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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
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Vol. I 297:Lowndean Professor of Astronomy and Geometry 634:Bulletin of the London Mathematical Society 646: 619: 586: 563: 891:Academics of the University of Cambridge 472:Stable Homotopy and Generalised Homology 412:in K-theory, which are derived from the 19:For other people named Frank Adams, see 673:MacTutor History of Mathematics Archive 519: 51:Adams (right) with Dieter Puppe in 1962 848: 911:Fellows of Trinity College, Cambridge 763: 731: 540: 906:Alumni of Trinity College, Cambridge 381:in the classical case. He used this 871:20th-century British mathematicians 451:. He was a visiting scholar at the 13: 534: 468:Lectures on Exceptional Lie Groups 361:terms, creating the basic tool of 259:. He began his academic career at 14: 952: 901:People educated at Bedford School 830:Fielden Chair of Pure Mathematics 796: 16:British mathematician (1930–1989) 45: 896:Road incident deaths in England 725: 399:extraordinary cohomology theory 395:Adams–Novikov spectral sequence 391:secondary cohomology operations 774:, Cambridge University Press, 742:, Cambridge University Press, 710: 683: 655: 613: 591:. Vol. 1. pp. 1–28. 580: 484: 462:in Britain and worldwide. His 1: 768:; Thomas, Charles B. (eds.), 736:; Thomas, Charles B. (eds.), 690:London Mathematical Society. 530:Mathematics Genealogy Project 512: 432:. A later paper of Adams and 916:Fellows of the Royal Society 597:10.1017/CBO9780511526305.003 453:Institute for Advanced Study 373:calculated over the ring of 21:Frank Adams (disambiguation) 7: 500: 449:London Mathematical Society 10: 957: 866:Mathematicians from London 430:homotopy groups of spheres 327:Trinity College, Cambridge 321:He died in a car crash in 314:traverse)—and the game of 261:Trinity College, Cambridge 18: 834: 827: 819: 814: 648:10.1112/S0024609397002968 385:to attack the celebrated 225: 199: 187: 169: 161: 153: 146: 125: 107: 97: 78: 56: 44: 30: 764:Adams, J. Frank (1992), 732:Adams, J. Frank (1992), 678:University of St Andrews 497:is named in his honour. 495:University of Manchester 418:vector fields on spheres 295:(1964–1970), and became 293:University of Manchester 90:Brampton, Cambridgeshire 73:, London, United Kingdom 367:Adams spectral sequence 355:killing homotopy groups 332: 306:His interests included 277:University of Cambridge 267:, but soon switched to 246: 165:University of Cambridge 112:Adams spectral sequence 102:University of Cambridge 876:English mathematicians 692:"List of Prizewinners" 565:10.1098/rsbm.1990.0021 445:Senior Whitehead Prize 363:stable homotopy theory 135:Senior Whitehead Prize 464:University of Chicago 375:cohomology operations 941:People from Woolwich 815:Educational offices 664:Robertson, Edmund F. 491:Alan Turing Building 881:British topologists 662:O'Connor, John J.; 369:. This begins with 629:"John Frank Adams" 460:algebraic topology 438:Hopf invariant one 408:. He invented the 387:Hopf invariant one 343:algebraic topology 271:. He received his 269:algebraic topology 263:, as a student of 844: 843: 835:Succeeded by 781:978-0-521-11068-6 447:, awarded by the 434:Michael F. Atiyah 383:spectral sequence 365:now known as the 359:spectral sequence 351:Jean-Pierre Serre 265:Abram Besicovitch 229: 228: 200:Doctoral students 148:Scientific career 948: 838:Ian G. Macdonald 820:Preceded by 812: 811: 792: 760: 719: 714: 708: 707: 705: 703: 698:on 15 April 2009 694:. Archived from 687: 681: 680: 659: 653: 652: 650: 617: 611: 610: 584: 578: 577: 567: 538: 532: 523: 507:Adams filtration 422:Adams conjecture 410:Adams operations 379:Steenrod algebra 238: 232:John Frank Adams 189:Doctoral advisor 183: 120:Adams conjecture 116:Adams operations 92:, United Kingdom 85: 66: 64: 49: 39: 28: 27: 956: 955: 951: 950: 949: 947: 946: 945: 936:Homotopy theory 846: 845: 840: 