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Saunders Mac Lane

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25: 444:. He was christened "Leslie Saunders MacLane", but "Leslie" fell into disuse because his parents, Donald MacLane and Winifred Saunders, came to dislike it. He began inserting a space into his surname because his first wife found it difficult to type the name without a space. He was the eldest of three brothers; one of his brothers, Gerald MacLane, also became a mathematics professor at 689: 135: 6637: 526:, who encouraged him to go there for his graduate studies and soon afterwards offered him a scholarship. Mac Lane neglected to actually apply to the program, but showed up and was admitted anyway. At Chicago, the subjects he studied included 609:
and began what would become a fruitful collaboration on the interplay between algebra and topology. In 1944 and 1945, he directed Columbia University's Applied Mathematics Group, which was involved in the war effort as a contractor for the
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In 1931, having earned his master's degree and feeling restless at Chicago, he earned a fellowship from the Institute of International Education and became one of the last Americans to study at the
483:, coached him for a local mathematics competition which he won, setting the direction for his future work. He went on to study mathematics and physics as a double major, taking courses from 6622: 5862: 569:. By the time he finished his doctorate in 1934, Bernays had been forced to leave because he was Jewish, and Weyl became his main examiner. At Göttingen, Mac Lane also studied with 5820: 6632: 479:, where many of his relatives had been educated, and paid his way there beginning in 1926. As a freshman, he became disillusioned with chemistry. His mathematics instructor, 6602: 5814: 879: 6627: 6617: 5786: 5838: 5826: 5364: 5782: 5762: 5744: 5574: 1607: 1557: 5878: 5848: 5734: 1435: 5868: 5804: 794:. According to McLarty (2005), this diagrammatic approach to contemporary mathematics largely stems from Mac Lane (1948), who also coined the term 1128: 5832: 5778: 5674: 6567: 6562: 5586: 6612: 5710: 475:. While in high school, his father died, and he came under his grandfather's care. His half-uncle, a lawyer, was determined to send him to 673: 649: 6577: 6557: 6552: 5911: 5357: 1383: 921: 815: 601:. He then held a tenure track appointment at Harvard from 1938 to 1947. In 1941, while giving a series of visiting lectures at the 1600: 1533: 89: 6607: 61: 6572: 1365: 1326: 887: 503:, among others. He graduated from Yale with a B.A. in 1930. During this period, he published his first scientific paper, in 1865: 6597: 5350: 661: 68: 1089: 664:
in the 1950s, he initiated its activities aimed at improving the teaching of modern mathematics. He was a member of the
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for a lemma which is an essential background to many central concepts of category theory and which was discovered by
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In 1947, he accepted an offer to return to Chicago, where (in part because of the university's involvement in the
255: 6582: 6372: 5632: 4217: 1309:(2013), "Chapter 4. Analysis and Algebra Meet Topology: Marston Morse, Hassler Whitney, and Saunders Mac Lane", 813:. From then on, it was possible to teach elementary modern algebra to undergraduates using an English text. His 6463: 5854: 941: 653: 46: 57: 6587: 6487: 5921: 5680: 1830: 1580: 1567: 926: 759: 657: 577:. Within days of finishing his degree, he married Dorothy Jones, from Chicago, and soon returned to the U.S. 1433:(2007), "The Last Mathematician from Hilbert's Göttingen: Saunders Mac Lane as Philosopher of Mathematics", 452:. Another sister died as a baby. His father and grandfather were both ministers; his grandfather had been a 6447: 5904: 5522: 4547: 729: 1554: 6592: 4299: 3085: 2587: 2005: 263: 6174: 5696: 5544: 5392: 5255: 4519: 2245: 1498: 1050: 705: 247: 558: 216: 3494: 3043: 1928: 1616: 805:
Mac Lane had an exemplary devotion to writing approachable texts, starting with his very influential
