Knowledge (XXG)

Frank Adams

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was at an early stage of development, and unsolved problems abounded. Adams made a number of important theoretical advances in
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uses the Adams operations to give an extremely elegant and much faster version of the above-mentioned
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lectures were published in a 1996 series titled "Chicago Lectures in Mathematics Series", such as
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in place of classical cohomology: it is a computational tool of great potential scope.
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Adams had many talented students, and was highly influential in the development of
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problem, which he completely solved in a 1960 paper by making a deep analysis of
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at the University of Cambridge (1970–1989). He was elected a Fellow of the
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Ray, Nigel; Walker, Grant, eds. (1992). "The work of J. F. Adams".
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is an analogue of the Adams spectral sequence using an
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Foreign associates of the National Academy of Sciences
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problem. Subsequently he used them to investigate the
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Institute for Advanced Study: A Community of Scholars
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On spectral sequences and self-obstruction invariants
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in 1956. His thesis, written under the direction of
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On Spectral Sequences and Self-Obstruction Invariants
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Biographical Memoirs of Fellows of the Royal Society
364:, he reformulated and strengthened their method of 210: 198: 180: 172: 164: 136: 118: 108: 89: 67: 41: 897:Academics of the Victoria University of Manchester 500:The main mathematics research seminar room in the 454:In 1974 Adams became the first recipient of the 415:Adams was also a pioneer in the application of 942:Institute for Advanced Study visiting scholars 600:Adams Memorial Symposium on Algebraic Topology 266:, a suburb in south-east London, and attended 937:Lowndean Professors of Astronomy and Geometry 782:The selected works of J. Frank Adams. Vol. II 557:"Frank Adams. 5 November 1930-7 January 1989" 8: 750:The selected works of J. Frank Adams. Vol. I 308:Lowndean Professor of Astronomy and Geometry 645:Bulletin of the London Mathematical Society 822: 38: 657: 574: 902:Academics of the University of Cambridge 483:Stable Homotopy and Generalised Homology 423:in K-theory, which are derived from the 30:For other people named Frank Adams, see 684:MacTutor History of Mathematics Archive 529: 62:Adams (right) with Dieter Puppe in 1962 922:Fellows of Trinity College, Cambridge 7: 917:Alumni of Trinity College, Cambridge 392:in the classical case. He used this 882:20th-century British mathematicians 462:. He was a visiting scholar at the 479:Lectures on Exceptional Lie Groups 372:terms, creating the basic tool of 270:. He began his academic career at 25: 912:People educated at Bedford School 841:Fielden Chair of Pure Mathematics 27:British mathematician (1930–1989) 56: 907:Road incident deaths in England 410:extraordinary cohomology theory 406:Adams–Novikov spectral sequence 402:secondary cohomology operations 785:, Cambridge University Press, 753:, Cambridge University Press, 602:. Vol. 1. pp. 1–28. 