825: 799: 782: 750: 728: 723: 722: 715: 711: 701: 699: 688: 684: 660: 656: 618: 614: 607: 585: 581: 539: 535: 524: 520: 515: 503: 487: 414:exterior powers 377:, which is the 339:homotopy theory 335: 251:He was born in 249: 241:homotopy theory 234: 218: 214: 210: 208:Peter Johnstone 206: 181: 140:Sylvester Medal 138: 133: 118: 114: 98:Alma mater 93: 87: 83: 74: 68: 67:5 November 1930 62: 60: 52: 40: 35: 33: 24: 17: 12: 11: 5: 954: 944: 943: 938: 933: 928: 923: 918: 913: 908: 903: 898: 893: 888: 883: 878: 873: 868: 863: 858: 842: 841: 836: 833: 826: 821: 817: 816: 810: 809: 798: 797:External links 795: 794: 793: 780: 761: 748: 727: 724: 721: 720: 709: 682: 654: 625:Wall, C. T. C. 621:James, Ioan M. 612: 605: 579: 542:James, Ioan M. 533: 517: 516: 514: 511: 510: 509: 502: 499: 486: 483: 428:in the stable 426:J-homomorphism 337:In the 1950s, 334: 331: 308:mountaineering 287:. He held the 257:Bedford School 248: 245: 227: 226: 223: 222: 212:Andrew Ranicki 201: 197: 196: 191: 185: 184: 173: 167: 166: 163: 159: 158: 155: 151: 150: 144: 143: 127: 123: 122: 109: 108:Known for 105: 104: 99: 95: 94: 88: 86:(aged 58) 82:7 January 1989 80: 76: 75: 69: 58: 54: 53: 50: 42: 41: 34: 31: 15: 9: 6: 4: 3: 2: 953: 942: 939: 937: 934: 932: 929: 927: 924: 922: 919: 917: 914: 912: 909: 907: 904: 902: 899: 897: 894: 892: 889: 887: 884: 882: 879: 877: 874: 872: 869: 867: 864: 862: 859: 857: 854: 853: 851: 839: 832: 831: 824: 818: 813: 808: 804: 801: 800: 791: 787: 783: 777: 773: 772: 767: 766:May, J. Peter 762: 759: 755: 751: 749:0-521-41063-0 745: 741: 740: 735: 734:May, J. Peter 730: 729: 718: 713: 697: 693: 686: 679: 675: 674: 669: 668:"Frank Adams" 665: 658: 649: 644: 640: 636: 635: 630: 626: 622: 616: 608: 606:9780511526305 602: 598: 594: 590: 583: 575: 571: 566: 561: 557: 553: 552: 547: 543: 537: 531: 527: 522: 518: 508: 505: 504: 498: 496: 492: 482: 480: 479:0-226-00524-0 476: 473: 469: 465: 461: 456: 454: 450: 446: 441: 439: 435: 431: 427: 423: 419: 415: 411: 407: 402: 400: 396: 392: 388: 384: 380: 376: 372: 368: 364: 360: 356: 352: 348: 344: 340: 330: 328: 324: 319: 317: 313: 309: 304: 302: 301:Royal Society 298: 294: 290: 289:Fielden Chair 286: 283:, was titled 282: 278: 274: 270: 266: 262: 258: 254: 244: 242: 237: 233: 224: 221: 217: 216:C. T. C. Wall 213: 209: 205: 204:BĂ©la Bollobás 202: 198: 195: 192: 190: 186: 179: 178: 174: 172: 168: 164: 160: 156: 152: 149: 145: 141: 136: 131: 130:Berwick Prize 128: 124: 121: 117: 113: 110: 106: 103: 100: 96: 91: 81: 77: 72: 59: 55: 48: 43: 38: 29: 26: 22: 828: 807:Find a Grave 770: 738: 726:Publications 712: 700:. Retrieved 696:the original 685: 671: 657: 638: 632: 615: 588: 582: 555: 549: 536: 521: 488: 471: 467: 457: 455:in 1957–58. 442: 403: 347:Henri Cartan 336: 320: 305: 284: 250: 231: 230: 175: 162:Institutions 147: 84:(1989-01-07) 25: 861:1989 deaths 856:1930 births 803:Frank Adams 526:Frank Adams 485:Recognition 281:Shaun Wylie 220:Lam Siu-por 194:Shaun Wylie 157:Mathematics 32:Frank Adams 850:Categories 823:Max Newman 641:(4): 489. 513:References 371:Ext groups 63:1930-11-05 303:in 1964. 275:from the 627:(1997). 558:: 2–16. 544:(1990). 501:See also 440:result. 406:K-theory 323:Brampton 253:Woolwich 71:Woolwich 790:1203312 758:1203312 528:at the 493:at the 393:. The 312:Whitney 291:at the 788:  778:  756:  746:  702:8 July 603:  574:770077 572:  477:  182:(1956) 180:  171:Thesis 154:Fields 142:(1982) 137:(1974) 132:(1963) 126:Awards 570:JSTOR 776:ISBN 744:ISBN 704:2007 601:ISBN 475:ISBN 470:and 349:and 333:Work 247:Life 79:Died 57:Born 805:at 643:doi 593:doi 560:doi 357:in 273:PhD 236:FRS 37:FRS 852:: 786:MR 784:, 754:MR 752:, 676:, 670:, 666:, 639:29 637:. 631:. 623:; 599:. 568:. 556:36 554:. 548:. 481:. 329:. 318:. 316:Go 243:. 706:. 651:. 645:: 609:. 595:: 576:. 562:: 65:) 61:( 23:.

Index

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
University of Cambridge

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