787: 677: 611: 295: 1585: 1449: 890:(Originally, Band 114 of Die Grundlehren Der Mathematischen Wissenschaften in Einzeldarstellungen.) 4943: 4389: 3512: 3345: 1538: 1318: 5889: 6396: 5968: 5936: 5897: 4254: 2968: 2093: 1528: 1388: 1020: 668:, 1974–1980, advising the American government. In 1976, he led a delegation of mathematicians to 519: 317: 267: 35: 3522: 1544: 6051: 5716: 5242: 4811: 4711: 4698: 4524: 3654: 3628: 3600: 3274: 3148: 2932: 2436: 2388: 2070: 1941: 1723: 1444: 1167: 1025: 665: 602: 543: 539: 441: 159: 82: 1421: 6273: 6265: 6217: 6110: 6094: 6035: 5664: 5422: 5410: 5302: 4688: 4670: 4570: 4483: 3850: 3295: 2326: 2111: 1923: 1771: 1548: 615: 598: 523: 515: 465: 461: 339: 290: 207: 633:) many other famous mathematicians and physicists had also recently moved. He traveled as a 6547: 6542: 6225: 6043: 5504: 5273: 5237: 5146: 5091: 4990: 4872: 4864: 4834: 4678: 4655: 4534: 4286: 4209: 3476: 3431: 3358: 3256: 3111: 3030: 2937: 2485: 2416: 2306: 2293: 2129: 1987: 1977: 1964: 1959: 1571: 1466: 1409: 1344: 488: 437: 377: 5738: 3166: 1482: 1417: 1352: 8: 6118: 6027: 6003: 5952: 5610: 5323: 5086: 5078: 5031: 4792: 4739: 4721: 4562: 4465: 4180: 3691: 3678: 3569: 3463: 3384: 3232: 3198: 3153: 3124: 3093: 3007: 2983: 2924: 2736: 2705: 2459: 2311: 2172: 2167: 2152: 1936: 1524: 957: 779: 709: 619: 343: 251: 4193: 1255: 6638:
Proceedings of the National Academy of Sciences of the United States of America editors
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to study the conditions affecting mathematics there. Mac Lane was elected to the
645:. MacLane succeeded Stone as department chair in 1952, and served for six years. 586: 570: 508: 492: 476: 445: 421: 285: 239: 235: 198: 1229: 1200: 981: 6439: 6348: 6257: 6233: 5872: 5774: 5756: 5728: 5604: 5580: 5538: 5404: 5310: 5263: 5177: 5141: 4900: 4892: 4859: 4816: 4627: 4514: 4357: 4304: 4267: 4246: 4112: 4099: 4062: 4041: 4031: 4007: 3988: 3935: 3893: 3810: 3623: 3574: 3545: 3379: 3261: 3237: 3190: 3119: 3051: 3020: 2960: 2919: 2891: 2807: 2799: 2651: 2569: 2493: 2467: 2441: 2431: 2421: 2334: 2265: 2237: 2204: 2196: 2083: 2078: 2028: 1915: 1873: 1806: 1755: 1715: 1710: 1683: 1651: 1306: 1247: 1171: 741: 713: 630: 480: 397: 373: 1384:"Saunders Mac Lane (1909–2005): His Mathematical Life and Philosophical Works" 500: 6536: 6412: 6388: 6380: 6364: 6281: 6158: 6102: 6075: 5960: 5792: 5722: 5702: 5640: 5598: 5342: 5187: 5005: 4971: 4961: 4821: 4787: 4706: 4650: 4645: 4637: 4585: 4557: 4552: 4506: 4423: 4336: 4262: 4238: 4146: 3956: 3948: 3730: 3722: 3592: 3405: 3371: 3353: 3269: 3224: 3219: 3129: 2973: 2914: 2909: 2883: 2791: 2786: 2692: 2687: 2669: 2661: 2612: 2545: 2540: 2480: 2454: 2134: 2116: 2088: 2020: 2000: 1969: 1857: 1814: 1747: 1678: 1430: 1401: 1379: 1314: 966: 535: 231: 178: 4023: 6511: 6404: 6059: 5995: 5768: 5670: 5526: 5510: 5470: 5315: 5297: 5292: 5122: 5117: 5065: 5000: 4933: 4782: 4749: 4716: 4580: 4491: 4233: 4201: 4067: 3980: 3605: 3582: 3203: 3106: 2768: 2723: 2718: 2597: 2527: 2509: 2501: 2426: 2344: 2214: 2162: 2139: 2057: 2010: 1982: 1779: 1426:. With selected bibliography emphasizing Mac Lane's philosophical writings. 1336: 961: 799: 795: 574: 566: 562: 453: 385: 369: 359: 355: 1576: 1458: 6503: 6479: 6455: 6316: 6182: 5987: 5658: 5646: 5556: 5550: 5480: 5464: 5446: 5428: 5398: 5250: 5057: 4938: 4915: 4849: 4772: 4754: 4542: 4496: 4478: 4402: 4312: 3964: 3858: 3802: 3481: 3072: 3002: 2942: 2859: 2817: 2602: 2321: 2283: 2106: 1798: 717: 561:
prior to its decline under the Nazis. His greatest influences there were
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From 1934 through 1938, Mac Lane held short-term appointments at
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in 1942, and in 1943 began his research on what are now called
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Members of the United States National Academy of Sciences
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remains the definitive introduction to category theory.
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Proceedings of the Nat. Acad. of Sciences of the USA 34
778:, and of some other mathematics as well, is the use of 629:, and in part because of the administrative efforts of 614:; the mathematics he worked on in this group concerned 1165: 6633:
Presidents of the Mathematical Association of America
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Harvard University Department of Mathematics faculty
