Knowledge

Frederick J. Almgren Jr.

Source 📝

886: 1142: 453:
Almgren's big regularity paper. Q-valued functions minimizing Dirichlet's integral and the regularity of area-minimizing rectifiable currents up to codimension 2
343: 955: 447: 738: 792: 1137: 847: 801: 1157: 1012: 1097: 1147: 513: 465: 416: 673: 1152: 645: 755: 998: 17: 1069: 195: 102: 1008:
Trudy Mezhdunarodnogo kongressa matematikov. Proceedings of International Congress of Mathematicians (Moscow−1966)
1112: 593:): the former one is the first exposition of his ideas, but the book (in both its first and second editions ( 505: 408: 734: 694: 372:, Mathematics Monographs Series (1st ed.), New York–Amsterdam: W. A. Benjamin, Inc., pp. XII+74, 352: 239: 180: 1040: 1074: 838: 611: 205: 1064: 246: 389:. The first widely circulated book describing the concept of a varifold and its applications to the 1102: 295: 228: 140: 1092: 946: 262: 306:, is an applied mathematician who works on computational simulations in astrophysics. His son, 278: 750: 348: 235: 122: 72: 653:, Princeton, New Jersey: The Institute for Advanced Study, pp. xxii+565, archived from 563:, p. 48): the latter reference lists his appointments at the Institute only up to 1978. 1132: 1127: 1028: 978: 915: 868: 822: 776: 523: 475: 426: 390: 377: 274: 270: 150: 94: 1036: 986: 931: 876: 830: 784: 531: 483: 434: 385: 8: 1088: 746: 283: 53: 919: 678: 328: 245:
Almgren wrote one of the longest papers in mathematics, proving what is now called the
923: 903: 856: 810: 509: 461: 412: 950: 310:, is an applied mathematician working on market microstructure and trade execution. 1032: 982: 964: 927: 895: 872: 826: 780: 768: 764: 527: 479: 457: 430: 381: 157: 84: 1024: 994: 974: 911: 864: 818: 772: 698: 519: 495: 471: 456:, World Scientific Monograph Series in Mathematics, vol. 1, River Edge, NJ: 451: 422: 402: 373: 291: 185: 162: 842: 796: 1020: 1002: 797:"Fred Almgren (1933–1997): lover of mathematics, family, and life's adventures" 654: 501: 398: 307: 303: 175: 1121: 907: 860: 814: 742: 224: 1108: 726: 190: 1006: 238:
in 1974. Between 1963 and 1992 he was a frequent visiting scholar at the
730: 443: 299: 200: 112: 999:"Hypersurfaces of minimal measure in pluridimensional euclidean spaces" 969: 899: 357: 325:
The theory of varifolds: A variational calculus in the large for the
313:
Almgren died in Princeton, New Jersey on February 5, 1997, aged 63.
258: 98: 610:: in his commemorative papers describing the research of Almgren, 702: 693: 556: 281:
is missing. He played also an important role in the founding of
1016: 884:
White, Brian (1998), "The mathematics of F. J. Almgren, Jr.",
500:, Student Mathematical Library, vol. 13 (2nd ed.), 360:
notes in which Frederick J. Almgren Jr. introduces the term "
253:-dimensional mass-minimizing surface has dimension at most 298:, and was the advisor and husband (as his second wife) of 277:
in order to deal with the problem even when a concept of
725: 647:
A Community of Scholars. Faculty and Members 1930-1980
497:
Plateau's Problem: An Invitation to Varifold Geometry
370:
Plateau's Problem: An Invitation to Varifold Geometry
