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János Kollár

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554: 281:. (In 1952 Nash conjectured a converse to a famous theorem he proved, and Kollár was able to provide many 3-dimensional counterexamples from an important new structure theory for a class of 3-dimensional algebraic varieties.) 1902: 1917: 456: 1912: 1867: 1907: 1897: 332: 1892: 516: 384: 358: 483: 1862: 1852: 1200: 631: 1857: 1847: 902: 527: 558: 1882: 1000: 738: 711: 607: 543: 1887: 1877: 585: 235: 1193: 675: 648: 199: 81: 1119: 1079: 1036: 159: 1672: 566: 243: 1186: 1168: 894: 539: 535: 1842: 1607: 285: 98: 960: 389: 956: 1467: 1451: 1872: 1286: 1704: 1545: 1837: 291: 1408: 825: 785: 278: 1832: 1427: 223: 133: 1770: 1708: 1481: 1378: 584:
As a high school student, Kollár represented Hungary and won Gold medals at both the 1973 and 1974
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Low degree polynomial equations: arithmetic, geometry and topology
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Kollár, János; Mori, Shigefumi; Clemens, C. Herbert (1998).
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Notices AMS on Winner of the Cole Prize 2006, pdf-data file
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variables; if they have no common zero, then the equation
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Members of the United States National Academy of Sciences
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for varieties over the complex field to varieties over
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Fellows of the American Academy of Arts and Sciences
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List of Fellows of the American Mathematical Society
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from 1987 until 1999. Currently, he is professor at
1637: 1418: 1217: 155: 143: 129: 121: 87: 73: 65: 41: 34: 721:Kollár, János; Kovács, Sándor (21 February 2013). 510: 477: 450: 378: 352: 326: 820:"Proc. Internat. Congr. Math". AMS. 1952: 516–17. 1913:International Mathematical Olympiad participants 696:Lectures on Resolution of Singularities (AM-166) 959:. Hungarian Academy of Sciences. Archived from 783:Nash, John (1952). "Real algebraic manifolds". 451:{\displaystyle g_{1}f_{1}+\cdots +g_{m}f_{m}=1} 1868:Institute for Advanced Study visiting scholars 538:since 1995. In 2012 he became a fellow of the 284:Kollár also gave the first algebraic proof of 210:with a thesis on canonical threefolds. He was 1194: 234:Kollár is known for his contributions to the 8: 1908:Fellows of the American Mathematical Society 1898:Members of the Hungarian Academy of Sciences 903:Journal of the American Mathematical Society 1201: 1187: 1179: 1082:Birational geometry of algebraic varieties 723:Singularities of the Minimal Model Program 668:Birational geometry of algebraic varieties 630:: CS1 maint: location missing publisher ( 202:in Budapest and later received his PhD at 31: 1146: 1102: 1059: 869: 670:. Cambridge: Cambridge University Press. 