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Curtis T. McMullen

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McMullen, C. T. (2005), "Minkowski's conjecture, well-rounded lattices and topological dimension",
184: 1019: 367: 1647: 1355: 1186: 258:(born May 21, 1958) is an American mathematician who is the Cabot Professor of Mathematics at 1448: 941:
Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyoto, Japan
893: 359: 130: 275: 105: 1642: 855:, Annals of Mathematics Studies, vol. 142, Princeton, NJ: Princeton University Press, 835:, Annals of Mathematics Studies, vol. 135, Princeton, NJ: Princeton University Press, 807: 759: 739: 691: 667: 621: 575: 545: 497: 477: 453: 433: 413: 319: 167: 61: 939:
McMullen, Curtis T. (1991). "Rational maps and Kleinian groups". In Satake, Ichiro (ed.).
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McMullen, C. T. (2016), "Automorphisms of projective K3 surfaces with minimum entropy",
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McMullen, C. T. (2003), "Billiards and TeichmĂĽller curves on Hilbert modular surfaces",
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Lepowsky, James; Lindenstrauss, Joram; Manin, Yuri I.; Milnor, John (January 1999).
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McMullen, C. T. (2000), "From dynamics on surfaces to rational points on curves",
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University of California, Berkeley College of Letters and Science faculty
1470: 1426: 1164: 347: 219: 153: 120: 799: 659: 613: 1181: 1142: 921: 537: 489: 445: 405: 326:(1990–1997), before joining Harvard in 1997. McMullen was chair of the 30: 773: 529: 397: 1529: 1044: 725: 883:
Borcherds, Gowers, Kontsevich, and McMullen Receive Fields Medals
382:"Families of rational maps and iterative root-finding algorithms" 776:"Cubic curves and totally geodesic subvarieties of moduli space" 238: 185:
Families of Rational Maps and Iterative Root-Finding Algorithms
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Renormalization and 3-manifolds which fiber over the circle
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Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II
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Renormalization and 3-Manifolds which Fiber over the Circle
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McMullen, C. T. (1990), "Iteration on TeichmĂĽller space",
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Members of the United States National Academy of Sciences
295: 86: 422:"Amenability, Poincaré series and quasiconformal maps" 1613:
Harvard University Department of Mathematics faculty