473:in Britain and worldwide. His 1: 779:; Thomas, Charles B. (eds.), 747:; Thomas, Charles B. (eds.), 701:London Mathematical Society. 541:Mathematics Genealogy Project 443:. A later paper of Adams and 927:Fellows of the Royal Society 608:10.1017/CBO9780511526305.003 464:Institute for Advanced Study 384:calculated over the ring of 32:Frank Adams (disambiguation) 460:London Mathematical Society 968: 877:Mathematicians from London 441:homotopy groups of spheres 338:Trinity College, Cambridge 332:He died in a car crash in 325:traverse)—and the game of 272:Trinity College, Cambridge 29: 845: 838: 830: 825: 659:10.1112/S0024609397002968 396:to attack the celebrated 236: 157: 55: 775:Adams, J. Frank (1992), 743:Adams, J. Frank (1992), 689:University of St Andrews 508:is named in his honour. 506:University of Manchester 429:vector fields on spheres 306:(1964–1970), and became 304:University of Manchester 101:Brampton, Cambridgeshire 84:, London, United Kingdom 378:Adams spectral sequence 366:killing homotopy groups 317:His interests included 288:University of Cambridge 278:, but soon switched to 176:University of Cambridge 123:Adams spectral sequence 113:University of Cambridge 887:English mathematicians 703:"List of Prizewinners" 576:10.1098/rsbm.1990.0021 456:Senior Whitehead Prize 374:stable homotopy theory 146:Senior Whitehead Prize 475:University of Chicago 386:cohomology operations 952:People from Woolwich 826:Educational offices 675:Robertson, Edmund F. 502:Alan Turing Building 892:British topologists 673:O'Connor, John J.; 380:. This begins with 640:"John Frank Adams" 471:algebraic topology 449:Hopf invariant one 419:. He invented the 398:Hopf invariant one 354:algebraic topology 282:. He received his 280:algebraic topology 274:, as a student of 855: 854: 846:Succeeded by 792:978-0-521-11068-6 458:, awarded by the 445:Michael F. Atiyah 394:spectral sequence 376:now known as the 370:spectral sequence 362:Jean-Pierre Serre 276:Abram Besicovitch 240: 239: 211:Doctoral students 159:Scientific career 16:(Redirected from 959: 849:Ian G. Macdonald 831:Preceded by 823: 803: 771: 730: 725: 719: 718: 716: 714: 709:on 15 April 2009 705:. Archived from 698: 692: 691: 670: 664: 663: 661: 628: 622: 621: 595: 589: 588: 578: 549: 543: 534: 518:Adams filtration 433:Adams conjecture 421:Adams operations 390:Steenrod algebra 249: 243:John Frank Adams 200:Doctoral advisor 194: 131:Adams conjecture 127:Adams operations 103:, United Kingdom 96: 77: 75: 60: 50: 39: 21: 967: 966: 962: 961: 960: 958: 957: 956: 947:Homotopy theory 857: 856: 851: 836: 810: 793: 774: 761: 742: 739: 734: 733: 726: 722: 712: 710: 700: 699: 695: 672: 671: 667: 630: 629: 625: 618: 597: 596: 592: 551: 550: 546: 535: 531: 526: 514: 498: 425:exterior powers 388:, which is the 350:homotopy theory 346: 262:He was born in 260: 252:homotopy theory 245: 229: 225: 221: 219:Peter Johnstone 217: 192: 151:Sylvester Medal 149: 144: 129: 125: 109:Alma mater 104: 98: 94: 85: 79: 78:5 November 1930 73: 71: 63: 51: 46: 44: 35: 28: 23: 22: 15: 12: 11: 5: 965: 963: 955: 954: 949: 944: 939: 934: 929: 924: 919: 914: 909: 904: 899: 894: 889: 884: 879: 874: 869: 859: 858: 853: 852: 847: 844: 837: 832: 828: 827: 821: 820: 809: 808:External links 806: 805: 804: 791: 772: 759: 738: 735: 732: 731: 720: 693: 665: 636:Wall, C. T. C. 632:James, Ioan M. 623: 616: 590: 553:James, Ioan M. 544: 528: 527: 525: 522: 521: 520: 513: 510: 497: 494: 439:in the stable 437:J-homomorphism 348:In