534:in 2006. He is an external member of the 496: 490: 469: 463: 458:has a solution such that each polynomial 436: 426: 407: 397: 391: 365: 339: 318: 299: 293: 559:International Congress of Mathematicians 1126:Lectures on resolution of singularities 858:Electron. Res. Announc. Amer. Math. Soc 753: 218:from 1984 to 1987 and professor at the 1039:Rational curves on algebraic varieties 834: 823: 641:Rational curves on algebraic varieties 623: 600:Shafarevich maps and automorphic forms 1863:21st-century Hungarian mathematicians 1853:20th-century Hungarian mathematicians 1084:, by János Kollár and Shigefumi Mori" 1001:American Academy of Arts and Sciences 544:American Academy of Arts and Sciences 7: 1858:21st-century American mathematicians 1848:20th-century American mathematicians 854:"The Nash conjecture for threefolds" 586:International Mathematical Olympiads 542:. In 2016 he became a fellow of the 327:{\displaystyle f_{1},\ldots ,f_{m}} 762:"Mathematics Department Directory" 694:Kollár, János (31 December 2009). 25: 895:"Sharp Effective Nullstellensatz" 334:be polynomials of degree at most 198:Kollár began his studies at the 1893:Eötvös Loránd University alumni 254:, for pioneering the notion of 206:in 1984 under the direction of 186:mathematician, specializing in 725:. Cambridge University Press. 698:. Princeton University Press. 567:European Mathematical Congress 267:rationally connected varieties 1: 1169:Mathematics Genealogy Project 1148:10.1090/s0273-0979-10-01301-7 1135:Bull. Amer. Math. Soc. (N.S.) 1124:by Steven Dale Cutkovsky and 1104:10.1090/s0273-0979-01-00910-7 1091:Bull. Amer. Math. Soc. (N.S.) 1061:10.1090/s0273-0979-00-00889-2 1048:Bull. Amer. Math. Soc. (N.S.) 871:10.1090/s1079-6762-98-00049-3 690:(Japanese by Iwanami Shoten). 540:American Mathematical Society 536:Hungarian Academy of Sciences 1883:Princeton University faculty 984:, retrieved 27 January 2013. 530:since 2005 and received the 528:National Academy of Sciences 99:Nemmers Prize in Mathematics 1122:Resolution of singularities 1934: 1888:Brandeis University alumni 1878:University of Utah faculty 864:(10): 63–73 (electronic). 550:in Mathematical Sciences. 546:. In 2017 he received the 526:Kollár is a member of the 602:. Princeton, New Jersey. 286:effective Nullstellensatz 173: 114: 731:10.1017/cbo9781139547895 265:extending the theory of 182:(born 7 June 1956) is a 1705:Demetrios Christodoulou 1546:Everett Peter Greenberg 511:{\displaystyle d^{n}-d} 379:{\displaystyle n\geq 2} 353:{\displaystyle d\geq 3} 27:Hungarian mathematician 893:Kollár, János (1988), 852:Kollár, János (1998). 833:Cite journal requires 764:. Princeton University 639:Kollár, János (1996). 598:Kollár, János (1995). 512: 479: 452: 380: 354: 328: 1409:Shrinivas R. Kulkarni 1174:Homepage in Princeton 996:Newly Elected Members 957:"HAS: Members of HAS" 786:Annals of Mathematics 704:10.1515/9781400827800 513: 480: 478:{\displaystyle g_{j}} 453: 381: 355: 329: 236:minimal model program 1468:Keith H. S. Campbell 1428:Stanley Norman Cohen 643:. Berlin: Springer. 489: 462: 390: 364: 338: 292: 224:Princeton University 134:Princeton University 1843:Algebraic geometers 1771:Alexander Beilinson 1709:Richard S. Hamilton 1379:Chryssa Kouveliotou 485:has degree at most 277:to a conjecture of 204:Brandeis University 194:Professional career 78:Brandeis University 1781:Jean-Michel Bismut 1508:Franz-Ulrich Hartl 1331:William J. Borucki 1041:, by János Kollár" 963:on 3 December 2009 553:In 1990 he was an 508: 475: 448: 376: 350: 324: 252:algebraic surfaces 220:University of Utah 216:Harvard University 208:Teruhisa Matsusaka 188:algebraic geometry 150:Teruhisa Matsusaka 138:University of Utah 1820: 1819: 1801:Vladimir Drinfeld 1647:Shiing-Shen Chern 1604:Paul A. Negulescu 