896:"The Mathematical Work of the 1998 Fields Medalists" 938: 919: 922:"Rigidity and inflexibility in conformal dynamics" 1013: 1584: 956: 681: 635: 589: 551: 511: 467: 419: 379: 1628:Institute for Advanced Study visiting scholars 1060: 1658:Fellows of the American Mathematical Society 952: 950: 728:"Geodesic planes in hyperbolic 3-manifolds" 1067: 1053: 306:. He held post-doctoral positions at the 29: 988: 947: 649: 603: 565: 848: 828: 356:International Congress of Mathematicians 330:from 2017 to 2020. His doctoral student 312:Mathematical Sciences Research Institute 1025:MacTutor History of Mathematics Archive 318:, after which he was on the faculty at 1585: 1048: 774:McMullen, C. T.; et al. (2017), 726:McMullen, C. T.; et al. (2017), 373: 308:Massachusetts Institute of Technology 1598:21st-century American mathematicians 1593:20th-century American mathematicians 1074: 964:Complex dynamics and renormalization 943:. Tokyo: Springer. pp. 889–900. 832:Complex Dynamics and Renormalization 341: 13: 324:University of California, Berkeley 172:University of California, Berkeley 14: 1684: 1001: 1566: 1557: 1556: 334:was the first woman to win the 1673:Mathematicians from California 932: 913: 887: 876: 849:——— (1996), 829:——— (1994), 328:Harvard Mathematics Department 1: 1040:Mathematics Genealogy Project 990:10.1090/s0273-0979-99-00770-3 977:Bull. Amer. Math. Soc. (N.S.) 869: 651:10.1090/S0894-0347-05-00483-2 605:10.1090/S0894-0347-03-00432-6 567:10.1090/S0273-0979-99-00856-3 1623:Princeton University faculty 920:McMullen, Curtis T. (1998). 364:National Academy of Sciences 316:Institute for Advanced Study 281: 7: 1663:Dynamical systems theorists 792:10.4007/annals.2017.185.3.6 10: 1689: 366:in 2007, and received the 1633:Harvard University alumni 1552: 1082: 752:10.1007/s00222-016-0711-3 704:10.1007/S00222-015-0590-Z 233: 229: 207: 195: 177: 159: 149: 142: 111: 93: 69: 40: 28: 21: 1030:University of St Andrews 822: 512:McMullen, C. T. (1991), 420:McMullen, C. T. (1989), 380:McMullen, C. T. (1987), 362:in 2004, elected to the 266:in 1998 for his work in 1638:Williams College alumni 368:Humboldt Research Award 1668:Sloan Research Fellows 554:Bull. Amer. Math. Soc. 346:McMullen received the 286:McMullen graduated as 262:. He was awarded the 16:American mathematician 360:Guggenheim Fellowship 256:Curtis Tracy McMullen 131:Guggenheim Fellowship 45:Curtis Tracy McMullen 1608:American topologists 1020:"Curtis T. McMullen" 1016:Robertson, Edmund F. 350:in 1991 and won the 322:(1987–1990) and the 320:Princeton University 168:Princeton University 62:Berkeley, California 1014:O'Connor, John J.; 928:. pp. 841–855. 744:2017InMat.209..425M 696:2016InMat.203..179M 638:J. Amer. Math. Soc. 592:J. Amer. Math. Soc. 482:1990InMat..99..425M 438:1989InMat..97...95M 272:hyperbolic geometry 102:hyperbolic geometry 1572:Mathematics portal 1036:Curtis T. McMullen 903:Notices of the AMS 490:10.1007/BF01234427 446:10.1007/BF01850656 374:Major publications 300:Harvard University 276:TeichmĂĽller theory 260:Harvard University 164:Harvard University 106:TeichmĂĽller theory 83:Harvard University 23:Curtis T. McMullen 1580: 1579: 1008:Curtis T McMullen 514:"Cusps are dense" 342:Honors and awards 332:Maryam Mirzakhani 294:and obtained his 253: 252: 224:Maryam Mirzakhani 208:Doctoral students 144:Scientific career 1680: 1603:Fields Medalists 1570: 1560: 1559: 1076:Fields Medalists 1069: 1062: 1055: 1046: 1045: 1032: 995: 994: 992: 974: 958:Lyubich, Mikhail 954: 