456:, but was kicked out of the church for believing in 514:In 1929, at a party of Yale football supporters in 49:. Unsourced material may be challenged and removed. 1087: 1048: 1631: 1522: 1436:The British Journal for the Philosophy of Science 1260:National Science and Technology Medals Foundation 1224: 1198: 860:Rice Institute Pamphlet - Rice University Studies 6534: 3916:Mathematical, statistical, and computer sciences 770:in 1945. He is especially known for his work on 471:In high school, Mac Lane's favorite subject was 6628:Presidents of the American Mathematical Society 1001:Saunders Mac Lane: A Mathematical Autobiography 960:in Geometry and Logic: A First Introduction to 420:, was an American mathematician who co-founded 5372: 6618:Members of the American Philosophical Society 5905: 5358: 1601: 1178:, Harcourt Brace Jovanovich, pp. 196–219 641:for the 1947–1948 term, where he worked with 1572:Saunders Mac Lane, the Knight of Mathematics 468:and taught English, Latin, and mathematics. 431: 5912: 5898: 5365: 5351: 1608: 1594: 1372: 1201:"Mathematics at Göttingen under the Nazis" 982:"Mathematics at Gottingen under the Nazis" 774:. A recurring feature of category theory, 133: 1448: 1279: 856:"Natural Associativity and Commutativity" 109:Learn how and when to remove this message 3325: 1304: 922:Categories for the Working Mathematician 846:1948, "Groups, categories and duality," 816:Categories for the Working Mathematician 687: 416:(August 4, 1909 – April 14, 2005), born 1895: 1617:United States National Medal of Science 1534:MacTutor History of Mathematics Archive 1489: 1429: 1378: 6535: 1495:New Dictionary of Scientific Biography 1253: 1126: 5893: 5346: 4445: 4444: 3914: 3324: 2838: 1894: 1630: 1589: 1280:Kinoshita, Yoshiki (April 23, 1996). 1161: 1159: 1157: 1155: 1153: 1151: 1149: 6568:21st-century American mathematicians 6563:20th-century American mathematicians 1174:, eds. (1990), "Saunders Mac Lane", 47:adding citations to reliable sources 18: 6613:National Medal of Science laureates 662:Mathematical Association of America 464:. His mother, Winifred, studied at 13: 1199:MacLane, Saunders (October 1995). 1146: 16:American mathematician (1909–2005) 14: 6649: 1516: 1127:Pearce, Jeremy (April 21, 2005). 1090:"Some Recent Advances in Algebra" 822: 440:, near where his family lived in 6558:People from Norwich, Connecticut 1282:"Prof. Nobuo Yoneda passed away" 1254:Clason, Lauren (July 31, 2020). 683: 268:Steinitz–Mac Lane exchange lemma 23: 6553:Mathematicians from Connecticut 740:), having a single non-trivial 720:, and separability in infinite 34:needs additional citations for 6578:University of Göttingen alumni 1273: 1218: 1192: 1183: 1120: 1081: 1042: 942:Mathematics, Form and Function 766:, he and Eilenberg originated 751:. This work opened the way to 654:American Philosophical Society 260:Mac Lane's planarity criterion 1: 6608:University of Chicago faculty 5922:American Mathematical Society 2839: 1632:Behavioral and social science 1581:Mathematics Genealogy Project 1493:(2007), "Saunders Mac Lane", 1298: 927:Graduate Texts in Mathematics 658:American Mathematical Society 648:He was vice president of the 6573:University of Chicago alumni 696:at a conference in July 1992 674:National Academy of Sciences 650:National Academy of Sciences 7: 1088:Mac Lane, Saunders (1939). 1049:Mac Lane, Saunders (1940). 1014: 786:) linking objects, such as 762:, the abstract approach to 758:After introducing, via the 660:. While presiding over the 522:, the new president of the 10: 6654: 6598:Cornell University faculty 6175:Theophil Henry Hildebrandt 4520:Subrahmanyan Chandrasekhar 830:A Survey of Modern Algebra 809:, coauthored in 1941 with 807:A Survey of Modern Algebra 676:in 1949, and received the 248:Mac Lane coherence theorem 6423: 6308: 6201: 6086: 5979: 5928: 5381: 5282: 5131: 4980: 4801: 4607: 4455: 4451: 4440: 4374: 4276: 4165: 4076: 3997: 3925: 3921: 3910: 3867: 3776: 3668: 3559: 3495:William Hayward Pickering 3440: 3335: 3331: 3320: 3246: 3138: 2992: 2868: 2849: 2845: 2834: 2745: 2554: 2368: 2186: 2042: 1905: 1901: 1890: 1847: 1788: 1700: 1660: 1641: 1637: 1626: 760:Eilenberg–Steenrod axioms 678:National Medal of Science 612:Applied Mathematics Panel 580: 407: 365: 349: 327: 309: 302: 296:National Medal of Science 281: 273: 227: 194: 186: 167: 141: 132: 125: 4944:Norman Foster Ramsey Jr. 4390:S. R. Srinivasa Varadhan 2021:Burrhus Frederic Skinner 1539:University of St Andrews 1319:Harvard University Press 1176:More Mathematical People 1036: 782:, consisting of arrows ( 730:Eilenberg–MacLane spaces 724:. He started writing on 704:, his early work was in 432:Early life and education 6397:Cathleen Synge Morawetz 5969:Robert Simpson Woodward 5937:John Howard Van Amringe 5617:W. B. Raymond Lickorish 4255:Cathleen Synge Morawetz 2173:George Ledyard Stebbins 2094:James Augustine Shannon 1555:Photographs of Mac Lane 1499:Charles Scribner's Sons 1389:Philosophia Mathematica 1373:Biographical references 1189:Mac Lane (2005), pg. 6. 