1512:Arthur L. Horwich 1385:Lennart Lindegren 1317:Daniel Eisenstein 1118:Abramovich, Dan. 740:978-1-107-03534-8 713:978-1-4008-2780-0 609:978-1-4008-6419-5 522:Awards and honors 200:Eötvös University 177: 176: 156:Doctoral students 116:Scientific career 82:Eötvös University 16:(Redirected from 1925: 1765:Michel Talagrand 1715:Maxim Kontsevich 1669:Robert Langlands 1608:Michael J. Welsh 1572:Mary-Claire King 1526:Michael W. Young 1498:Ruslan Medzhitov 1482:Jeffrey Friedman 1458:Robert Lefkowitz 1446:Michael Berridge 1403:Maura McLaughlin 1389:Michael Perryman 1203: 1196: 1189: 1180: 1153: 1152: 1150: 1132: 1128:by János Kollár" 1115: 1109: 1108: 1106: 1088: 1076:Kawamata, Yujiro 1072: 1066: 1065: 1063: 1045: 1029: 1023: 1018: 1012: 1011: 1010: 1008: 991: 985: 979: 973: 972: 970: 968: 953: 947: 941: 935: 934: 899: 890: 884: 883: 873: 849: 843: 842: 836: 831: 829: 821: 810: 780: 774: 773: 771: 769: 758: 744: 717: 689: 662: 635: 629: 621: 517: 515: 514: 509: 501: 500: 484: 482: 481: 476: 474: 473: 457: 455: 454: 449: 441: 440: 431: 430: 412: 411: 402: 401: 385: 383: 382: 377: 359: 357: 356: 351: 333: 331: 330: 325: 323: 322: 304: 303: 244:compactification 145:Doctoral advisor 110: 103: 96: 55: 51: 49: 32: 21: 1933: 1932: 1928: 1927: 1926: 1924: 1923: 1922: 1873:Harvard Fellows 1823: 1822: 1821: 1816: 1795:Ehud Hrushovski 1759:Luis Caffarelli 1693:Clifford Taubes 1689:Simon Donaldson 1679:Vladimir Arnold 1639: 1633: 1624:Stuart H. Orkin 1584:Gero Miesenböck 1522:Michael Rosbash 1518:Jeffrey C. Hall 1478:Douglas Coleman 1472:Shinya Yamanaka 1420: 1414: 1369:Roger Blandford 1363:Edward C. Stone 1357:Jean-Loup Puget 1325:John A. Peacock 1297:David C. Jewitt 1273:Charles Bennett 1261:Reinhard Genzel 1255:Peter Goldreich 1241:Saul Perlmutter 1213: 1207: 1161: 1156: 1130: 1117: 1116: 1112: 1086: 1074: 1073: 1069: 1043: 1031: 1030: 1026: 1021:Shaw Prize 2017 1019: 1015: 1006: 1004: 993: 992: 988: 980: 976: 966: 964: 955: 954: 950: 942: 938: 916:10.2307/1990996 897: 892: 891: 887: 851: 850: 846: 832: 822: 819: 799:10.2307/1969649 782: 781: 777: 767: 765: 760: 759: 755: 751: 741: 720: 714: 693: 678: 665: 651: 638: 622: 610: 597: 594: 555:invited speaker 524: 492: 487: 486: 465: 460: 459: 432: 422: 403: 393: 388: 387: 362: 361: 336: 335: 314: 295: 290: 289: 275:counterexamples 273:), and finding 232: 196: 166: 162: 160:Carolina Araujo 136: 108: 104: 101: 97: 94: 80: 74:Alma mater 61: 56: 53: 47: 45: 37: 28: 23: 22: 15: 12: 11: 5: 1931: 1929: 1921: 1920: 1915: 1910: 1905: 1900: 1895: 1890: 1885: 1880: 1875: 1870: 1865: 1860: 1855: 1850: 1845: 1840: 1835: 1825: 1824: 1818: 1817: 1815: 1814: 1808: 1805:Shing-Tung Yau 1798: 1788: 1778: 1768: 1762: 1756: 1746: 1740: 1737:Henryk Iwaniec 1730: 1727:George Lusztig 1724: 1718: 1712: 1702: 1696: 1686: 1683:Ludwig Faddeev 1676: 1673:Richard Taylor 1666: 1656: 1650: 1643: 1641: 1635: 1634: 1632: 1631: 1628:Swee Lay Thein 1621: 1614:Patrick Cramer 1611: 1601: 1595: 1588:Peter Hegemann 1581: 1575: 1569: 1562:Ian R. Gibbons 1559: 1549: 1542:Bonnie Bassler 1539: 1532:Kazutoshi Mori 1529: 1515: 1505: 1494:Jules Hoffmann 1491: 1485: 1475: 1461: 1455: 1449: 1443: 1424: 1422: 1416: 1415: 1413: 1412: 1406: 1399:Duncan Lorimer 1395:Matthew Bailes 1392: 1382: 1375:Victoria Kaspi 1372: 1366: 1360: 1354: 1348: 1334: 1328: 1314: 1311:John F. Hawley 1304: 1294: 1291:Gerald Fishman 1284: 1270: 1264: 1258: 1252: 1238: 1231:Geoffrey Marcy 1228: 1221: 1219: 1215: 1214: 1208: 1206: 1205: 1198: 1191: 1183: 1177: 1176: 1171: 1160: 1159:External links 1157: 1155: 1154: 1141:(1): 115–122. 