945: 944: 936: 930: 929: 917: 911: 910: 900: 891: 885: 880: 865: 845: 818: 770: 722: 678: 653: 632: 607: 586: 569: 548: 508: 464: 416: 302:, supervised by 292:Williams College 268:complex dynamics 249: 246: 244: 242: 240: 197:Doctoral advisor 191: 116:Sloan Fellowship 98:Complex dynamics 74:Williams College 58: 54: 52: 35:McMullen in 1994 33: 19: 18: 1688: 1687: 1683: 1682: 1681: 1679: 1678: 1677: 1583: 1582: 1581: 1576: 1548: 1547: 1544: 1517: 1490: 1463: 1436: 1409: 1392: 1365: 1338: 1311: 1289: 1267: 1240: 1223: 1196: 1169: 1152: 1135: 1118: 1101: 1078: 1073: 1004: 999: 998: 972: 955: 948: 937: 933: 918: 914: 898: 892: 888: 881: 877: 872: 863: 843: 825: 780:Annals of Math. 530:10.2307/2944328 518:Annals of Math. 398:10.2307/1971408 386:Annals of Math. 376: 354:in 1998 at the 344: 304:Dennis Sullivan 284: 237: 222: 218: 214: 202:Dennis Sullivan 189: 170: 166: 134: 129: 124: 119: 81: 70:Alma mater 65: 59: 56: 50: 48: 47: 46: 36: 24: 17: 12: 11: 5: 1686: 1676: 1675: 1670: 1665: 1660: 1655: 1650: 1645: 1640: 1635: 1630: 1625: 1620: 1615: 1610: 1605: 1600: 1595: 1578: 1577: 1575: 1574: 1564: 1553: 1550: 1549: 1546: 1545: 1543: 1542: 1537: 1532: 1527: 1520: 1518: 1516: 1515: 1510: 1505: 1500: 1493: 1491: 1489: 1488: 1483: 1478: 1473: 1466: 1464: 1462: 1461: 1456: 1451: 1446: 1439: 1437: 1435: 1434: 1429: 1424: 1419: 1412: 1410: 1408: 1407: 1402: 1395: 1393: 1391: 1390: 1385: 1380: 1375: 1368: 1366: 1364: 1363: 1358: 1353: 1348: 1341: 1339: 1337: 1336: 1331: 1326: 1321: 1314: 1312: 1310: 1309: 1304: 1299: 1292: 1290: 1288: 1287: 1282: 1277: 1270: 1268: 1266: 1265: 1260: 1255: 1250: 1243: 1241: 1239: 1238: 1233: 1226: 1224: 1222: 1221: 1216: 1211: 1206: 1199: 1197: 1195: 1194: 1189: 1184: 1179: 1172: 1170: 1168: 1167: 1162: 1155: 1153: 1151: 1150: 1145: 1138: 1136: 1134: 1133: 1128: 1121: 1119: 1117: 1116: 1111: 1104: 1102: 1100: 1099: 1094: 1087: 1084: 1083: 1080: 1079: 1072: 1071: 1064: 1057: 1049: 1043: 1042: 1033: 1011: 1003: 1002:External links 1000: 997: 996: 983:(1): 103–107. 946: 931: 912: 886: 874: 873: 871: 868: 867: 866: 861: 846: 841: 824: 821: 820: 819: 786:(3): 957–990, 771: 738:(2): 425–461, 723: 690:(1): 179–215, 679: 644:(3): 711–734, 633: 598:(4): 857–885, 587: 560:(2): 119–140, 549: 524:(1): 217–247, 509: 465: 417: 392:(3): 467–493, 375: 372: 343: 340: 298:in 1985 from 283: 280: 251: 250: 235: 231: 230: 227: 226: 209: 205: 204: 199: 193: 192: 181: 175: 174: 161: 157: 156: 151: 147: 146: 140: 139: 136:Humboldt Prize 113: 109: 108: 95: 94:Known for 91: 90: 71: 67: 66: 60: 44: 42: 38: 37: 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 1685: 1674: 1671: 1669: 1666: 1664: 1661: 1659: 1656: 1654: 1651: 1649: 1648:Living people 1646: 1644: 1641: 1639: 1636: 1634: 1631: 1629: 1626: 1624: 1621: 1619: 1616: 1614: 1611: 1609: 1606: 1604: 1601: 1599: 1596: 1594: 1591: 1590: 1588: 1573: 1569: 1565: 1563: 1555: 1554: 1551: 1541: 1538: 1536: 1533: 1531: 1528: 1526: 1525:Duminil-Copin 1522: 1521: 1519: 1514: 1511: 1509: 1506: 1504: 1501: 1499: 1495: 1494: 1492: 1487: 1484: 1482: 1479: 1477: 1474: 1472: 1468: 1467: 