324:classes préparatoires
295:. He was awarded the
293:Vanderbilt University
289:Ohio State University
184:Vanderbilt University
180:Ohio State University
915:Goldstein, Catherine
878:Goldstein, Catherine
685:Jean-Pierre Changeux
624:Marco Schutzenberger
442:von Neumann algebras
37:Alain Connes in 2004
2060:discussion about it
2018:downloadable papers
1528:A Year at CNRS 2004
1090:Sabine Hossenfelder
1077:Scientific American
672:Triangle of Thought
504:Clay Research Award
492:Peccot-Vimont Prize
478:He was a member of
415:theoretical physics
309:Lycée Saint-Charles
132:Clay Research Award
112:Peccot-Vimont Prize
2610:Mathematics portal
1837:"Member Directory"
1548:Sciences et Avenir
1509:(in French). 2004.
1037:. 4 September 2003
948:"Curriculum Vitae"
911:Skandalis, Georges
874:Skandalis, Georges
786:Riemann hypothesis
731:Bost–Connes system
687:and Alain Connes,
664:André Lichnerowicz
620:André Lichnerowicz
562:University of Oslo
546:
486:Awards and honours
2618:
2617:
1969:, by Alan Connes"
1794:. 9 February 2023
1477:(in French). 2004
1373:. 24 January 2001
1338:"Research Awards"
1314:IMU Secretariat.
1295:. Springer-Verlag
1269:College de France
1249:978-0-8218-3967-6
1006:Collège de France
807:Robertson, Edmund
719:978-0-12-185860-5
701:978-0-691-00405-1
680:978-0-8218-2614-0
656:978-0-8218-4210-2
638:Alain Connes and
542:Villeneuve-d'Ascq
469:cyclic cohomology
457:operator K-theory
407:operator algebras
377:Collège de France
275:Collège de France
265:operator algebras
260:[alɛ̃kɔn]
249:
248:
226:Georges Skandalis
218:Doctoral students
172:Collège de France
150:Scientific career
117:CNRS Silver Medal
98:Operator algebras
2728:
2666:Fields Medalists
2608:
2598:
2597:
2114:Fields Medalists
2107:
2100:
2093:
2084:
2083:
2001:
2000:
1998:
1991:
1973:
1957:
1951:
1950:
1948:
1946:
1935:
1929:
1928:
1915:
1909:
1908:
1906:
1904:
1887:
1881:
1880:
1878:
1876:
1860:
1854:
1853:
1851:
1849:
1833:
1827:
1826:
1818:
1810:
1804:
1803:
1801:
1799:
1782:
1776:
1775:
1773:
1771:
1754:
1748:
1747:
1745:
1743:
1727:
1721:
1720:
1718:
1716:
1700:
1694:
1693:
1691:
1689:
1673:
1667:
1666:
1653:
1647:
1646:
1644:
1642:
1625:
1619:
1618:
1616:
1614:
1603:
1595:
1589:
1588:
1586:
1584:
1567:
1561:
1560:
1558:
1556:
1538:
1532:
1531:
1525:
1517:
1511:
1510:
1502:
1493:
1487:
1486:
1484:
1482:
1465:
1459:
1458:
1456:
1454:
1438:
1432:
1431:
1417:
1411:
1410:
1408:
1406:
1389:
1383:
1382:
1380:
1378:
1361:
1355:
1354:
1352:
1350:
1334:
1328:
1327:
1325:
1323:
1311:
1305:
1304:
1302:
1300:
1288:
1282:
1281:
1279:
1277:
1260:
1254:
1253:
1229:
1223:
1222:
1210:
1201:
1195:
1194:
1182:
1173:
1167:
1166:
1154:
1145:
1139:
1138:
1126:
1114:
1108:
1107:
1086:
1080:
1070:
1064:
1053:
1047:
1046:
1044:
1042:
1025:
1019:
1018:
1016:
1014:
997:
991:
990:
988:
986:
970:
964:
963:
961:
959:
944:
935:
934:
907:
898:
897:
870:
861:
860:
858:
856:
839:
828:
827:
825:
823:
805:O'Connor, John;
802:
640:Matilde Marcolli
611:in 2003 and the
550:honorary degrees
518:in 1977 and the
514:granted him the
506:in 2000 and the