331: 407:, Collected Works, vol. 13, Providence, R.I.: 671: 622:, p.682, footnote 1) writes that these are " 337: 223:(July 3, 1933 – February 5, 1997) was an American 1086: 751:"In Memoriam Frederick J. Almgren Jr., 1933–1997" 672:The New York Times, Obituary (February 8, 1997), 1119: 557:Almgren's Community of Scholars web site Profile 1143:Institute for Advanced Study visiting scholars 674:"Frederick J. Almgren Jr., 63, Math Professor" 956:Bulletin de la Société Mathématique de France 848:Notices of the American Mathematical Society 802:Notices of the American Mathematical Society 404:Selected works of Frederick J. Almgren, Jr. 637: 993: 968: 791: 597:)) had and still has a wider circulation. 939: 643: 560: 316: 27:American mathematician (1933–1997) 1098:MacTutor History of Mathematics Archive 594: 590: 586: 573: 536: 490: 441: 396: 367: 322: 14: 1120: 843:"The Mathematics of F. J. Almgren Jr." 624:essentially the same class of surfaces 231:. He was born in Birmingham, Alabama. 951:"Surfaces paramétriques généralisées" 945: 883: 837: 719: 619: 615: 266: 1138:20th-century American mathematicians 606:Young calls these geometric objects 458:World Scientific Publishing Co. Inc. 737:; Sullivan, John; Almgren, Robert; 257:. He also developed the concept of 24: 535:. The second edition of the book ( 442:Almgren, Frederick J. Jr. (2000), 397:Almgren, Frederick J. Jr. (1999), 368:Almgren, Frederick J. Jr. (1966), 323:Almgren, Frederick J. Jr. (1964), 25: 1169: 1080: 887:The Journal of Geometric Analysis 695:The Institute for Advanced Study 644:Mitchell, Janet A., ed. (1980), 1158:People from Birmingham, Alabama 769:10.1080/10586458.1997.10504341 600: 579: 566: 549: 13: 1: 1113:Mathematics Genealogy Project 632: 506:American Mathematical Society 409:American Mathematical Society 1148:Princeton University faculty 1070:Almgren–Pitts min-max theory 618:, p.1452, footnote 1, 585:See his mimeographed notes ( 353:Institute for Advanced Study 240:Institute for Advanced Study 221:Frederick Justin Almgren Jr. 103:Almgren–Pitts min-max theory 7: 1153:Mathematicians from Alabama 1075:Almgren Isomorphism Theorem 1058: 699:"Almgren, Frederick J. Jr." 572:Published in book form as ( 345:-dimensional area integrand 10: 1174: 1093:"Frederick J. Almgren Jr." 1065:Almgren regularity theorem 247:Almgren regularity theorem 492:Almgren, Frederick J. Jr. 294:, one of the founders of 290:Almgren was a student of 249:: the singular set of an 214: 168: 156: 146: 136: 129: 118: 108: 90: 80: 61: 39: 32: 1109:Frederick J. Almgren Jr. 1103:University of St Andrews 756:Experimental Mathematics 543: 296:geometric measure theory 269:), and proposed them as 229:geometric measure theory 141:Geometric measure theory 34:Frederick Justin Almgren 704:A Community of Scholars 638:Biographical references 339: 940:Scientific references 364:" for the first time. 340: 317:Selected publications 271:generalized solutions 236:Guggenheim Fellowship 123:Guggenheim Fellowship 73:Princeton, New Jersey 1089:Robertson, Edmund F. 1023:, pp. 395−401, 608:generalized surfaces 508:, pp. xvi, 78, 329: 151:Princeton University 1087:O'Connor, John J.; 284:The Geometry Center 261:, first defined by 234:Almgren received a 99:theory of varifolds 54:Birmingham, Alabama 970:10.24033/bsmf.1419 900:10.1007/BF02922665 720:General references 679:The New York Times 448:Scheffer, Vladimir 335: 855:(11): 1451–1456, 515:978-0-8218-2747-5 