1465: 1460: 1457: 1455: 1452: 1450: 1447: 1445: 1444:Lindenstrauss 1441: 1440: 1438: 1433: 1430: 1428: 1425: 1423: 1420: 1418: 1414: 1413: 1411: 1406: 1403: 1401: 1397: 1396: 1394: 1389: 1386: 1384: 1381: 1379: 1376: 1374: 1370: 1369: 1367: 1362: 1359: 1357: 1354: 1352: 1349: 1347: 1343: 1342: 1340: 1335: 1332: 1330: 1327: 1325: 1322: 1320: 1316: 1315: 1313: 1308: 1305: 1303: 1300: 1298: 1294: 1293: 1291: 1286: 1283: 1281: 1278: 1276: 1272: 1271: 1269: 1264: 1261: 1259: 1256: 1254: 1251: 1249: 1245: 1244: 1242: 1237: 1234: 1232: 1228: 1227: 1225: 1220: 1217: 1215: 1212: 1210: 1207: 1205: 1201: 1200: 1198: 1193: 1190: 1188: 1185: 1183: 1180: 1178: 1174: 1173: 1171: 1166: 1163: 1161: 1157: 1156: 1154: 1149: 1146: 1144: 1140: 1139: 1137: 1132: 1129: 1127: 1123: 1122: 1120: 1115: 1112: 1110: 1106: 1105: 1103: 1098: 1095: 1093: 1089: 1088: 1086: 1085: 1081: 1077: 1070: 1065: 1063: 1058: 1056: 1051: 1050: 1047: 1041: 1037: 1034: 1031: 1027: 1026: 1021: 1017: 1012: 1009: 1006: 1005: 991: 986: 982: 978: 971: 969: 965: 959: 953: 951: 942: 935: 927: 923: 916: 908: 904: 897: 890: 884: 879: 875: 864: 862:0-691-01153-2 858: 854: 853: 847: 844: 842:0-691-02982-2 838: 834: 833: 827: 826: 817: 813: 809: 805: 801: 797: 793: 789: 785: 781: 777: 772: 769: 765: 761: 757: 753: 749: 745: 741: 737: 733: 732:Invent. Math. 729: 724: 721: 717: 713: 709: 705: 701: 697: 693: 689: 685: 684:Invent. Math. 680: 677: 673: 669: 665: 661: 657: 652: 647: 643: 639: 634: 631: 627: 623: 619: 615: 611: 606: 601: 597: 593: 588: 585: 581: 577: 573: 568: 563: 559: 555: 550: 547: 543: 539: 535: 531: 527: 523: 519: 515: 510: 507: 503: 499: 495: 491: 487: 483: 479: 475: 471: 470:Invent. Math. 466: 463: 459: 455: 451: 447: 443: 439: 435: 431: 427: 426:Invent. Math. 423: 418: 415: 411: 407: 403: 399: 395: 391: 387: 383: 378: 377: 371: 369: 365: 361: 357: 353: 349: 339: 337: 333: 329: 325: 321: 317: 313: 309: 305: 301: 297: 293: 290:in 1980 from 289: 288:valedictorian 279: 277: 273: 269: 265: 261: 257: 248: 236: 232: 228: 225: 221: 217: 216:Laura DeMarco 213: 212:Jeffrey Brock 210: 206: 203: 200: 198: 194: 187: 186: 182: 180: 176: 173: 169: 165: 162: 158: 155: 152: 148: 145: 141: 137: 132: 127: 122: 117: 114: 110: 107: 103: 99: 96: 92: 88: 84: 79: 75: 72: 68: 63: 57:(age 66) 43: 39: 32: 27: 20: 1387: 1187:Grothendieck 1023: 980: 976: 967: 963: 940: 934: 925: 915: 906: 902: 889: 878: 851: 831: 783: 779: 735: 731: 687: 683: 641: 637: 595: 591: 557: 553: 521: 517: 473: 469: 429: 425: 389: 385: 352:Fields Medal 345: 336:Fields Medal 285: 264:Fields Medal 255: 254: 183: 160:Institutions 143: 126:Fields Medal 55:May 21, 1958 1643:1958 births 1523:2022   1496:2018   1469:2014   1442:2010   1415:2006   1398:2002   1371:1998   1344:1994   1317:1990   1295:1986   1273:1982   1246:1978   1229:1974   1202:1970   1175:1966   1158:1962   1141:1958   1124:1954   1107:1950   1090:1936   1010:at Harvard. 962:"Review of 909:(1): 17–26. 