1110: 1097:(2): 267–272. 1067: 1054:(1): 109–115. 1024: 1013: 986: 974: 948: 936: 910:(4): 963–975, 885: 844: 835:|journal= 775: 752: 750: 747: 746: 745: 739: 718: 712: 691: 676: 663: 649: 636: 608: 593: 590: 523: 520: 507: 504: 499: 495: 472: 468: 447: 444: 439: 435: 429: 425: 421: 418: 415: 410: 406: 400: 396: 375: 372: 369: 349: 346: 343: 321: 317: 313: 310: 307: 302: 298: 242:and hence the 231: 228: 195: 192: 175: 174: 171: 170: 157: 153: 152: 147: 141: 140: 131: 127: 126: 123: 119: 118: 112: 111: 89: 85: 84: 75: 71: 70: 67: 63: 62: 57: 43: 39: 38: 35: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1930: 1919: 1916: 1914: 1911: 1909: 1906: 1904: 1901: 1899: 1896: 1894: 1891: 1889: 1886: 1884: 1881: 1879: 1876: 1874: 1871: 1869: 1866: 1864: 1861: 1859: 1856: 1854: 1851: 1849: 1846: 1844: 1841: 1839: 1838:Living people 1836: 1834: 1831: 1830: 1828: 1812: 1809: 1806: 1802: 1799: 1796: 1792: 1789: 1786: 1782: 1779: 1776: 1775:David Kazhdan 1772: 1769: 1766: 1763: 1760: 1757: 1754: 1753:Claire Voisin 1750: 1747: 1744: 1743:Nigel Hitchin 1741: 1738: 1734: 1733:Gerd Faltings 1731: 1728: 1725: 1722: 1719: 1716: 1713: 1710: 1706: 1703: 1700: 1699:Jean Bourgain 1697: 1694: 1690: 1687: 1684: 1680: 1677: 1674: 1670: 1667: 1664: 1660: 1659:David Mumford 1657: 1654: 1651: 1648: 1645: 1644: 1642: 1636: 1629: 1625: 1622: 1619: 1615: 1612: 1609: 1605: 1602: 1599: 1596: 1593: 1589: 1585: 1582: 1579: 1576: 1573: 1570: 1567: 1563: 1560: 1557: 1553: 1550: 1547: 1543: 1540: 1537: 1533: 1530: 1527: 1523: 1519: 1516: 1513: 1509: 1506: 1503: 1502:Bruce Beutler 1499: 1495: 1492: 1489: 1486: 1483: 1479: 1476: 1473: 1469: 1465: 1462: 1459: 1456: 1453: 1452:Xiaodong Wang 1450: 1447: 1444: 1441: 1437: 1433: 1432:Herbert Boyer 1429: 1426: 1425: 1423: 1417: 1410: 1407: 1404: 1400: 1396: 1393: 1390: 1386: 1383: 1380: 1376: 1373: 1370: 1367: 1364: 1361: 1358: 1355: 1352: 1349: 1346: 1342: 1338: 1337:Ronald Drever 1335: 1332: 1329: 1326: 1322: 1318: 1315: 1312: 1308: 1307:Steven Balbus 1305: 1302: 1298: 1295: 1292: 1288: 1285: 1282: 1281:David Spergel 1278: 1274: 1271: 1268: 1265: 1262: 1259: 1256: 1253: 1250: 1249:Brian Schmidt 1246: 1242: 1239: 1236: 1232: 1229: 1226: 1223: 1222: 1220: 1216: 1211: 1204: 1199: 1197: 1192: 1190: 1185: 1184: 1181: 1175: 1172: 1170: 1166: 1163: 1162: 1158: 1149: 1144: 1140: 1136: 1129: 1127: 1123: 1114: 1111: 1105: 1100: 1096: 1092: 1085: 1083: 1077: 1071: 1068: 1062: 1057: 1053: 1049: 1042: 1040: 1034: 1028: 1025: 1022: 1017: 1014: 1002: 998: 997: 990: 987: 983: 978: 975: 962: 958: 952: 949: 945: 940: 937: 933: 929: 925: 921: 917: 913: 909: 905: 904: 896: 889: 886: 881: 877: 872: 867: 863: 859: 855: 848: 845: 840: 827: 817: 814: 808: 804: 800: 796: 793:(3): 405–21. 792: 788: 787: 779: 776: 763: 757: 754: 748: 742: 736: 732: 728: 724: 719: 715: 709: 705: 701: 697: 692: 687: 683: 679: 677:0-521-63277-3 673: 669: 664: 660: 656: 652: 650:3-540-60168-6 646: 642: 637: 633: 627: 619: 615: 611: 605: 601: 596: 595: 591: 589: 587: 582: 580: 576: 572: 568: 564: 560: 556: 551: 549: 545: 541: 537: 533: 529: 521: 519: 505: 502: 497: 493: 470: 466: 445: 442: 437: 433: 427: 423: 419: 416: 413: 408: 404: 398: 394: 373: 370: 367: 347: 344: 341: 319: 315: 311: 308: 305: 300: 296: 287: 282: 280: 276: 272: 268: 