467:978-981-02-4108-7 418:978-0-8218-1067-5 391:Plateau's problem 338:{\displaystyle k} 308:Robert F. Almgren 275:Plateau's problem 218: 217: 131:Scientific career 95:Plateau's problem 18:Frederick Almgren 16:(Redirected from 1165: 1105: 1053: 1052: 1051: 1045: 1039:, archived from 1003:Petrovsky, I. G. 995:De Giorgi, Ennio 989: 972: 934: 879: 833: 809:(9): 1102–1106, 787: 727:Lieb, Elliott H. 714: 713: 711: 689: 688: 686: 667: 666: 665: 659: 652: 627: 604: 598: 589:) and his book ( 583: 577: 570: 564: 553: 534: 486: 437: 388: 355: 344: 342: 341: 336: 302:. His daughter, 196:John M. Sullivan 169:Notable students 158:Doctoral advisor 85:Brown University 68: 65:February 5, 1997 49: 47: 30: 29: 21: 1173: 1172: 1168: 1167: 1166: 1164: 1163: 1162: 1118: 1117: 1083: 1061: 1049: 1047: 1043: 1013:ICM Proceedings 942: 793:Mackenzie, Dana 722: 709: 707: 684: 682: 663: 661: 657: 650: 640: 635: 630: 612:Brian White 605: 601: 584: 580: 571: 567: 554: 550: 546: 516: 468: 444:Taylor, Jean E. 419: 399:Taylor, Jean E. 330: 327: 326: 319: 292:Herbert Federer 210: 186:Harold R. Parks 163:Herbert Federer 81:Alma mater 76: 70: 66: 57: 51: 45: 43: 35: 28: 23: 22: 15: 12: 11: 5: 1171: 1161: 1160: 1155: 1150: 1145: 1140: 1135: 1130: 1116: 1115: 1106: 1082: 1081:External links 1079: 1078: 1077: 1072: 1067: 1060: 1057: 1056: 1055: 1021:Mir Publishers 991: 941: 938: 937: 936: 894:(5): 681–702, 881: 835: 789: 747:Epstein, David 743:Marden, Albert 739:Kusner, Robert 721: 718: 717: 716: 691: 669: 639: 636: 634: 631: 629: 628: 599: 578: 565: 547: 545: 542: 541: 540: 514: 502:Providence, RI 488: 466: 439: 417: 394: 365: 334: 318: 315: 304:Ann S. Almgren 242:in Princeton. 216: 215: 212: 211: 209: 208: 203: 198: 193: 188: 183: 178: 176:Robert V. Kohn 172: 170: 166: 165: 160: 154: 153: 148: 144: 143: 138: 134: 133: 127: 126: 120: 116: 115: 110: 106: 105: 92: 91:Known for 88: 87: 82: 78: 77: 71: 69:(aged 63) 63: 59: 58: 52: 41: 37: 36: 33: 26: 9: 6: 4: 3: 2: 1170: 1159: 1156: 1154: 1151: 1149: 1146: 1144: 1141: 1139: 1136: 1134: 1131: 1129: 1126: 1125: 1123: 1114: 1110: 1107: 1104: 1100: 1099: 1094: 1090: 1085: 1084: 1076: 1073: 1071: 1068: 1066: 1063: 1062: 1046:on 2015-07-06 1042: 1038: 1034: 1030: 1026: 1022: 1018: 1014: 1010: 1009: 1004: 1000: 996: 992: 988: 984: 980: 976: 971: 966: 962: 958: 957: 952: 948: 944: 943: 933: 929: 925: 921: 917: 913: 909: 905: 901: 897: 893: 889: 888: 882: 878: 874: 870: 866: 862: 858: 854: 850: 849: 844: 840: 836: 832: 828: 824: 820: 816: 812: 808: 804: 803: 798: 794: 790: 786: 782: 778: 774: 770: 766: 762: 758: 757: 752: 748: 744: 740: 736: 735:Morgan, Frank 732: 728: 724: 723: 706: 705: 700: 696: 692: 681: 680: 675: 670: 660:on 2017-11-07 656: 649: 648: 642: 641: 625: 621: 617: 613: 609: 603: 596: 592: 588: 582: 575: 569: 562: 561:Mitchell 1980 558: 555:According to 552: 548: 538: 533: 529: 525: 521: 517: 511: 507: 503: 499: 498: 493: 489: 485: 481: 477: 473: 469: 463: 459: 455: 454: 449: 445: 440: 436: 432: 428: 424: 420: 414: 410: 406: 405: 400: 395: 392: 387: 383: 379: 375: 371: 366: 363: 359: 354: 350: 346: 332: 321: 320: 314: 311: 309: 305: 301: 297: 293: 288: 286: 285: 280: 276: 272: 268: 264: 260: 256: 252: 248: 243: 241: 237: 232: 230: 226: 225:mathematician 222: 213: 207: 204: 202: 199: 197: 194: 192: 