480:Nicolas Bourbaki
427:particle physics
336:
317:
286:
285:
278:
277:
262:
257:
245:
242:
222:Jean-Benoît Bost
207:Doctoral advisor
201:
162:Particle physics
56:
52:
50:
35:
21:
20:
2736:
2735:
2731:
2730:
2729:
2727:
2726:
2725:
2621:
2620:
2619:
2614:
2586:
2585:
2582:
2555:
2528:
2501:
2474:
2447:
2430:
2403:
2376:
2349:
2327:
2305:
2278:
2261:
2234:
2207:
2190:
2173:
2156:
2139:
2116:
2111:
2020:, and his book
2010:
2005:
2004:
1996:
1971:
1958:
1954:
1944:
1942:
1937:
1936:
1932:
1917:
1916:
1912:
1902:
1900:
1889:
1888:
1884:
1874:
1872:
1862:
1861:
1857:
1847:
1845:
1835:
1834:
1830:
1816:
1812:
1811:
1807:
1797:
1795:
1784:
1783:
1779:
1769:
1767:
1756:
1755:
1751:
1741:
1739:
1729:
1728:
1724:
1714:
1712:
1702:
1701:
1697:
1687:
1685:
1675:
1674:
1670:
1665:(in Norwegian).
1662:Oslo University
1655:
1654:
1650:
1640:
1638:
1627:
1626:
1622:
1612:
1610:
1601:
1597:
1596:
1592:
1582:
1580:
1569:
1568:
1564:
1554:
1552:
1539:
1535:
1523:
1519:
1518:
1514:
1500:
1495:
1494:
1490:
1480:
1478:
1467:
1466:
1462:
1452:
1450:
1439:
1435:
1418:
1414:
1404:
1402:
1391:
1390:
1386:
1376:
1374:
1363:
1362:
1358:
1348:
1346:
1336:
1335:
1331:
1321:
1319:
1312:
1308:
1298:
1296:
1289:
1285:
1275:
1273:
1262:
1261:
1257:
1250:
1230:
1226:
1208:
1202:
1198:
1180:
1174:
1170:
1152:
1146:
1142:
1124:
1115:
1111:
1104:
1087:
1083:
1071:
1067:
1054:
1050:
1040:
1038:
1027:
1026:
1022:
1012:
1010:
999:
998:
994:
984:
982:
972:
971:
967:
957:
955:
954:. 22 April 2021
946:
945:
938:
908:
901:
871:
864:
854:
852:
840:
831:
821:
819:
803:
799:
794:
776:Spectral triple
741:Cyclic homology
736:Cyclic category
727:
635:
548:He was awarded
527:invited speaker
488:
435:quantum gravity
403:
351:Jacques Dixmier
330:
311:
305:
255:
239:
224:
212:Jacques Dixmier
199:
182:
178:
174:
160:
142:CNRS Gold medal
140:
135:
130:
125:
120:
115:
100:
96:
92:
88:
74:
68:Alma mater
63:
57:
54:
48:
46:
38:
26:
17:
12:
11:
5:
2734:
2724:
2723:
2718:
2713:
2708:
2703:
2698:
2693:
2688:
2683:
2678:
2673:
2668:
2663:
2658:
2653:
2648:
2643:
2638:
2633:
2616:
2615:
2613:
2612:
2602:
2591:
2588:
2587:
2584:
2583:
2581:
2580:
2575:
2570:
2565:
2558:
2556:
2554:
2553:
2548:
2543:
2538:
2531:
2529:
2527:
2526:
2521:
2516:
2511:
2504:
2502:
2500:
2499:
2494:
2489:
2484:
2477:
2475:
2473:
2472:
2467:
2462:
2457:
2450:
2448:
2446:
2445:
2440:
2433:
2431:
2429:
2428:
2423:
2418:
2413:
2406:
2404:
2402:
2401:
2396:
2391:
2386:
2379:
2377:
2375:
2374:
2369:
2364:
2359:
2352:
2350:
2348:
2347:
2342:
2337:
2330:
2328:
2326:
2325:
2320:
2315:
2308:
2306:
2304:
2303:
2298:
2293:
2288:
2281:
2279:
2277:
2276:
2271:
2264:
2262:
2260:
2259:
2254:
2249:
2244:
2237:
2235:
2233:
2232:
2227:
2222:
2217:
2210:
2208:
2206:
2205:
2200:
2193:
2191:
2189:
2188:
2183:
2176:
2174:
2172:
2171:
2166:
2159:
2157:
2155:
2154:
2149:
2142:
2140:
2138:
2137:
2132:
2125:
2122:
2121:
2118:
2117:
2110:
2109:
2102:
2095:
2087:
2081:
2080:
2078:Google Scholar
2071:
2062:
2052:
2047:
2035:
2009:
2008:External links
2006:
2003:
2002:
1982:(4): 459–465.