1168:Alexanderson, Gerald L. 1021:Foundations of geometry 880:Classics in Mathematics 656:, and president of the 559:University of Göttingen 520:Robert Maynard Hutchins 460:, and his father was a 418:Leslie Saunders MacLane 318:Algebraic number theory 277:Dorothy Jones (m. 1934) 264:Eilenberg–MacLane space 217:University of Göttingen 146:Leslie Saunders MacLane 6583:Yale University alumni 6052:Leonard Eugene Dickson 4712:Joseph O. Hirschfelder 4699:Kenneth Sanborn Pitzer 3655:Harry George Drickamer 3601:Hans Wolfgang Liepmann 3275:M. Frederick Hawthorne 3149:John D. Baldeschwieler 2389:Daniel E. Koshland Jr. 2071:Earl W. Sutherland Jr. 1545:Obituary press release 1402:10.1093/philmat/nki038 1026:PROP (category theory) 697: 666:National Science Board 616:differential equations 603:University of Michigan 544:calculus of variations 540:Leonard Eugene Dickson 6274:Charles B. Morrey Jr. 6266:Abraham Adrian Albert 6218:Gordon Thomas Whyburn 6111:Earle Raymond Hedrick 6095:George David Birkhoff 6036:Edward Burr Van Vleck 5545:Shreeram S. Abhyankar 5303:Sylvester James Gates 4689:William Alfred Fowler 4671:Robert Rathbun Wilson 4484:Robert Burns Woodward 3296:Geraldine L. Richmond 3044:Howard E. Simmons Jr. 2327:Rosalyn Sussman Yalow 2256:Vernon B. Mountcastle 2112:Sterling B. Hendricks 1929:Marshall W. Nirenberg 1924:Theodosius Dobzhansky 1772:William Julius Wilson 1549:University of Chicago 691: 599:University of Chicago 524:University of Chicago 516:Montclair, New Jersey 507:and co-authored with 466:Mount Holyoke College 436:Mac Lane was born in 340:University of Chicago 291:Leroy P. Steele Prize 208:University of Chicago 6588:American algebraists 6226:Raymond Louis Wilder 6044:Ernest William Brown 5787:David Shea Vela-Vick 5570:1983 No award given. 5567:1982 No award given. 5274:Warren M. Washington 5238:Fay Ajzenberg-Selove 5147:Jeremiah P. Ostriker 5092:Martin Schwarzschild 4873:Solomon J. Buchsbaum 4865:J. Robert Schrieffer 4835:E. Margaret Burbidge 4679:Nicolaas Bloembergen 4656:Arie Jan Haagen-Smit 4535:Vladimir K. Zworykin 4287:John Griggs Thompson 4210:Martin David Kruskal 4050:Kurt Otto Friedrichs 3523:Erwin Wilhelm Müller 3477:Ralph Brazelton Peck 3432:Jack St. Clair Kilby 3359:John Robinson Pierce 3326:Engineering sciences 3257:Jacqueline K. Barton 3112:George M. Whitesides 3031:Dudley R. Herschbach 2969:Richard B. Bernstein 2938:Walter H. Stockmayer 2486:Elizabeth F. Neufeld 2417:G. Evelyn Hutchinson 2307:Stanley Norman Cohen 2294:Rita Levi-Montalcini 2130:Keith Roberts Porter 1993:Alfred H. Sturtevant 1988:Michael Heidelberger 1960:Fritz Albert Lipmann 1525:Robertson, Edmund F. 1501:, pp. 237–251, 620:fire-control systems 489:Ernest William Brown 438:Norwich, Connecticut 256:Mac Lane's condition 43:improve this article 6119:Luther P. Eisenhart 6028:Henry Burchard Fine 6004:William Fogg Osgood 5953:George William Hill 5839:Vladimir Pozdnyakov 5637:Jonathan M. Borwein 5611:David Allen Hoffman 5324:Shirley Ann Jackson 5243:Charles P. Slichter 5087:Marshall Rosenbluth 5079:Wallace S. Broecker 5032:Eugene M. Shoemaker 4793:Victor F. Weisskopf 4740:Herbert S. Gutowsky 4722:Edgar Bright Wilson 4563:George Kistiakowsky 4181:Stephen Cole Kleene 3692:George H. Heilmeier 3679:Mildred Dresselhaus 3570:Edward H. Heinemann 3500:Frederick E. Terman 3464:Richard T. Whitcomb 3385:Clarence L. Johnson 3346:Theodore von Kármán 3233:Stephen J. Benkovic 3212:Mostafa A. El-Sayed 3199:Marvin H. Caruthers 3154:Ralph F. Hirschmann 3094:Darleane C. Hoffman 2984:Harden M. McConnell 2925:Frank H. Westheimer 2737:Stanley B. Prusiner 2701:Robert J. Lefkowitz 2460:Howard Martin Temin 2317:Maurice R. Hilleman 2312:Joseph L. Goldstein 2251:Donald A. Henderson 2168:Earl Reece Stadtman 2153:Elizabeth C. Crosby 2117:Orville Alvin Vogel 1947:Donald D. Van Slyke 1896:Biological sciences 1529:"Saunders Mac Lane" 1523:O'Connor, John J.; 1459:10.1093/bjps/axl030 1424:on January 13, 2013 1321:, pp. 86–115, 1256:"Saunders Mac Lane" 1166:Albers, Donald J.; 1094:Amer. Math. Monthly 1055:Amer. Math. Monthly 945:. Springer-Verlag. 