Knowledge (XXG)

Larry Guth

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Prize in Mathematics for mid-career mathematicians. The citation states that his award is "for developing surprising, original, and deep connections between geometry, analysis, topology, and combinatorics, which have led to the solution of, or major advances on, many outstanding problems in these
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Guth is receiving the $ 20,000 prize 'for developing surprising, original, and deep connections between geometry, analysis, topology, and combinatorics, which have led to the solution of, or major advances on, many outstanding problems in these fields.' The Mirzakhani prize honors exceptional
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In 2020, Larry received the BĂ´cher Memorial Prize of the AMS, for his "deep and influential development of algebraic and topological methods for partitioning the Euclidean space and multi-scale organization of data, and his powerful applications of these tools in harmonic analysis, incidence
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Lawrence Guth of the Massachusetts Institute of Technology has been awarded the 2013 Salem Prize for his "major contributions to geometry and combinatorics. His brilliant insights led to the solution of old problems and the introduction of powerful new techniques," according to the prize
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geometry, analytic number theory, and partial differential equations." Larry wrote about this technique in his book "Polynomial Methods in Combinatorics." He also received the newly named Maryam Mirzakhani Prize in Mathematics (formerly the NAS Award in Mathematics)
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Newly elected members and their affiliations at the time of election are: ... Guth, Larry; Claude Shannon Professor, department of mathematics, Massachusetts Institute of Technology, Cambridge
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Guth moved to MIT as a graduate student, where he began studying geometry under the supervision of mathematics professor Tomasz Mrwoka.
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He was a postdoc at Stanford and an Assistant Professor at the University of Toronto. He received a Sloan fellowship in 2010.
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After MIT, Guth went to Stanford as a postdoc, and later to the University of Toronto as an Assistant Professor.
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Guth, Larry (2010), "The endpoint case of the Bennett–Carbery–Tao multilinear Kakeya conjecture",
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Guth, Larry (2009), "Minimax problems related to cup powers and Steenrod squares",
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Guth won an Alfred P. Sloan Fellowship in 2010. He was an invited speaker at the
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In 2012, Guth moved to MIT, where he is Claude Shannon Professor of Mathematics.
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contributions to the mathematical sciences by a mid-career mathematician
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Guth, Larry (2010), "Systolic inequalities and minimal hypersurfaces",
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Guth, Larry (2011), "Volumes of balls in large Riemannian manifolds",
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Massachusetts Institute of Technology School of Science alumni
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announced that Guth is the first winner of their new $ 20,000
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hired Guth as a professor, listing his areas of interest as "
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Guth, Larry (2008), "Symplectic embeddings of polydisks",
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Guth graduated from Yale in 2000, with BS in mathematics.