1978:. New Series.
1965:"Book Review:
1952:
1930:
1919:"Alain Connes"
1910:
1882:
1864:"Alain Connes"
1855:
1828:
1805:
1786:"Alain Connes"
1777:
1749:
1731:"Alain Connes"
1722:
1704:"Alain Connes"
1695:
1668:
1648:
1620:
1590:
1562:
1533:
1530:: 10–11. 2005.
1512:
1488:
1460:
1433:
1412:
1384:
1356:
1329:
1306:
1283:
1255:
1248:
1242:. p. 18.
1224:
1196:
1168:
1140:
1109:
1103:978-0465094257
1102:
1081:
1079:, 24 July 2006
1065:
1048:
1020:
1001:"Alain Connes"
992:
965:
936:
923:EMS Newsletter
899:
886:EMS Newsletter
862:
829:
811:"Alain Connes"
796:
795:
793:
790:
789:
788:
783:
778:
773:
768:
763:
758:
753:
748:
743:
738:
733:
726:
723:
722:
721:
711:Academic Press
705:Alain Connes,
703:
682:
662:Alain Connes,
660:
634:
631:
508:Crafoord Prize
487:
484:
402:
399:
304:
301:
247:
246:
237:
233:
232:
229:
228:
219:
215:
214:
209:
203:
202:
193:
187:
186:
169:
165:
164:
157:
153:
152:
146:
145:
137:Crafoord Prize
109:
105:
104:
83:
82:Known for
79:
78:
69:
65:
64:
58:
44:
40:
39:
36:
28:
27:
24:
15:
9:
6:
4:
3:
2:
2733:
2722:
2719:
2717:
2714:
2712:
2709:
2707:
2704:
2702:
2699:
2697:
2694:
2692:
2689:
2687:
2684:
2682:
2679:
2677:
2674:
2672:
2669:
2667:
2664:
2662:
2659:
2657:
2654:
2652:
2649:
2647:
2644:
2642:
2639:
2637:
2636:Living people
2634:
2632:
2629:
2628:
2626:
2611:
2607:
2603:
2601:
2593:
2592:
2589:
2579:
2576:
2574:
2571:
2569:
2566:
2564:
2563:Duminil-Copin
2560:
2559:
2557:
2552:
2549:
2547:
2544:
2542:
2539:
2537:
2533:
2532:
2530:
2525:
2522:
2520:
2517:
2515:
2512:
2510:
2506:
2505:
2503:
2498:
2495:
2493:
2490:
2488:
2485:
2483:
2482:Lindenstrauss
2479:
2478:
2476:
2471:
2468:
2466:
2463:
2461:
2458:
2456:
2452:
2451:
2449:
2444:
2441:
2439:
2435:
2434:
2432:
2427:
2424:
2422:
2419:
2417:
2414:
2412:
2408:
2407:
2405:
2400:
2397:
2395:
2392:
2390:
2387:
2385:
2381:
2380:
2378:
2373:
2370:
2368:
2365:
2363:
2360:
2358:
2354:
2353:
2351:
2346:
2343:
2341:
2338:
2336:
2332:
2331:
2329:
2324:
2321:
2319:
2316:
2314:
2310:
2309:
2307:
2302:
2299:
2297:
2294:
2292:
2289:
2287:
2283:
2282:
2280:
2275:
2272:
2270:
2266:
2265:
2263:
2258:
2255:
2253:
2250:
2248:
2245:
2243:
2239:
2238:
2236:
2231:
2228:
2226:
2223:
2221:
2218:
2216:
2212:
2211:
2209:
2204:
2201:
2199:
2195:
2194:
2192:
2187:
2184:
2182:
2178:
2177:
2175:
2170:
2167:
2165:
2161:
2160:
2158:
2153:
2150:
2148:
2144:
2143:
2141:
2136:
2133:
2131:
2127:
2126:
2124:
2123:
2119:
2115:
2108:
2103:
2101:
2096:
2094:
2089:
2088:
2085:
2079:
2075:
2072:
2070:
2066:
2063:
2061:
2057:
2053:
2051:
2048:
2046:
2044:
2039:
2036:
2033:
2032:0-12-185860-X
2029:
2025:
2024:
2019:
2015:
2012:
2011:
1995:
1990:
1985:
1981:
1977:
1970:
1968:
1962:
1961:Segal, Irving
1956:
1940:
1934:
1926:
1925:
1920:
1914:
1898:
1897:
1892:
1886:
1871:
1870:
1865:
1859:
1844:
1843:
1838:
1832:
1824:
1823:
1815:
1809:
1793:
1792:
1787:
1781:
1765:
1764:
1759:
1753:
1738:
1737:
1732:
1726:
1711:
1710:
1705:
1699:
1684:
1683:
1678:
1672:
1664:
1663:
1658:
1652:
1636:
1635:
1630:
1624:
1609:
1608:
1600:
1594:
1578:
1577:
1572:
1566:
1550:
1549:
1544:
1537:
1529:
1522:
1516:
1508:
1507:
1498:
1492:
1476:
1475:
1470:
1464:
1448:
1444:
1437:
1429:
1428:
1423:
1416:
1400:
1399:
1394:
1388:
1372:
1371:
1366:
1360:
1345:
1344:
1339:
1333:
1317:
1310:
1294:
1287:
1271:
1270:
1265:
1259:
1251:
1245:
1241:
1237:
1236:
1228:
1221:(5): 250–256.
1220:
1216:
1215:
1207:
1200:
1193:(7): 800–805.
1192:
1188:
1187:
1179:
1172:
1164:
1160:
1159:
1151:
1144:
1137:(6): 499–501.
1136:
1132:
1131:
1123:
1119:
1118:Moore, Calvin
1113:
1105:
1099:
1095:
1091:
1085:
1078:
1075:
1069:
1062:
1058:
1052:
1036:
1035:
1030:
1024:
1008:
1007:
1002:
996:
981:
980:
975:
969:
953:
949:
943:
941:
932:
928:
924:
920:
916:
912:
906:
904:
895:
891:
887:
883:
879:
875:
869:
867:
851:
850:
845:
838:
836:
834:
818:
817:
812:
808:
801:
797:
787:
784:
782:
779:
777:
774:
772:
769:
767:
764:
762:
759:
757:
754:
752:
749:
747:
744:
742:
739:
737:
734:
732:
729:
728:
720:
716:
712:
708:
704:
702:
698:
694:
690:
686:
683:
681:
677:
673:
669:
665:
661:
659:
657:
653:
649:
645:
641:
637:
636:
630:
629:
625:
621:
616:
614:
610:
607:in 1997, the
606:
602:
598:
595:in 1989, the
594:
591:in 1983, the
590:
587:in 1980, the
586:
582:
577:
575:
571:
567:
563:
559:
555:
551:
543:
538:
534:
532:
528:
523:
521:
517:
513:
510:in 2001. The
509:
505:
502:in 1982, the
501:
498:in 1980, the
497:
494:in 1976, the
493:
483:
481:
476:
474:
470:
466:
462:
458:
453:
451:
447:
443:
438:
436:
432:
428:
424:
420:
419:number theory
416:
412:
408:
398:
396:
391:
389:
385:
380:
378:
374:
370:
365:
363:
359:
354:
352:
348:
344:
340:
334:
329:
325:
321:
315:
310:
300:
298:
294:
290:
284:
276:
270:
266:
261:
253:
244:
238:
234:
230:
227:
223:
220:
216:
213:
210:
208:
204:
197:
194:
192:
188:
185:
181:
177:
173:
170:
166:
163:
158:
154:
151:
147:
143:
138:
133:
128:
123:
118:
113:
110:
106:
103:
99:
95:
91:
87:
84:
80:
77:
73:
70:
66:
61:
55:(age 77)
45:
41:
34:
29:
22:
19:
2312:
2225:Grothendieck
2074:Alain Connes
2065:Alain Connes
2042:
2038:Alain Connes
2022:
1979:
1975:
1966:
1955:
1943:. Retrieved
1933:
1927:(in French).