344:Columbia University 252:Mac Lane set theory 162:, Connecticut, U.S. 58:"Saunders Mac Lane" 6593:Category theorists 6127:Arthur Byron Coble 6068:Gilbert Ames Bliss 5920:Presidents of the 5827:Daniel J. Velleman 5621:Kenneth C. Millett 5593:James H. Wilkinson 5196:G. Brent Dalrymple 5014:Arthur L. Schawlow 4921:James A. Van Allen 4812:Philip W. Anderson 4768:Richard P. Feynman 4694:Linus Carl Pauling 4329:Dennis P. Sullivan 3886:John B. Goodenough 3819:Edwin N. Lightfoot 3787:Yuan-Cheng B. Fung 3768:Kenneth N. Stevens 3536:Raymond D. Mindlin 3459:Harold E. Edgerton 3304:A. Paul Alivisatos 3183:Stephen J. Lippard 3162:Ernest R. Davidson 3099:Harold S. Johnston 2933:William S. Johnson 2897:George C. Pimentel 2732:Susan L. Lindquist 2714:Francis S. Collins 2608:Victor A. McKusick 2583:Francisco J. Ayala 2565:Nancy C. Andreasen 2515:Robert A. Weinberg 2289:Har Gobind Khorana 2274:Michael E. DeBakey 2261:George Emil Palade 2233:Wendell L. Roelofs 2223:Howard L. Bachrach 2053:Barbara McClintock 1955:Edward F. Knipling 1560:2013-05-24 at the 1237:Notices of the AMS 1208:Notices of the AMS 1133:The New York Times 989:Notices of the AMS 772:coherence theorems 702:mathematical logic 700:After a thesis in 698: 595:Cornell University 591:Harvard University 548:Gilbert Ames Bliss 336:Cornell University 332:Harvard University 322:Algebraic topology 314:Mathematical logic 181:, California, U.S. 6530: 6529: 6341:Andrew M. Gleason 6298:Saunders Mac Lane 6242:Edward J. McShane 6167:Marshall H. Stone 6151:Griffith C. Evans 6135:Solomon Lefschetz 6012:Henry Seely White 5887: 5886: 5843:J. Michael Steele 5811:Susan H. Marshall 5783:Daniel Pomerleano 5763:Brian J. McCartin 5745:Andrew J. Simoson 5739:Günter M. Ziegler 5693:Carolyn S. Gordon 5575:R. Arthur Knoebel 5551:Neil J. A. Sloane 5539:W. Gilbert Strang 5493:Shiing-Shen Chern 5475:Joseph P. LaSalle 5453:Cornelius Lanczos 5417:Saunders Mac Lane 5393:T. H. Hildebrandt 5340: 5339: 5336: 5335: 5332: 5331: 5269:Esther M. Conwell 5209:Robert N. Clayton 5201:Riccardo Giacconi 5165:Raymond Davis Jr. 5053:Albert Overhauser 4996:Edwin M. McMillan 4957:Arnold O. Beckman 4934:Paul Ching-Wu Chu 4911:Paul C. Lauterbur 4888:Robert Hofstadter 4840:Maurice Goldhaber 4827:Charles H. Townes 4778:Edward M. Purcell 4745:Frederick Rossini 4599:Wolfgang Panofsky 4530:John H. Van Vleck 4446:Physical sciences 4436: 4435: 4432: 4431: 4398:Solomon W. Golomb 4358:Andrew J. Viterbi 4353:Leonard Kleinrock 4300:Calyampudi R. Rao 4268:Ronald R. Coifman 4176:George F. Carrier 4157:Donald C. Spencer 4152:Saunders Mac Lane 4087:Marshall H. Stone 4037:Shiing-Shen Chern 3944:Solomon Lefschetz 3906: 3905: 3902: 3901: 3843:David J. Wineland 3811:John M. Prausnitz 3752:C. Kumar N. Patel 3747:James L. Flanagan 3715:John Roy Whinnery 3702:H. Guyford Stever 3684:Nick Holonyak Jr. 3647:George W. Housner 3642:Willis M. Hawkins 3637:Daniel C. Drucker 3619:Robert Byron Bird 3611:Bernard M. Oliver 3518:Peter C. Goldmark 3505:Wernher von Braun 3451:George E. Mueller 3424:Nathan M. Newmark 3419:J. Presper Eckert 3398:Claude E. Shannon 3367:Charles S. Draper 3316: 3315: 3312: 3311: 3283:Judith P. Klinman 3167:Gábor A. Somorjai 3078:Isabella L. Karle 3065:George S. Hammond 3026:Gertrude B. Elion 2979:Rudolph A. Marcus 2830: 2829: 2826: 2825: 2756:Ralph L. Brinster 2675:Torsten N. Wiesel 2652:Norman E. Borlaug 2639:Solomon H. Snyder 2634:J. Michael Bishop 2593:Mario R. Capecchi 2473:Salome G. Waelsch 2404:E. Donnall Thomas 2279:Theodor O. Diener 2178:Paul Alfred Weiss 2006:Bernard B. Brodie 1942:George G. Simpson 1886: 1885: 1882: 1881: 1831:Michael I. Posner 1732:Eleanor J. Gibson 1684:George J. Stigler 1652:Neal Elgar Miller 1577:Saunders Mac Lane 1366:978-0-674-72655-0 1328:978-0-674-72500-3 1226:Segal, Sanford L. 888:978-0-387-58662-5 635:Guggenheim Fellow 627:Manhattan Project 552:Mortimer J. Adler 550:, and logic with 497:F. S. C. Northrop 462:Congregationalist 450:Purdue University 414:Saunders Mac Lane 411: 410: 390:Michael D. Morley 366:Doctoral students 304:Scientific career 127:Saunders Mac Lane 119: 118: 111: 93: 6645: 6523: 6515: 6507: 6499: 6491: 6483: 6475: 6472:Eric Friedlander 6467: 6459: 6451: 6443: 6435: 6416: 6408: 6400: 6392: 6384: 6376: 6368: 6360: 6357:Irving Kaplansky 6352: 6344: 6336: 6328: 6320: 6301: 6293: 6285: 6277: 6269: 6261: 6253: 6250:Deane Montgomery 6245: 6237: 6229: 6221: 6213: 6210:John von Neumann 6194: 6186: 6178: 6170: 6162: 6154: 6146: 6143:Robert Lee Moore 6138: 6130: 6122: 6114: 6106: 6098: 6079: 6071: 6063: 6055: 6047: 6039: 6031: 6023: 6015: 6007: 5999: 5991: 5972: 5964: 5956: 5948: 5945:Emory McClintock 5940: 5914: 5907: 5900: 5891: 5890: 5863:Matthew Crawford 5751:Andrew Granville 5723:Edward B. Burger 5681:Michael I. Rosen 5641:Peter B. Borwein 