Knowledge

Otto Schilling

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MacLane, Saunders; Schilling, O. F. G. (1939). "Zero-Dimensional Branches of Rank One on Algebraic Varieties".
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in 1939, promoted to assistant professor 1943, associate 1945 and full professor in 1958. In 1961 he moved to
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Lane, Saunders Mac; Schilling, O. F. G. (1939). "Infinite Number Fields with Noether Ideal Theories".
70: 82: 22:(3 November 1911 – 20 June 1973) was a German-American mathematician known as one of the leading 181:
Schilling, O. E. G. (1937). "Arithmetic in Fields of Formal Power Series in Several Variables".
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A3 & His Algebra: How a Boy from Chicago's West Side Became a Force in American Mathematics
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Schilling, O. F. G. (1943). "Normal Extensions of Relatively Complete Fields".
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Schilling, O. F. G. (1938). "A Generalization of Local Class Field Theory".
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Schilling, Otto F. G. (1937). "Arithmetic in a Special Class of Algebras".
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Schilling, O. F. G. (1938). "The Structure of Local Class Field Theory".
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Schilling, O. F. G. (1940). "Remarks on a Special Class of Algebras".
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Schilling, Otto F. G. (1937). "Class Fields of Infinite Degree Over
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Modern Algebra and the Rise of Mathematical Structures
85:. His students were, among others, the game theorist 759:"Necessary conditions for local class field theory" 580: 1084:Emigrants from Nazi Germany to the United States 1030: 848:Schilling, Otto; Piper, William Stephen (1975). 540: 470:"Regular normal extensions over complete fields" 414: 338: 928: 784: 581:Kaplansky, Irving; Schilling, O. F. G. (1942). 541:MacLane, Saunders; Schilling, O. F. G. (1942). 421:Proceedings of the National Academy of Sciences 991: 847: 587:Bulletin of the American Mathematical Society 376: 791:Journal of the Mathematical Society of Japan 583:"Some remarks on relatively complete fields" 766:Mathematical Journal of Okayama University 73:1937–39. He became an instructor with the 1016: 826: 802: 740: 722: 705: 687: 670: 655:"On a special class of abelian functions" 652: 615: 598: 558: 502: 485: 467: 450: 432: 415:MacLane, S.; Schilling, O. F. G. (1940). 292: 255: 218: 180: 139: 102: 16:German-American mathematician (1911–1973) 725:"Ideal theory on open Riemann surfaces" 1031: 293:Schilling, O. F. G. (1939). "Units in 898: 1079:20th-century American mathematicians 954: 952: 924: 922: 13: 1039:20th-century German mathematicians 14: 1095: 949: 919: 833:. American Mathematical Society. 487:10.1090/s0002-9947-1940-0001970-2 417:"Normal Algebraic Number Fields" 33:and studied in the 1930s at the 1018:10.1090/s0002-9904-1951-09464-1 929:Albert-Goldberg, Nancy (2005), 742:10.1090/s0002-9904-1946-08669-3 707:10.1090/s0002-9904-1945-08339-6 672:10.1090/s0002-9904-1945-08293-7 618:American Journal of Mathematics 600:10.1090/S0002-9904-1942-07772-X 560:10.1090/s0002-9904-1942-07613-0 505:American Journal of Mathematics 379:American Journal of Mathematics 299:American Journal of Mathematics 258:American Journal of Mathematics 221:American Journal of Mathematics 985: 967: 892: 49:, and obtained his Ph.D. from 1: 1064:University of Chicago faculty 963:Mathematics Genealogy Project 885: 787:"On local class field theory" 1054:University of Marburg alumni 979:Institute for Advanced Study 975:"Otto Franz Georg Schilling" 785:f. g. Schilling, O. (1961). 