the 1950s, 345: 342: 319:mountaineering 298:. He held the 268:Bedford School 259: 256: 238: 237: 234: 233: 223:Andrew Ranicki 212: 208: 207: 202: 196: 195: 184: 178: 177: 174: 170: 169: 166: 162: 161: 155: 154: 138: 134: 133: 120: 119:Known for 116: 115: 110: 106: 105: 99: 97:(aged 58) 93:7 January 1989 91: 87: 86: 80: 69: 65: 64: 61: 53: 52: 45: 42: 26: 24: 18:J. Frank Adams 14: 13: 10: 9: 6: 4: 3: 2: 964: 953: 950: 948: 945: 943: 940: 938: 935: 933: 930: 928: 925: 923: 920: 918: 915: 913: 910: 908: 905: 903: 900: 898: 895: 893: 890: 888: 885: 883: 880: 878: 875: 873: 870: 868: 865: 864: 862: 850: 843: 842: 835: 829: 824: 819: 815: 812: 811: 807: 802: 798: 794: 788: 784: 783: 778: 777:May, J. Peter 773: 770: 766: 762: 760:0-521-41063-0 756: 752: 751: 746: 745:May, J. Peter 741: 740: 736: 729: 724: 721: 708: 704: 697: 694: 690: 686: 685: 680: 679:"Frank Adams" 676: 669: 666: 660: 655: 651: 647: 646: 641: 637: 633: 627: 624: 619: 617:9780511526305 613: 609: 605: 601: 594: 591: 586: 582: 577: 572: 568: 564: 563: 558: 554: 548: 545: 542: 538: 533: 530: 523: 519: 516: 515: 511: 509: 507: 503: 495: 493: 491: 490:0-226-00524-0 487: 484: 480: 476: 472: 467: 465: 461: 457: 452: 450: 446: 442: 438: 434: 430: 426: 422: 418: 413: 411: 407: 403: 399: 395: 391: 387: 383: 379: 375: 371: 367: 363: 359: 355: 351: 343: 341: 339: 335: 330: 328: 324: 320: 315: 313: 312:Royal Society 309: 305: 301: 300:Fielden Chair 297: 294:, was titled 293: 289: 285: 281: 277: 273: 269: 265: 257: 255: 253: 248: 244: 235: 232: 228: 227:C. T. C. Wall 224: 220: 216: 215:BĂ©la Bollobás 213: 209: 206: 203: 201: 197: 190: 189: 185: 183: 179: 175: 171: 167: 163: 160: 156: 152: 147: 142: 141:Berwick Prize 139: 135: 132: 128: 124: 121: 117: 114: 111: 107: 102: 92: 88: 83: 70: 66: 59: 54: 49: 40: 37: 33: 19: 839: 818:Find a Grave 781: 749: 737:Publications 723: 711:. Retrieved 707:the original 696: 682: 668: 649: 643: 626: 599: 593: 566: 560: 547: 532: 499: 482: 478: 468: 466:in 1957–58. 453: 414: 358:Henri Cartan 347: 331: 316: 295: 261: 242: 241: 186: 173:Institutions 158: 95:(1989-01-07) 36: 872:1989 deaths 867:1930 births 814:Frank Adams 537:Frank Adams 496:Recognition 292:Shaun Wylie 231:Lam Siu-por 205:Shaun Wylie 168:Mathematics 43:Frank Adams 861:Categories 834:Max Newman 652:(4): 489. 524:References 382:Ext groups 74:1930-11-05 314:in 1964. 286:from the 638:(1997). 569:: 2–16. 555:(1990). 512:See also 451:result. 417:K-theory 334:Brampton 264:Woolwich 82:Woolwich 801:1203312 769:1203312 539:at the 504:at the 404:. The 323:Whitney 302:at the 799:  789:  767:  757:  713:8 July 614:  585:770077 583:  488:  193:(1956) 191:  182:Thesis 165:Fields 153:(1982) 148:(1974) 143:(1963) 137:Awards 581:JSTOR 787:ISBN 755:ISBN 715:2007 612:ISBN 486:ISBN 481:and 360:and 344:Work 258:Life 90:Died 68:Born 816:at 654:doi 604:doi 571:doi 368:in 284:PhD 247:FRS 48:FRS 863:: 797:MR 795:, 765:MR 763:, 687:, 681:, 677:, 650:29 648:. 642:. 634:; 610:. 579:. 567:36 565:. 559:. 492:. 340:. 329:. 327:Go 254:. 717:. 662:. 656:: 620:. 606:: 587:. 573:: 76:) 72:( 34:. 20:)

Index

J. Frank Adams
Frank Adams (disambiguation)
FRS

Woolwich
Brampton, Cambridgeshire
University of Cambridge
Adams spectral sequence
Adams operations
Adams conjecture
Berwick Prize
Senior Whitehead Prize
Sylvester Medal
Thesis
On Spectral Sequences and Self-Obstruction Invariants
Doctoral advisor
Shaun Wylie
Béla Bollobás
Peter Johnstone
Andrew Ranicki
C. T. C. Wall
Lam Siu-por
FRS
homotopy theory
Woolwich
Bedford School
Trinity College, Cambridge
Abram Besicovitch
algebraic topology
PhD

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