5627:Steven G. Krantz 5563:Kenneth I. Gross 5533:Lawrence Zalcman 5447:Richard H. Bruck 5367: 5360: 5353: 5344: 5343: 5152:Gilbert F. White 5097:George Wetherill 4991:Allan M. Cormack 4949:Jack Steinberger 4929:D. Allan Bromley 4878:H. Richard Crane 4855:Frederick Reines 4845:Helmut Landsberg 4760:George Uhlenbeck 4661:Vladimir Haensel 4623:Allan R. Sandage 4594:Herbert C. Brown 4576:Herbert Friedman 4502:Leon M. Lederman 4474:Julian Schwinger 4453: 4452: 4442: 4441: 4411:Alexandre Chorin 4385:Richard A. Tapia 4366:David B. Mumford 4194:Alberto Calderón 4139:Joseph B. Keller 4126:Michael Freedman 4095:Herman Goldstine 3949:H. Marston Morse 3923: 3922: 3912: 3911: 3851:Rudolf E. Kálmán 3835:Robert S. Langer 3827:Jan D. Achenbach 3660:Herbert E. Grier 3411:Igor I. Sikorsky 3372:Othmar H. Ammann 3333: 3332: 3322: 3321: 3288:Jerrold Meinwald 3057:Norman Hackerman 3036:Glenn T. Seaborg 2951:William O. Baker 2879:F. Albert Cotton 2847: 2846: 2836: 2835: 2813:Mary-Claire King 2706:Bert W. O'Malley 2662:Thomas E. Starzl 2657:Phillip A. Sharp 2644:Charles Yanofsky 2626:Evelyn M. Witkin 2621:James E. Darnell 2447:Paul C. Zamecnik 2412:Mary Ellen Avery 2384:Herbert W. Boyer 2379:Baruj Benacerraf 2350:Joshua Lederberg 2340:Viktor Hamburger 2302:Michael S. Brown 2148:Robert H. Burris 1903: 1902: 1892: 1891: 1839:Mortimer Mishkin 1764:William K. Estes 1748:Roger N. Shepard 1740:Robert K. Merton 1724:George A. Miller 1671:Herbert A. Simon 1639: 1638: 1628: 1627: 1610: 1603: 1596: 1587: 1586: 1568:Kutateladze S.S. 1541: 1511: 1491:Lawvere, William 1485: 1452: 1425: 1420:, archived from 1355: 1311:A History in Sum 1293: 1292: 1290: 1288: 1277: 1271: 1270: 1268: 1266: 1251: 1245: 1244: 1234: 1222: 1216: 1215: 1214:(10): 1134–1138. 1205: 1196: 1190: 1187: 1181: 1179: 1163: 1144: 1143: 1141: 1139: 1124: 1118: 1117: 1085: 1079: 1078: 1051:"Modular Fields" 1046: 996: 986: 907:Garrett Birkhoff 871: 834:Garrett Birkhoff 811:Garrett Birkhoff 776:abstract algebra 753:group cohomology 726:group extensions 722:field extensions 710:valuation theory 694:Samuel Eilenberg 607:Samuel Eilenberg 426:Samuel Eilenberg 402:John G. Thompson 382:Irving Kaplansky 351:Doctoral advisor 244:Standard complex 174: 155: 153: 137: 123: 122: 114: 107: 103: 100: 94: 92: 51: 27: 19: 6653: 6652: 6648: 6647: 6646: 6644: 6643: 6642: 6533: 6532: 6531: 6526: 6518: 6510: 6502: 6494: 6486: 6478: 6470: 6462: 6454: 6446: 6438: 6430: 6419: 6411: 6403: 6395: 6387: 6379: 6373:William Browder 6371: 6363: 6355: 6347: 6339: 6331: 6323: 6315: 6304: 6296: 6290:Nathan Jacobson 6288: 6280: 6272: 6264: 6256: 6248: 6240: 6232: 6224: 6216: 6208: 6197: 6191:Joseph L. Walsh 6189: 6181: 6173: 6165: 6157: 6149: 6141: 6133: 6125: 6117: 6109: 6101: 6093: 6082: 6074: 6066: 6058: 6050: 6042: 6034: 6026: 6018: 6010: 6002: 5994: 5986: 5975: 5967: 5959: 5951: 5943: 5935: 5924: 5918: 5888: 5883: 5879:Jeffrey Whitmer 5849:Travis Kowalski 5815:Donald R. Smith 5735:Florian Pfender 5717:Thomas C. Hales 5653:Donald G. Saari 5633:David H. Bailey 5505:François Trèves 5499:Norman Levinson 5459:Philip J. Davis 5377: 5374:Chauvenet Prize 5371: 5341: 5328: 5316:Sean C. Solomon 5278: 5230:Daniel Kleppner 5222:Lonnie Thompson 5217:Ralph A. Alpher 5183:W. Jason Morgan 5170:Charles Keeling 5160:Marvin L. Cohen 5127: 5110:John N. Bahcall 5105:Don L. Anderson 5071:Peter Goldreich 5024:Steven Weinberg 4976: 4906:Walter Elsasser 4883:Herman Feshbach 4797: 4735:Samuel Goudsmit 4727:Chien-Shiung Wu 4666:Frederick Seitz 4633:John A. Wheeler 4618:Robert H. Dicke 4603: 4466:Luis W. Alvarez 4447: 4428: 4416:David Blackwell 4370: 4321:Carl R. de Boor 4292:Karen Uhlenbeck 4272: 4226:Louis Nirenberg 4161: 4134:Ralph E. Gomory 4072: 4068:Donald E. Knuth 4055:Hassler Whitney 3993: 3917: 3898: 3863: 3795:Andreas Acrivos 3772: 3760:Eli Ruckenstein 3739:Hermann A. Haus 3710:Calvin F. Quate 3697:Luna B. Leopold 3664: 3555: 3541:Robert N. Noyce 3531:Emmett N. Leith 3490:Manson Benedict 3472:Rudolf Kompfner 3436: 3390:Warren K. Lewis 3327: 3308: 3242: 3204:Peter B. Dervan 3175:John I. Brauman 3134: 3086:Norman Davidson 3013:John D. Roberts 2988: 2956:Konrad E. Bloch 2902:Richard N. Zare 2864: 2841: 2822: 2779:Sallie Chisholm 2761:Rudolf Jaenisch 2741: 2724:J. Craig Venter 2683:Rita R. Colwell 2550: 2536:David Baltimore 2427:Robert W. Kates 2399:David G. Nathan 2394:Edward B. Lewis 2364: 2360:Harland G. Wood 2355:Roger W. Sperry 2210:Glenn W. Burton 2182: 2158:Arthur Kornberg 2125:Roger Guillemin 2102:Hallowell Davis 2066:Daniel I. Arnon 2058:Albert B. Sabin 2038: 2011:Detlev W. Bronk 1983:Harry F. Harlow 1978:Kenneth S. Cole 1965:William C. Rose 1937:Francis P. Rous 1897: 1878: 1843: 1823:Gordon H. Bower 1784: 1780:Robert M. Solow 1696: 1692:Milton Friedman 1656: 1633: 1622: 1614: 1562:Wayback Machine 1519: 1509: 1450:10.1.1.828.5753 1375: 1329: 1307:Yau, Shing-Tung 1301: 1296: 1286: 1284: 1278: 1274: 1264: 1262: 1252: 1248: 1232: 1223: 1219: 1203: 1197: 1193: 1188: 1184: 1172:Reid, Constance 1164: 1147: 1137: 1135: 1125: 1121: 1106:10.2307/2302916 1086: 1082: 1067:10.2307/2302685 1047: 1043: 1039: 1017: 984: 980: 896:David Buchsbaum 854: 836:). A K Peters. 