1922:
1913:
1901:. Retrieved
1899:(in Russian)
1894:
1885:
1873:. Retrieved
1867:
1858:
1846:. Retrieved
1840:
1831:
1820:
1808:
1796:. Retrieved
1789:
1780:
1768:. Retrieved
1761:
1752:
1740:. Retrieved
1734:
1725:
1713:. Retrieved
1707:
1698:
1686:. Retrieved
1680:
1671:
1660:
1651:
1639:. Retrieved
1637:(in Italian)
1632:
1623:
1611:. Retrieved
1605:
1593:
1581:. Retrieved
1574:
1565:
1553:. Retrieved
1546:
1536:
1527:
1515:
1504:
1491:
1479:. Retrieved
1472:
1463:
1451:. Retrieved
1446:
1436:
1425:
1415:
1403:. Retrieved
1396:
1387:
1375:. Retrieved
1368:
1359:
1347:. Retrieved
1341:
1332:
1320:. Retrieved
1309:
1297:. Retrieved
1286:
1274:. Retrieved
1267:
1258:
1234:
1227:
1218:
1212:
1199:
1190:
1184:
1171:
1162:
1156:
1143:
1134:
1128:
1112:
1093:
1084:
1076:
1068:
1060:
1056:
1051:
1039:. Retrieved
1032:
1023:
1011:. Retrieved
1004:
995:
983:. Retrieved
977:
968:
956:. Retrieved
952:Alain Connes
951:
926:
922:
889:
885:
853:. Retrieved
847:
820:. Retrieved
814:
800:
706:
688:
671:
643:
627:
617:
578:
572:in 2010 and
547:
524:
516:silver medal
500:Fields Medal
496:Ampère Prize
489:
477:
461:index theory
454:
439:
417:, including
404:
392:
381:
366:
355:
328:Lycée Thiers
306:
297:Fields Medal
252:Alain Connes
251:
250:
195:
168:Institutions
159:Mathematics
149:
127:Fields Medal
122:Ampère Prize
53:1 April 1947
25:Alain Connes
18:
2631:1947 births
2561:2022
2534:2018
2507:2014
2480:2010
2453:2006
2436:2002
2409:1998
2382:1994
2355:1990
2333:1986
2311:1982
2284:1978
2267:1974
2240:1970
2213:1966
2196:1962
2179:1958
2162:1954
2145:1950
2128:1936
2016:containing
1551:(in French)
1449:(in French)
958:8 September
751:Higgs boson
364:in Canada.
331: [
312: [
241:alainconnes
2625:Categories
2524:Mirzakhani
2421:Kontsevich
1405:2 December
1322:2 December
1299:2 December
792:References
756:C*-algebra
525:He was an
520:gold medal
409:. Besides
60:Draguignan
49:1947-04-01
2578:Viazovska
2551:Venkatesh
2443:Voevodsky
2438:Lafforgue
2411:Borcherds
2335:Donaldson
2291:Fefferman
2198:Hörmander
615:in 2016.
576:in 2017.
568:in 2009,
564:in 1999,
560:in 1997,
556:in 1979,
522:in 2004.
320:Marseille
299:in 1982.
2600:Category
2514:Bhargava
2460:Perelman
2455:Okounkov
2426:McMullen
2399:Zelmanov
2384:Bourgain
2357:Drinfeld
2345:Freedman
2340:Faltings
2318:Thurston
2296:Margulis
2269:Bombieri
2257:Thompson
2247:Hironaka
2147:Schwartz
1994:Archived
1963:(1996).
1165:: 38–48.
1120:(1982).
1092:(2018).