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Members of the United States National Academy of Sciences
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fields." He was one of three recipients of the 2020
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He was included in the 2019 class of fellows of the
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Gromov's systolic inequality for essential manifolds
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https://math.mit.edu/directory/profile.php?pid=1461
737:Guth, Larry (2007), "The width-volume inequality", 205: 189: 171: 140: 132: 84: 71: 50: 42: 30: 23: 1385:Courant Institute of Mathematical Sciences faculty 250:; born 1977) is a professor of mathematics at the 265:In 2005, he got his PhD in mathematics from the 1033:"Distinct Distance Problem in the Plane" Solved 1015:Guth's approach to Gromov's systolic inequality 1326:Bulletin of the American Mathematical Society 1237:"2020 Maryam Mirzakhani Prize in Mathematics" 8: 1400:Fellows of the American Mathematical Society 1289:"News from the National Academy of Sciences" 1270:Notices of the American Mathematical Society 1375:Academic staff of the University of Toronto 387:. In 2021, he was elected member of the US 285:Courant Institute of Mathematical Sciences 20: 1337: 956: 954: 875:MIT Math Department profile of Larry Guth 805: 752: 695: 646: 597: 548: 499: 446: 927: 925: 336:International Congress of Mathematicians 179:Area-contracting maps between rectangles 901:B.S. Mathematics, Yale University, 2000 865: 338:in India in 2010, where he spoke about 310:In his research, Guth has strengthened 267:Massachusetts Institute of Technology 252:Massachusetts Institute of Technology 7: 1410:21st-century American mathematicians 1365:20th-century American mathematicians 1205:@theNASciences (February 20, 2020). 1181:2019 Class of the Fellows of the AMS 1320:Polynomial methods in combinatorics 1145:. Simons Foundation. Archived from 1038:Mathematical Association of America 841:Polynomial Methods in Combinatorics 992:. MIT Mathematics Department. 2020 891:. MIT Mathematics Department. 2020 14: 844:. American Mathematical Society. 740:Geometric and Functional Analysis 634:Geometric and Functional Analysis 536:Geometric and Functional Analysis 104:New Horizons in Mathematics Prize 320:Erdős distinct distances problem 232: 1110:"Guth Awarded 2013 Salem Prize" 1090:ICM listing of invited speakers 1143:"Simons Investigator Awardees" 932:Knight, Helen (May 27, 2014). 1: 1186:American Mathematical Society 917:Mathematics Genealogy Project 886:"Curriculum Vitae Larry Guth" 369:American Mathematical Society 347:American Mathematical Society 326:and the systolic inequality. 1263:"2020 BĂ´cher Memorial Prize" 389:National Academy of Sciences 376:National Academy of Sciences 322:. His interests include the 816:10.4007/annals.2015.181.1.2 457:10.4007/annals.2011.173.1.2 360:. In 2015, he received the 38:1977 (age 46–47) 1431: 374:On February 20, 2020, the 318:, found a solution to the 1276:(4): 546–549. April 2020. 1099:, retrieved May 26, 2011. 962:"New Faculty: Larry Guth" 763:10.1007/s00039-007-0628-5 714:10.1007/s00222-007-0103-9 657:10.1007/s00039-009-0710-2 608:10.1007/s11511-010-0055-6 559:10.1007/s00039-010-0052-0 510:10.1016/j.aim.2010.05.015 358:Simons Investigator Award 201: 125: 1239:. NAS. February 20, 2020 1168:Clay Research Award 2015 683:Inventiones Mathematicae 407:known for the theory of 349:awarded Guth its annual 934:"Like father, like son" 487:Advances in Mathematics 297:geometric combinatorics 116:Maryam Mirzakhani Prize 1095:July 17, 2011, at the 356:In 2014 he received a 16:American mathematician 793:Annals of Mathematics 434:Annals of Mathematics 405:theoretical physicist 385:BĂ´cher Memorial Prize 153:University of Toronto 110:BĂ´cher Memorial Prize 1078:Fall newsletter 2010 1036:, Math In The News, 838:Guth, Larry (2016). 