825: 768:category theory 764:homology theory 714:valuation rings 686: 587:Yale University 583: 571:Gustav Herglotz 509:Irving Langmuir 493:Ernest Lawrence 477:Yale University 446:Rice University 434: 422:category theory 400: 396: 392: 388: 384: 380: 376: 372: 358: 342: 338: 334: 320: 316: 294: 289: 286:Chauvenet Prize 266: 262: 258: 254: 250: 246: 242: 240:Shuffle algebra 238: 236:Category theory 234: 215: 206: 199:Yale University 195:Alma mater 182: 176: 172: 163: 157: 151: 149: 148: 147: 128: 115: 104: 98: 95: 52: 50: 40: 28: 17: 12: 11: 5: 6651: 6641: 6640: 6635: 6630: 6625: 6620: 6615: 6610: 6605: 6600: 6595: 6590: 6585: 6580: 6575: 6570: 6565: 6560: 6555: 6550: 6545: 6528: 6527: 6525: 6524: 6516: 6508: 6500: 6492: 6484: 6476: 6468: 6464:George Andrews 6460: 6452: 6444: 6440:David Eisenbud 6436: 6427: 6425: 6421: 6420: 6418: 6417: 6409: 6401: 6393: 6385: 6377: 6369: 6361: 6353: 6349:Julia Robinson 6345: 6337: 6329: 6321: 6312: 6310: 6306: 6305: 6303: 6302: 6294: 6286: 6278: 6270: 6262: 6258:Joseph L. Doob 6254: 6246: 6238: 6234:Richard Brauer 6230: 6222: 6214: 6205: 6203: 6199: 6198: 6196: 6195: 6187: 6179: 6171: 6163: 6155: 6147: 6139: 6131: 6123: 6115: 6107: 6099: 6090: 6088: 6084: 6083: 6081: 6080: 6072: 6064: 6056: 6048: 6040: 6032: 6024: 6016: 6008: 6000: 5992: 5983: 5981: 5977: 5976: 5974: 5973: 5965: 5957: 5949: 5941: 5932: 5930: 5926: 5925: 5917: 5916: 5909: 5902: 5894: 5885: 5884: 5882: 5881: 5875: 5873:Jonas Eliasson 5869:Kimmo Eriksson 5865: 5855:William Dunham 5851: 5845: 5835: 5829: 5823: 5821:Mark Schilling 5817: 5807: 5805:Dana Mackenzie 5801: 5795: 5789: 5775:Dennis DeTurck 5771: 5765: 5759: 5757:Harold P. Boas 5753: 5747: 5741: 5731: 5729:John Stillwell 5725: 5719: 5713: 5699: 5689: 5683: 5677: 5667: 5661: 5655: 5649: 5643: 5629: 5623: 5613: 5607: 5605:Jacob Korevaar 5601: 5595: 5589: 5583: 5581:Carl Pomerance 5577: 5571: 5568: 5565: 5559: 5553: 5547: 5541: 5535: 5529: 5519: 5513: 5507: 5501: 5495: 5489: 5483: 5477: 5467: 5461: 5455: 5449: 5443: 5437: 5431: 5425: 5419: 5413: 5407: 5405:Dunham Jackson 5401: 5395: 5389: 5382: 5379: 5378: 5370: 5369: 5362: 5355: 5347: 5338: 5337: 5334: 5333: 5330: 5329: 5327: 5326: 5321: 5318: 5313: 5311:Burton Richter 5308: 5305: 5300: 5295: 5290: 5286: 5284: 5280: 5279: 5277: 5276: 5271: 5266: 5264:Yakir Aharonov 5261: 5258: 5253: 5248: 5245: 5240: 5235: 5232: 5227: 5224: 5219: 5214: 5211: 5206: 5203: 5198: 5193: 5190: 5185: 5180: 5178:Richard Garwin 5175: 5172: 5167: 5162: 5157: 5154: 5149: 5144: 5142:Willis E. Lamb 5139: 5135: 5133: 5129: 5128: 5126: 5125: 5120: 5115: 5112: 5107: 5102: 5099: 5094: 5089: 5084: 5081: 5076: 5073: 5068: 5063: 5060: 5055: 5050: 5047: 5042: 5037: 5034: 5029: 5026: 5021: 5016: 5011: 5008: 5003: 4998: 4993: 4988: 4984: 4982: 4978: 4977: 4975: 4974: 4969: 4964: 4959: 4954: 4951: 4946: 4941: 4936: 4931: 4926: 4923: 4918: 4913: 4908: 4903: 4901:Philip Abelson 4898: 4895: 4893:Chen-Ning Yang 4890: 4885: 4880: 4875: 4870: 4867: 4862: 4860:Bruno B. Rossi 4857: 4852: 4847: 4842: 4837: 4832: 4829: 4824: 4819: 4817:Yoichiro Nambu 4814: 4809: 4805: 4803: 4799: 4798: 4796: 4795: 4790: 4785: 4780: 4775: 4770: 4765: 4762: 4757: 4752: 4747: 4742: 4737: 4732: 4729: 4724: 4719: 4714: 4709: 4704: 4701: 4696: 4691: 4686: 4681: 4676: 4673: 4668: 4663: 4658: 4653: 4648: 4643: 4640: 4635: 4630: 4628:John C. Slater 4625: 4620: 4615: 4611: 4609: 4605: 4604: 4602: 4601: 4596: 4591: 4588: 4583: 4578: 4573: 4568: 4565: 4560: 4555: 4550: 4545: 4540: 4537: 4532: 4527: 4522: 4517: 4515:Jacob Bjerknes 4512: 4509: 4504: 4499: 4494: 4489: 4486: 4481: 4476: 4471: 4468: 4463: 4459: 4457: 4449: 4448: 4438: 4437: 4434: 4433: 4430: 4429: 4427: 4426: 4421: 4418: 4413: 4408: 4405: 4400: 4395: 4392: 4387: 4382: 4378: 4376: 4372: 4371: 4369: 4368: 4363: 4360: 4355: 4350: 4347: 4342: 4339: 4334: 4331: 4326: 4323: 4318: 4315: 4313:James