933:: 29–33.
917:(2008).
896:: 25–30.
880:(2007).
771:Groupoid
766:M-theory
725:See also
713:, 1994,
695:, 1998,
650:, 2007,
401:Research
62:, France
2573:Maynard
2546:Scholze
2541:Figalli
2497:Villani
2492:Smirnov
2301:Quillen
2286:Deligne
2274:Mumford
2252:Novikov
2164:Kodaira
2152:Selberg
2135:Douglas
2130:Ahlfors
2067:at the
2040:at the
1427:Science
603:), the
529:at the
446:factors
256:French:
236:Website
2536:Birkar
2519:Hairer
2470:Werner
2416:Gowers
2394:Yoccoz
2372:Witten
2313:Connes
2215:Atiyah
2203:Milnor
2058:and a
2030:
1945:26 May
1903:19 May
1875:19 May
1848:19 May
1798:19 May
1770:19 May
1742:19 May
1715:19 May
1688:26 May
1641:26 May
1613:26 May
1583:26 May
1579:. 2005
1555:26 May
1481:26 May
1453:26 May
1401:. 2000
1377:26 May
1349:26 May
1276:26 May
1246:
1100:
1041:18 May
1013:26 May
985:26 May
855:18 May
822:19 May
717:
699:
678:
666:, and
654:
303:Career
200:(1973)
198:
191:Thesis
156:Fields
144:(2004)
139:(2001)
134:(2000)
129:(1982)
124:(1980)
119:(1977)
114:(1976)
108:Awards
2509:Avila
2389:Lions
2362:Jones
2242:Baker
2230:Smale
2220:Cohen
2169:Serre
1997:(PDF)
1972:(PDF)
1817:(PDF)
1602:(PDF)
1524:(PDF)
1501:(PDF)
1209:(PDF)
1181:(PDF)
1153:(PDF)
1125:(PDF)
633:Books
552:from
343:Paris
335:]
316:]
2367:Mori
2186:Thom
2181:Roth
2028:ISBN
1947:2023
1905:2023
1877:2023
1850:2023
1800:2023
1772:2023
1744:2023
1717:2023
1690:2023
1643:2023
1615:2023
1585:2023
1557:2023
1506:CNRS
1483:2023
1474:CNRS
1455:2023
1407:2018
1379:2023
1351:2023
1324:2018
1301:2018
1278:2023
1244:ISBN
1098:ISBN
1043:2023
1015:2023
987:2023
979:IHES
960:2022
857:2023
824:2023
715:ISBN
697:ISBN
676:ISBN
652:ISBN
622:and
459:and
425:and
373:IHES
369:CNRS
291:and
267:and
243:.org
176:IHÉS
43:Born
2568:Huh
2487:Ngô
2465:Tao
2323:Yau
2054:An
2045:Lab
1984:doi
341:in
326:in
318:in
2627::
2026:,
1992:.
1980:33
1974:.
1921:.
1866:.
1839:.
1819:.
1788:.
1733:.
1706:.
1679:.
1631:.
1604:.
1573:.
1526:.
1503:.
1424:.
1395:.
1367:.
1340:.
1238:.
1219:11
1217:.
1211:.
1191:44
1189:.
1183:.
1163:11
1161:.
1155:.
1135:29
1133:.
1127:.
1096:.
1059:,
1031:.
1003:.
976:.
950:.
939:^
929:.
927:67
925:.
921:.
913:;
902:^
892:.
890:63
888:.
884:.
876:;
865:^
846:.
832:^
813:.
809:.
709:,
670:,
642:,
482:.
475:.
452:.
437:.
421:,
397:.
379:.
353:.
333:fr
314:fr
287:,
279:,
51:)
2106:e
2099:t
2092:v
2043:n
2034:.
1986::
1949:.
1907:.
1879:.
1852:.
1825:.
1802:.
1774:.
1746:.
1719:.
1692:.
1645:.
1617:.
1587:.
1559:.
1485:.
1457:.
1430:.
1409:.
1381:.
1353:.
1326:.
1303:.
1280:.
1252:.
1106:.
1061:4
1045:.
1017:.
989:.
962:.
859:.
826:.
544:.
254:(
47:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