258:Education and career 1405:Yale College alumni 1395:Simons Investigator 706:2008InMat.172..477G 362:Clay Research Award 281:New York University 228:Lawrence David Guth 158:New York University 98:Clay Research Award 35:Lawrence David Guth 1380:American geometers 1117:Notices of the AMS 1339:10.1090/bull/1586 1149:on August 6, 2017 1019:Shmuel Weinberger 851:978-1-4704-2890-7 422:systolic geometry 399:He is the son of 380:Maryam Mirzakhani 340:systolic geometry 324:Kakeya conjecture 293:harmonic analysis 225: 224: 127:Scientific career 1422: 1344: 1343: 1341: 1310: 1304: 1303: 1298: 1296: 1291:. 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Archived from 1049: 1043: 1041: 1028: 1022: 1021:, July 18, 2009. 1012: 1006: 1005: 999: 997: 986: 980: 979: 974: 972: 966: 958: 949: 948: 943: 941: 929: 920: 910: 904: 903: 898: 896: 890: 882: 876: 870: 855: 834: 809: 781: 756: 747:(4): 1139–1179, 732: 699: 675: 650: 641:(6): 1917–1987, 626: 601: 585:Acta Mathematica 577: 552: 543:(6): 1688–1692, 528: 503: 494:(5): 2828–2839, 475: 450: 314:and, along with 249: 248: 245: 244: 241: 238: 221: 218: 216: 214: 212: 191:Doctoral advisor 185: 80: 21: 1430: 1429: 1425: 1424: 1423: 1421: 1420: 1419: 1350: 1349: 1348: 1347: 1316:(August 2017). 1312: 1311: 1307: 1294: 1292: 1287: 1286: 1282: 1265: 1261: 1260: 1256: 1242: 1240: 1235: 1234: 1230: 1216: 1214: 1204: 1203: 1199: 1190: 1188: 1178: 1177: 1173: 1166: 1162: 1152: 1150: 1141: 1140: 1136: 1122: 1120: 1112: 1108: 1107: 1103: 1097:Wayback Machine 1088: 1084: 1076: 1072: 1062: 1060: 1051: 1050: 1046: 1040:, March 2, 2011 1030: 1029: 1025: 1013: 1009: 995: 993: 988: 987: 983: 970: 968: 964: 960: 959: 952: 939: 937: 931: 930: 923: 911: 907: 894: 892: 888: 884: 883: 879: 871: 867: 862: 852: 837: 788:Katz, Nets Hawk 785: 736: 679: 630: 581: 532: 482:Katz, Nets Hawk 479: 448:math.DG/0610212 430: 417: 397: 332: 308: 289:metric geometry 260: 235: 231: 209: 183: 167: 121: 78: 67: 58:Yale University 51:Alma mater 37: 36: 26: 17: 12: 11: 5: 1428: 1426: 1418: 1417: 1412: 1407: 1402: 1397: 1392: 1387: 1382: 1377: 1372: 1367: 1362: 1352: 1351: 1346: 1345: 1332:(1): 103–107. 1318:"Book Review: 1305: 1280: 1254: 1228: 1197: 1171: 1160: 1134: 1101: 1082: 1070: 1044: 1023: 1007: 981: 950: 921: 905: 877: 864: 863: 861: 858: 857: 856: 850: 835: 800:(1): 155–190, 783: 734: 690:(3): 477–489, 677: 628: 592:(2): 263–286, 579: 530: 477: 428: 416: 413: 411:in cosmology. 396: 393: 331: 328: 307: 304: 259: 256: 223: 222: 207: 203: 202: 199: 198: 193: 187: 186: 175: 169: 168: 166: 165: 160: 155: 150: 144: 142: 138: 137: 134: 130: 129: 123: 122: 120: 119: 113: 107: 101: 95: 88: 86: 82: 81: 73: 69: 68: 66: 65: 60: 54: 52: 48: 47: 44: 40: 39: 34: 32: 28: 27: 24: 15: 13: 10: 9: 6: 4: 3: 2: 1427: 1416: 1413: 1411: 1408: 1406: 1403: 1401: 1398: 1396: 1393: 1391: 1388: 1386: 1383: 1381: 1378: 1376: 1373: 1371: 1368: 1366: 1363: 1361: 1360:Living people 1358: 1357: 1355: 1340: 1335: 1331: 1327: 1323: 1321: 1315: 1309: 1306: 1302: 1290: 1284: 1281: 1275: 1271: 1264: 1258: 1255: 1251: 1238: 1232: 1229: 1224: 1212: 1208: 1201: 1198: 1187: 1183: 1182: 1175: 1172: 1169: 1164: 1161: 1153:September 11, 1148: 1144: 1138: 1135: 1131: 1118: 1111: 1105: 1102: 1098: 1094: 1091: 1086: 1083: 1079: 1074: 1071: 1058: 1054: 1048: 1045: 1039: 1035: 1034: 1027: 1024: 1020: 1016: 1011: 1008: 1004: 991: 985: 982: 978: 963: 957: 955: 951: 947: 935: 928: 926: 922: 918: 914: 913:Lawrence Guth 909: 906: 902: 887: 881: 878: 874: 869: 866: 859: 853: 847: 843: 842: 836: 833: 829: 825: 821: 817: 813: 808: 803: 799: 795: 794: 789: 786:Guth, Larry; 784: 780: 776: 772: 768: 764: 760: 755: 750: 746: 742: 741: 735: 731: 727: 723: 719: 715: 711: 707: 703: 698: 693: 689: 685: 684: 678: 674: 670: 666: 662: 658: 654: 649: 644: 640: 636: 635: 629: 625: 621: 617: 613: 609: 605: 600: 595: 591: 587: 586: 580: 576: 572: 568: 564: 560: 556: 551: 546: 542: 538: 537: 531: 527: 523: 519: 515: 511: 507: 502: 497: 493: 489: 488: 483: 480:Guth, Larry; 478: 474: 470: 466: 462: 458: 454: 449: 444: 440: 436: 435: 429: 427: 423: 420:Metaphors in 419: 418: 414: 412: 410: 406: 402: 394: 392: 390: 386: 381: 377: 372: 370: 365: 363: 359: 354: 352: 348: 345:In 2013, the 343: 341: 337: 329: 327: 325: 321: 317: 313: 305: 303: 300: 298: 