723:Schilling, O. F. G. (1946). 688:Schilling, O. F. G. (1945). 653:Schilling, O. F. G. (1945). 468:Schilling, O. F. G. (1940). 67:Institute for Advanced Study 7: 690:"Noncommutative valuations" 96: 10: 1100: 935:, iUniverse, p. 122, 876:: CS1 maint: postscript ( 215:(typo in Schilling's name) 63:Trinity College, Cambridge 20:Otto Franz Georg Schilling 1059:Purdue University faculty 905:, Springer, p. 222, 341:The Annals of Mathematics 183:The Annals of Mathematics 146:The Annals of Mathematics 105:The Annals of Mathematics 1001:, by O. F. G. Schilling" 999:The theory of valuations 827:Schilling, Otto (1950). 820: 539:with Saunders Mac Lane: 413:with Saunders Mac Lane: 375:with Saunders Mac Lane: 71:Johns Hopkins University 735:(11, Part 1): 945–963. 83:Highland Park, Illinois 850:Basic abstract algebra 474:Trans. Amer. Math. Soc 144:-Adic Number Fields". 89:and the mathematician 53:in 1934 on the thesis 1005:Bull. Amer. Math. Soc 804:10.2969/jmsj/01330234 729:Bull. Amer. Math. Soc 694:Bull. Amer. Math. Soc 659:Bull. Amer. Math. Soc 547:Bull. Amer. Math. Soc 434:10.1073/pnas.26.2.122 75:University of Chicago 39:Universität Göttingen 1011:(1, Part 1): 91–94. 830:Theory of Valuations 899:Corry, Leo (2004), 1049:People from Apolda 981:. 9 December 2019. 51:Marburg University 854:Allyn & Bacon 772:(1): 5–10. 1953. 335:Saunders Mac Lane 297:-Adic Algebras". 79:Purdue University 65:before moving to 1091: 1023: 1022: 1020: 989: 983: 982: 971: 965: 956: 947: 945: 926: 917: 915: 896: 881: 875: 867: 844: 816: 806: 781: 763: 754: 744: 719: 709: 684: 674: 649: 612: 602: 577:Irving Kaplansky 572: 562: 536: 511:(1/4): 346–352. 499: 489: 464: 454: 436: 410: 372: 330: 289: 252: 214: 177: 136: 69:1935–37 and the 35:Universität Jena 1099: 1098: 1094: 1093: 1092: 1090: 1089: 1088: 1029: 1028: 1027: 1026: 990: 986: 973: 972: 968: 957: 950: 943: 927: 920: 913: 897: 893: 888: 869: 868: 864: 841: 823: 761: 757: 630:10.2307/2371818 593:(10): 744–748. 517:10.2307/2371458 391:10.2307/2371335 353:10.2307/1968935 311:10.2307/2371632 270:10.2307/2371605 233:10.2307/2371544 195:10.2307/1968600 158:10.2307/1968563 117:10.2307/1968513 99: 91:Harley Flanders 87:Anatol Rapoport 29:He was born in 17: 12: 11: 5: 1097: 1087: 1086: 1081: 1076: 1071: 1066: 1061: 1056: 1051: 1046: 1041: 1025: 1024: 993:Hochschild, G. 984: 966: 959:Otto Schilling 948: 941: 918: 911: 890: 889: 887: 884: 883: 882: 862: 845: 839: 822: 819: 818: 817: 797:(3): 234–245. 782: 755: 720: 700:(4): 297–304. 685: 665:(2): 133–136. 650: 624:(2): 309–334. 613: 573: 553:(2): 108–114. 537: 500: 480:(3): 440–454. 465: 427:(2): 122–126. 411: 385:(3): 771–782. 373: 347:(3): 507–520. 331: 305:(4): 883–896. 290: 264:(3): 667–704. 253: 216: 189:(3): 551–576. 178: 152:(2): 469–476. 137: 111:(1): 116–119. 98: 95: 57:. He then was 15: 9: 6: 4: 3: 2: 1096: 1085: 1082: 1080: 1077: 1075: 1072: 1070: 1067: 1065: 1062: 1060: 1057: 1055: 1052: 1050: 1047: 1045: 1042: 1040: 1037: 1036: 1034: 1019: 1014: 1010: 1006: 1002: 1000: 994: 988: 980: 976: 970: 964: 960: 955: 953: 944: 942:9780595328178 938: 934: 933: 925: 923: 914: 912:9783764370022 908: 904: 903: 895: 891: 879: 873: 866:; (394 pages) 865: 859: 855: 851: 846: 842: 836: 832: 831: 825: 824: 814: 810: 805: 800: 796: 792: 788: 783: 779: 775: 771: 767: 760: 756: 752: 748: 743: 738: 734: 730: 726: 721: 717: 713: 708: 703: 699: 695: 691: 686: 682: 678: 673: 668: 664: 660: 656: 651: 647: 643: 639: 635: 631: 627: 623: 619: 614: 610: 606: 601: 596: 592: 588: 584: 578: 574: 570: 566: 561: 556: 552: 548: 544: 538: 534: 530: 526: 522: 518: 514: 510: 506: 501: 497: 493: 488: 483: 479: 475: 471: 466: 462: 458: 453: 448: 444: 440: 435: 430: 426: 422: 418: 412: 408: 404: 400: 396: 392: 388: 384: 380: 374: 370: 366: 362: 358: 354: 350: 346: 342: 336: 332: 328: 324: 320: 316: 312: 308: 304: 300: 296: 291: 287: 283: 279: 275: 271: 267: 263: 259: 254: 250: 246: 242: 238: 234: 230: 227:(1): 75–100. 