264: 260: 259:connectedness 257: 253: 249: 245: 241: 237: 230:Contributions 229: 227: 225: 221: 217: 213: 212:Junior Fellow 209: 205: 201: 193: 191: 189: 185: 181: 172: 169: 165: 164:Alessio Corti 161: 158: 154: 151: 148: 146: 142: 139: 135: 132: 128: 124: 120: 117: 113: 107: 100: 93: 90: 86: 83: 79: 76: 72: 68: 64: 60: 54:(age 68) 44: 40: 33: 30: 19: 1811:Peter Sarnak 1785:Jeff Cheeger 1749:János Kollár 1748: 1721:David Donoho 1653:Andrew Wiles 1638:Mathematical 1598:Scott D. Emr 1536:Peter Walter 1488:David Julius 1440:Richard Doll 1436:Yuet-Wai Kan 1421:and medicine 1419:Life science 1345:Rainer Weiss 1287:Enrico Costa 1235:Michel Mayor 1165:János Kollár 1138: 1134: 1125: 1121: 1113: 1094: 1090: 1081: 1070: 1051: 1047: 1038: 1027: 1016: 1005:, retrieved 1003:, April 2016 995: 989: 977: 965:. Retrieved 961:the original 951: 939: 907: 901: 888: 861: 857: 847: 826:cite journal 790: 784: 778: 766:. Retrieved 756: 722: 695: 667: 640: 599: 583: 574: 552: 525: 283: 271:local fields 262: 233: 197: 180:János Kollár 179: 178: 130:Institutions 115: 36:János Kollár 29: 18:Janos Kollar 1833:1956 births 1618:Eva Nogales 1592:Georg Nagel 1578:Maria Jasin 1566:Ronald Vale 1556:Huda Zoghbi 1552:Adrian Bird 1351:Simon White 1225:Jim Peebles 1033:Reid, Miles 168:Chenyang Xu 125:Mathematics 66:Nationality 52:7 June 1956 1827:Categories 1663:Wentsun Wu 1464:Ian Wilmut 1341:Kip Thorne 1321:Shaun Cole 1277:Lyman Page 1245:Adam Riess 1210:Shaw Prize 967:23 January 768:23 January 749:References 548:Shaw Prize 532:Cole Prize 240:threefolds 106:Shaw Prize 92:Cole Prize 48:1956-06-07 1791:Noga Alon 1267:Frank Shu 1218:Astronomy 1212:laureates 1120:"Review: 1080:"Review: 1037:"Review: 626:cite book 618:889251457 561:(ICM) in 503:− 417:⋯ 371:≥ 345:≥ 309:… 279:John Nash 184:Hungarian 69:Hungarian 1301:Jane Luu 1078:(2001). 1035:(2000). 1007:20 April 686:39147883 659:33243194 571:Budapest 256:rational 59:Budapest 1640:science 1167:at the 946:(67 kB) 932:0944576 924:1990996 880:1641168 816:0050928 807:1969649 557:at the 1813:(2024) 1807:(2023) 1797:(2022) 1787:(2021) 1777:(2020) 1767:(2019) 1761:(2018) 1755:(2017) 1745:(2016) 1739:(2015) 1729:(2014) 1723:(2013) 1717:(2012) 1711:(2011) 1701:(2010) 1695:(2009) 1685:(2008) 1675:(2007) 1665:(2006) 1655:(2005) 1649:(2004) 1630:(2024) 1620:(2023) 1610:(2022) 1600:(2021) 1594:(2020) 1580:(2019) 1574:(2018) 1568:(2017) 1558:(2016) 1548:(2015) 1538:(2014) 1528:(2013) 1514:(2012) 1504:(2011) 1490:(2010) 1484:(2009) 1474:(2008) 1460:(2007) 1454:(2006) 1448:(2005) 1442:(2004) 1411:(2024) 1405:(2023) 1391:(2022) 1381:(2021) 1371:(2020) 1365:(2019) 1359:(2018) 1353:(2017) 1347:(2016) 1333:(2015) 1327:(2014) 1313:(2013) 1303:(2012) 1293:(2011) 1283:(2010) 1269:(2009) 1263:(2008) 1257:(2007) 1251:(2006) 1237:(2005) 1227:(2004) 930:  922:  878:  818:. 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Index

Janos Kollar
Budapest
Brandeis University
Eötvös University
Cole Prize
Nemmers Prize in Mathematics
Shaw Prize
Princeton University
University of Utah
Doctoral advisor
Teruhisa Matsusaka
Carolina Araujo
Alessio Corti
Chenyang Xu
Hungarian
algebraic geometry
Eötvös University
Brandeis University
Teruhisa Matsusaka
Junior Fellow
Harvard University
University of Utah
Princeton University
minimal model program
threefolds
compactification
moduli
algebraic surfaces
rational
connectedness

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