294: 290: 286: 282: 277: 274: 272: 271:Tomasz Mrowka 268: 263: 257: 255: 253: 247: 229: 220: 208: 204: 200: 197: 196:Tomasz Mrowka 194: 192: 188: 181: 180: 176: 174: 170: 164: 161: 159: 156: 154: 151: 149: 146: 145: 143: 139: 135: 131: 128: 124: 117: 114: 111: 108: 105: 102: 99: 96: 93: 90: 89: 87: 83: 77: 74: 70: 64: 61: 59: 56: 55: 53: 49: 45: 41: 33: 29: 22: 19: 1329: 1325: 1319: 1314:Tao, Terence 1308: 1300: 1293:. Retrieved 1283: 1273: 1269: 1257: 1248: 1243:February 20, 1241:. Retrieved 1231: 1221:– via 1217:February 20, 1215:. Retrieved 1200: 1189:, retrieved 1180: 1174: 1163: 1151:. Retrieved 1147:the original 1137: 1128: 1123:February 20, 1121:. Retrieved 1116: 1104: 1085: 1073: 1061:. Retrieved 1057:the original 1047: 1032: 1026: 1010: 1001: 996:February 20, 994:. Retrieved 990:"Larry Guth" 984: 976: 971:February 20, 969:. Retrieved 945: 940:February 20, 938:. Retrieved 908: 900: 895:February 20, 893:. Retrieved 880: 868: 840: 797: 791: 754:math/0609569 744: 738: 687: 681: 648:math/0702066 638: 632: 589: 583: 540: 534: 491: 485: 441:(1): 51–76, 438: 437:, 2nd ser., 432: 398: 373: 366: 355: 344: 333: 309: 301: 278: 275: 264: 261: 227: 226: 177: 141:Institutions 126: 18: 1390:1977 births 1191:November 7, 1063:October 23, 351:Salem Prize 330:Recognition 136:Mathematics 92:Salem Prize 43:Nationality 1354:Categories 936:. MIT News 860:References 25:Larry Guth 1130:citation. 807:1011.4105 697:0709.1957 599:0811.2251 550:0903.5299 501:0812.1043 426:the video 409:inflation 401:Alan Guth 316:Nets Katz 279:In 2011, 76:Alan Guth 1093:Archived 832:43051852 779:16014518 730:18065526 673:10402235 624:16258342 575:17827200 526:15590454 395:Personal 306:Research 148:Stanford 79:(father) 46:American 1295:July 2, 1223:Twitter 915:at the 824:3272924 771:2373013 722:2393077 702:Bibcode 665:2491695 616:2746348 567:2594618 518:2680185 473:1392012 465:2753599 217:/~lguth 206:Website 1119:. 2014 848:  830:  822:  777:  769:  728:  720:  671:  663:  622:  614:  573:  565:  524:  516:  471:  463:  295:, and 184:(2005) 182:  173:Thesis 133:Fields 118:(2020) 112:(2020) 106:(2016) 100:(2015) 94:(2013) 85:Awards 72:Parent 1266:(PDF) 1211:Tweet 1113:(PDF) 965:(PDF) 889:(PDF) 828:S2CID 802:arXiv 775:S2CID 749:arXiv 726:S2CID 692:arXiv 669:S2CID 643:arXiv 620:S2CID 594:arXiv 571:S2CID 545:arXiv 522:S2CID 496:arXiv 469:S2CID 443:arXiv 1297:2021 1245:2020 1219:2020 1193:2018 1155:2017 1125:2020 1065:2011 998:2020 973:2020 942:2020 897:2020 846:ISBN 415:Work 403:, a 215:.edu 213:.mit 211:math 31:Born 1334:doi 812:doi 798:181 759:doi 710:doi 688:172 653:doi 604:doi 590:205 555:doi 506:doi 492:225 453:doi 439:173 299:." 283:'s 163:MIT 63:MIT 1356:: 1330:55 1328:. 1324:. 1299:. 1274:67 1272:. 1268:. 1247:. 1184:, 1127:. 1115:. 1017:, 1000:. 975:. 953:^ 944:. 924:^ 899:. 826:, 820:MR 818:, 810:, 796:, 773:, 767:MR 765:, 757:, 745:17 743:, 724:, 718:MR 716:, 708:, 700:, 686:, 667:, 661:MR 659:, 651:, 639:18 637:, 618:, 612:MR 610:, 602:, 588:, 569:, 563:MR 561:, 553:, 541:19 539:, 520:, 514:MR 512:, 504:, 490:, 467:, 461:MR 459:, 451:, 424:: 391:. 364:. 342:. 291:, 273:. 254:. 240:uː 1342:. 1336:: 1322:" 1278:. 1225:. 1213:) 1209:( 1157:. 1067:. 1042:. 919:. 854:. 814:: 804:: 782:. 761:: 751:: 733:. 712:: 704:: 694:: 676:. 655:: 645:: 627:. 606:: 596:: 578:. 557:: 547:: 529:. 508:: 498:: 476:. 455:: 445:: 246:/ 243:θ 237:ÉĄ 234:/ 230:( 219:/

Index

Yale University
MIT
Alan Guth
Salem Prize
Clay Research Award
New Horizons in Mathematics Prize
BĂ´cher Memorial Prize
Maryam Mirzakhani Prize
Stanford
University of Toronto
New York University
MIT
Thesis
Area-contracting maps between rectangles
Doctoral advisor
Tomasz Mrowka
math.mit.edu/~lguth/
/ɥuːθ/
Massachusetts Institute of Technology
Massachusetts Institute of Technology
Tomasz Mrowka
New York University
Courant Institute of Mathematical Sciences
metric geometry
harmonic analysis
geometric combinatorics
Gromov's systolic inequality for essential manifolds
Nets Katz
Erdős distinct distances problem
Kakeya conjecture

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