226: 222: 217: 212: 208: 204: 200: 196: 192: 188: 184: 179: 175: 171: 167: 163: 159: 155: 151: 147: 143: 138: 134: 130: 126: 122: 118: 114: 110: 106: 101: 100: 94: 92: 88: 84: 81:. He died in 80: 76: 72: 68: 64: 60: 56: 52: 48: 44: 40: 36: 32: 27: 26:of his time. 25: 21: 1008: 1004: 998: 987: 978: 969: 931: 901: 894: 849: 829: 794: 790: 769: 765: 732: 728: 697: 693: 662: 658: 621: 617: 590: 586: 550: 546: 508: 504: 477: 473: 424: 420: 382: 378: 344: 340: 302: 298: 294: 261: 257: 224: 220: 186: 182: 149: 145: 141: 108: 104: 54: 47:Helmut Hasse 43:Emmy Noether 28: 19: 18: 1074:1973 deaths 1069:1911 births 1044:Algebraists 24:algebraists 1033:Categories 886:References 863:0205042732 840:0821815040 997:"Review: 872:cite book 813:0025-5645 778:0030-1566 638:0002-9327 609:0002-9904 525:0002-9327 443:0027-8424 399:0002-9327 361:0003-486X 319:0002-9327 278:0002-9327 241:0002-9327 203:0003-486X 166:0003-486X 125:0003-486X 995:(1951). 461:16588322 97:Articles 59:post doc 37:and the 961:at the 751:0019733 716:0011684 681:0011291 646:2371818 569:0006152 533:2371458 496:0001970 452:1078017 407:2371335 369:1968935 327:2371632 286:2371605 249:2371544 211:1968600 174:1968563 133:1968513 939:  909:  860:  837:  811:  776:  749:  714:  679:  644:  636:  607:  567:  531:  523:  494:  459:  449:  441:  405:  397:  367:  359:  325:  317:  284:  276:  247:  239:  209:  201:  172:  164:  131:  123:  41:under 31:Apolda 821:Books 762:(PDF) 642:JSTOR 575:with 529:JSTOR 403:JSTOR 365:JSTOR 333:with 323:JSTOR 282:JSTOR 245:JSTOR 207:JSTOR 170:JSTOR 129:JSTOR 937:ISBN 907:ISBN 878:link 858:ISBN 835:ISBN 809:ISSN 774:ISSN 634:ISSN 605:ISSN 521:ISSN 457:PMID 439:ISSN 395:ISSN 357:ISSN 315:ISSN 274:ISSN 237:ISSN 199:ISSN 162:ISSN 121:ISSN 1013:doi 799:doi 737:doi 702:doi 667:doi 626:doi 595:doi 555:doi 513:doi 482:doi 447:PMC 429:doi 387:doi 349:doi 307:doi 266:doi 229:doi 191:doi 154:doi 113:doi 61:at 1035:: 1009:57 1007:. 1003:. 977:. 951:^ 921:^ 874:}} 870:{{ 856:. 852:. 807:. 795:13 793:. 789:. 768:. 764:. 747:MR 745:. 733:52 731:. 727:. 712:MR 710:. 698:51 696:. 692:. 677:MR 675:. 663:51 661:. 657:. 640:. 632:. 622:65 620:. 603:. 591:48 589:. 585:. 579:: 565:MR 563:. 551:48 549:. 545:. 527:. 519:. 509:62 507:. 492:MR 490:. 478:47 476:. 472:. 455:. 445:. 437:. 425:26 423:. 419:. 401:. 393:. 383:61 381:. 363:. 355:. 345:40 343:. 337:: 321:. 313:. 303:61 301:. 280:. 272:. 262:60 260:. 243:. 235:. 225:60 223:. 205:. 197:. 187:38 185:. 168:. 160:. 150:38 148:. 127:. 119:. 109:38 107:. 93:. 1021:. 1015:: 946:. 916:. 880:) 843:. 815:. 801:: 780:. 770:3 753:. 739:: 718:. 704:: 683:. 669:: 648:. 628:: 611:. 597:: 571:. 557:: 535:. 515:: 498:. 484:: 463:. 431:: 409:. 389:: 371:. 351:: 329:. 309:: 295:p 288:. 268:: 251:. 231:: 213:. 193:: 176:. 156:: 142:p 135:. 115::

Index

algebraists
Apolda
Universität Jena
Universität Göttingen
Emmy Noether
Helmut Hasse
Marburg University
post doc
Trinity College, Cambridge
Institute for Advanced Study
Johns Hopkins University
University of Chicago
Purdue University
Highland Park, Illinois
Anatol Rapoport
Harley Flanders
doi
10.2307/1968513
ISSN
0003-486X
JSTOR
1968513
doi
10.2307/1968563
ISSN
0003-486X
JSTOR
1968563
doi
10.2307/1968600

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