189: 187: 184: 182: 179: 177: 174: 173: 171: 167: 164: 161: 159: 155: 152: 149: 145: 142: 139: 135: 132: 128: 124: 121: 117: 114: 111: 107: 104: 100: 96: 93: 89: 86: 83: 79: 74: 64: 60: 55: 42: 38: 31: 19: 1096: 1048:, retrieved 1041:the original 1007: 960: 954: 947:Young, L. C. 891: 885: 852: 846: 839:White, Brian 806: 800: 760: 754: 731:Taylor, Jean 708:, retrieved 703: 683:, retrieved 677: 662:, retrieved 655:the original 646: 623: 607: 602: 595:Almgren 2001 591:Almgren 1966 587:Almgren 1964 581: 574:Almgren 2000 568: 551: 537:Almgren 1966 496: 491: 452: 403: 369: 361: 358:mimeographed 324: 312: 289: 282: 254: 250: 244: 233: 220: 219: 191:Jon T. Pitts 181:Frank Morgan 147:Institutions 130: 67:(1997-02-05) 50:July 3, 1933 1133:1997 deaths 1128:1933 births 763:(1): 1–12, 356:. A set of 300:Jean Taylor 279:orientation 263:L. C. Young 227:working in 206:Brian White 201:Jean Taylor 113:Jean Taylor 1122:Categories 1050:2015-07-04 1037:0188.17503 987:0044.10203 932:0955.01020 877:0908.01017 831:0908.01016 785:0883.01029 664:2015-07-04 633:References 532:0995.49001 484:0985.49001 435:0966.01031 386:0165.13201 267:Young 1951 46:1933-07-03 963:: 59–84, 924:122083638 908:1050-6926 861:0002-9920 815:0002-9920 494:(2001) , 349:Princeton 1059:See also 997:(1968), 949:(1951), 841:(1997), 795:(1997), 745:(1997), 697:(2012), 685:June 20, 559:and to ( 450:(eds.), 362:varifold 259:varifold 1111:at the 1029:0234329 1005:(ed.), 979:0046421 916:1731057 869:1488574 823:1470170 777:1464578 749:(ed.), 614: ( 524:1853442 476:1777737 427:1747253 401:(ed.), 378:0190856 1035:  1027:  1017:Moscow 985:  977:  930:  922:  914:  906:  875:  867:  859:  829:  821:  813:  783:  775:  710:4 July 530:  522:  512:  482:  474:  464:  433:  425:  415:  384:  376:  137:Fields 125:(1974) 119:Awards 109:Spouse 75:, U.S. 56:, U.S. 1044:(PDF) 1001:, in 920:S2CID 658:(PDF) 651:(PDF) 544:Notes 904:ISSN 857:ISSN 811:ISSN 712:2015 687:2011 620:1998 616:1997 510:ISBN 462:ISBN 413:ISBN 265:in ( 62:Died 40:Born 1033:Zbl 983:Zbl 965:doi 928:Zbl 896:doi 873:Zbl 827:Zbl 781:Zbl 765:doi 528:Zbl 480:Zbl 431:Zbl 382:Zbl 273:to 255:m−2 1124:: 1101:, 1095:, 1091:, 1031:, 1025:MR 1019:: 1015:, 1011:, 981:, 975:MR 973:, 961:79 959:, 953:, 926:, 918:, 912:MR 910:, 902:, 890:, 871:, 865:MR 863:, 853:44 851:, 845:, 825:, 819:MR 817:, 807:44 805:, 799:, 779:, 773:MR 771:, 759:, 753:, 741:; 733:; 729:; 701:, 676:, 626:". 576:). 539:). 526:, 520:MR 518:, 504:: 478:, 472:MR 470:, 460:, 446:; 429:, 423:MR 421:, 411:, 380:, 374:MR 351:: 347:, 287:. 101:, 97:, 1054:. 990:. 967:: 935:. 898:: 892:8 880:. 834:. 788:. 767:: 761:6 715:. 690:. 668:. 487:. 438:. 393:. 333:k 251:m 48:) 44:( 20:)

Index

Frederick Almgren
Birmingham, Alabama
Princeton, New Jersey
Brown University
Plateau's problem
theory of varifolds
Almgren–Pitts min-max theory
Jean Taylor
Guggenheim Fellowship
Geometric measure theory
Princeton University
Doctoral advisor
Herbert Federer
Robert V. Kohn
Frank Morgan
Harold R. Parks
Jon T. Pitts
John M. Sullivan
Jean Taylor
Brian White
mathematician
geometric measure theory
Guggenheim Fellowship
Institute for Advanced Study
Almgren regularity theorem
varifold
L. C. Young
Young 1951
generalized solutions
Plateau's problem

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.