476:: 207–216, 348:Salem Prize 220:Jeremy Kahn 154:Mathematics 121:Salem Prize 1587:Categories 1486:Mirzakhani 1383:Kontsevich 870:References 720:1364.37103 432:: 95–127, 314:, and the 51:1958-05-21 1540:Viazovska 1513:Venkatesh 1405:Voevodsky 1400:Lafforgue 1373:Borcherds 1297:Donaldson 1253:Fefferman 1160:Hörmander 768:253747261 712:253742362 506:122626150 370:in 2011. 282:Biography 1562:Category 1476:Bhargava 1422:Perelman 1417:Okounkov 1388:McMullen 1361:Zelmanov 1346:Bourgain 1319:Drinfeld 1307:Freedman 1302:Faltings 1280:Thurston 1258:Margulis 1231:Bombieri 1219:Thompson 1209:Hironaka 1109:Schwartz 960:(1999). 800:26395746 676:11777513 660:20161252 614:30041457 584:12036264 462:15729353 241:.harvard 1535:Maynard 1508:Scholze 1503:Figalli 1459:Villani 1454:Smirnov 1263:Quillen 1248:Deligne 1236:Mumford 1214:Novikov 1126:Kodaira 1114:Selberg 1097:Douglas 1092:Ahlfors 1038:at the 816:1658293 808:3664815 760:3674219 740:Bibcode 692:Bibcode 668:2138142 630:7678249 622:1992827 576:1713286 546:1087348 538:2944328 498:1031909 478:Bibcode 454:0999314 434:Bibcode 414:0890160 406:1971408 234:Website 133:(2004) 118:(1988) 1498:Birkar 1481:Hairer 1432:Werner 1378:Gowers 1356:Yoccoz 1334:Witten 1275:Connes 1177:Atiyah 1165:Milnor 859:  839:  814:  806:  798:  766:  758:  718:  710:  674:  666:  658:  628:  620:  612:  582:  574:  544:  536:  504:  496:  460:  452:  412:  404:  310:, the 190:(1985) 188:  179:Thesis 150:Fields 138:(2011) 128:(1998) 123:(1991) 112:Awards 64:, U.S. 1471:Avila 1351:Lions 1324:Jones 1204:Baker 1192:Smale 1182:Cohen 1131:Serre 973:(PDF) 899:(PDF) 823:Books 812:S2CID 796:JSTOR 764:S2CID 708:S2CID 672:S2CID 656:JSTOR 626:S2CID 610:JSTOR 580:S2CID 534:JSTOR 502:S2CID 458:S2CID 402:JSTOR 245:/~ctm 1329:Mori 1148:Thom 1143:Roth 966:and 857:ISBN 837:ISBN 274:and 243:.edu 239:math 41:Born 1530:Huh 1449:NgĂ´ 1427:Tao 1285:Yau 985:doi 788:doi 784:185 748:doi 736:209 716:Zbl 700:doi 688:203 646:doi 600:doi 562:doi 526:doi 522:133 486:doi 442:doi 394:doi 390:125 296:PhD 87:PhD 1589:: 1028:, 1022:, 1018:, 981:36 979:. 975:. 949:^ 924:. 907:46 905:. 901:. 810:, 804:MR 802:, 794:, 782:, 778:, 762:, 756:MR 754:, 746:, 734:, 730:, 714:, 706:, 698:, 686:, 670:, 664:MR 662:, 654:, 642:18 640:, 624:, 618:MR 616:, 608:, 596:16 594:, 578:, 572:MR 570:, 558:37 556:, 542:MR 540:, 532:, 520:, 516:, 500:, 494:MR 492:, 484:, 474:99 472:, 456:, 450:MR 448:, 440:, 430:97 428:, 424:, 410:MR 408:, 400:, 388:, 384:, 338:. 278:. 270:, 104:, 100:, 78:BA 53:) 1068:e 1061:t 1054:v 993:. 987:: 970:" 790:: 750:: 742:: 702:: 694:: 648:: 602:: 564:: 528:: 488:: 480:: 444:: 436:: 396:: 247:/ 89:) 85:( 80:) 76:( 49:(

Index


Berkeley, California
Williams College
BA
Harvard University
PhD
Complex dynamics
hyperbolic geometry
TeichmĂĽller theory
Sloan Fellowship
Salem Prize
Fields Medal
Guggenheim Fellowship
Humboldt Prize
Mathematics
Harvard University
Princeton University
University of California, Berkeley
Thesis
Families of Rational Maps and Iterative Root-Finding Algorithms
Doctoral advisor
Dennis Sullivan
Jeffrey Brock
Laura DeMarco
Jeremy Kahn
Maryam Mirzakhani
math.harvard.edu/~ctm/
Harvard University
Fields Medal
complex dynamics

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