G. Glimm 4310: 4307: 4305:Elias M. Stein 4302: 4297: 4294: 4289: 4284: 4280: 4278: 4274: 4273: 4271: 4270: 4265: 4260: 4257: 4252: 4249: 4247:Shing-Tung Yau 4244: 4241: 4236: 4231: 4228: 4223: 4220: 4215: 4212: 4207: 4204: 4199: 4196: 4191: 4188: 4183: 4178: 4173: 4169: 4167: 4163: 4162: 4160: 4159: 4154: 4149: 4144: 4141: 4136: 4131: 4128: 4123: 4118: 4115: 4113:Antoni Zygmund 4110: 4105: 4102: 4100:Isadore Singer 4097: 4092: 4089: 4084: 4080: 4078: 4074: 4073: 4071: 4070: 4065: 4063:Joseph L. Doob 4060: 4057: 4052: 4047: 4044: 4042:George Dantzig 4039: 4034: 4032:John W. Backus 4029: 4026: 4021: 4018: 4013: 4010: 4008:Richard Brauer 4005: 4001: 3999: 3995: 3994: 3992: 3991: 3989:William Feller 3986: 3983: 3978: 3975: 3970: 3967: 3962: 3959: 3954: 3951: 3946: 3941: 3938: 3936:Norbert Wiener 3933: 3929: 3927: 3919: 3918: 3908: 3907: 3904: 3903: 3900: 3899: 3897: 3896: 3894:Thomas Kailath 3891: 3888: 3883: 3880: 3875: 3871: 3869: 3865: 3864: 3862: 3861: 3856: 3853: 3848: 3845: 3840: 3837: 3832: 3829: 3824: 3821: 3816: 3813: 3808: 3805: 3800: 3797: 3792: 3789: 3784: 3780: 3778: 3774: 3773: 3771: 3770: 3765: 3762: 3757: 3754: 3749: 3744: 3741: 3736: 3733: 3728: 3725: 3720: 3717: 3712: 3707: 3704: 3699: 3694: 3689: 3686: 3681: 3676: 3672: 3670: 3666: 3665: 3663: 3662: 3657: 3652: 3649: 3644: 3639: 3634: 3631: 3626: 3624:H. Bolton Seed 3621: 3616: 3613: 3608: 3603: 3598: 3595: 3590: 3585: 3580: 3577: 3575:Donald L. Katz 3572: 3567: 3563: 3561: 3557: 3556: 3554: 3553: 3548: 3546:Earl R. Parker 3543: 3538: 3533: 3528: 3525: 3520: 3515: 3510: 3507: 3502: 3497: 3492: 3487: 3484: 3479: 3474: 3469: 3466: 3461: 3456: 3453: 3448: 3444: 3442: 3438: 3437: 3435: 3434: 3429: 3426: 3421: 3416: 3413: 3408: 3403: 3400: 3395: 3392: 3387: 3382: 3380:Hugh L. Dryden 3377: 3374: 3369: 3364: 3361: 3356: 3351: 3348: 3343: 3339: 3337: 3329: 3328: 3318: 3317: 3314: 3313: 3310: 3309: 3307: 3306: 3301: 3298: 3293: 3290: 3285: 3280: 3277: 3272: 3267: 3264: 3262:Peter J. Stang 3259: 3254: 3250: 3248: 3244: 3243: 3241: 3240: 3238:Marye Anne Fox 3235: 3230: 3227: 3222: 3217: 3214: 3209: 3206: 3201: 3196: 3193: 3191:Tobin J. Marks 3188: 3185: 3180: 3177: 3172: 3169: 3164: 3159: 3156: 3151: 3146: 3142: 3140: 3136: 3135: 3133: 3132: 3127: 3122: 3120:Stuart A. Rice 3117: 3114: 3109: 3104: 3101: 3096: 3091: 3088: 3083: 3080: 3075: 3070: 3067: 3062: 3059: 3054: 3052:Donald J. Cram 3049: 3046: 3041: 3038: 3033: 3028: 3023: 3021:Ronald Breslow 3018: 3015: 3010: 3005: 3000: 2996: 2994: 2990: 2989: 2987: 2986: 2981: 2976: 2971: 2966: 2963: 2961:Elias J. Corey 2958: 2953: 2948: 2945: 2940: 2935: 2930: 2927: 2922: 2920:Carl S. Marvel 2917: 2912: 2907: 2904: 2899: 2894: 2892:Roald Hoffmann 2889: 2886: 2881: 2876: 2872: 2870: 2866: 2865: 2863: 2862: 2857: 2853: 2851: 2843: 2842: 2832: 2831: 2828: 2827: 2824: 2823: 2821: 2820: 2815: 2810: 2808:Stanley Falkow 2805: 2802: 2800:Rakesh K. Jain 2797: 2794: 2789: 2784: 2781: 2776: 2771: 2766: 2763: 2758: 2753: 2749: 2747: 2743: 2742: 2740: 2739: 2734: 2729: 2726: 2721: 2716: 2711: 2708: 2703: 2698: 2695: 2690: 2685: 2680: 2677: 2672: 2667: 2664: 2659: 2654: 2649: 2646: 2641: 2636: 2631: 2628: 2623: 2618: 2615: 2610: 2605: 2603:Gene E. Likens 2600: 2595: 2590: 2588:George F. Bass 2585: 2580: 2577: 2572: 2570:Peter H. Raven 2567: 2562: 2558: 2556: 2552: 2551: 2549: 2548: 2543: 2538: 2533: 2530: 2525: 2520: 2517: 2512: 2507: 2504: 2499: 2496: 2494:Alexander Rich 2491: 2488: 2483: 2478: 2475: 2470: 2468:Daniel Nathans 2465: 2462: 2457: 2452: 2449: 2444: 2442:Folke K. Skoog 2439: 2434: 2432:Salvador Luria 2429: 2424: 2422:Elvin A. Kabat 2419: 2414: 2409: 2406: 2401: 2396: 2391: 2386: 2381: 2376: 2372: 2370: 2366: 2365: 2363: 2362: 2357: 2352: 2347: 2342: 2337: 2335:Katherine Esau 2332: 2329: 2324: 2322:Eric R. Kandel 2319: 2314: 2309: 2304: 2299: 2296: 2291: 2286: 2281: 2276: 2271: 2268: 2266:Joan A. Steitz 2263: 2258: 2253: 2248: 2243: 2240: 2238:Berta Scharrer 2235: 2230: 2225: 2220: 2217: 2212: 2207: 2205:Seymour Benzer 2202: 2199: 2197:Philip Handler 2194: 2190: 2188: 2184: 2183: 2181: 2180: 2175: 2170: 2165: 2160: 2155: 2150: 2145: 2142: 2137: 2132: 2127: 2122: 2119: 2114: 2109: 2104: 2099: 2096: 2091: 2086: 2084:Erwin Chargaff 2081: 2079:Britton Chance 2076: 2073: 2068: 2063: 2060: 2055: 2050: 2046: 2044: 2040: 2039: 2037: 2036: 2031: 2029:Robert Huebner 2026: 2023: 2018: 2013: 2008: 2003: 1998: 1995: 1990: 1985: 1980: 1975: 1972: 1967: 1962: 1957: 1952: 1949: 1944: 1939: 1934: 1931: 1926: 1921: 1918: 1916:C. B. van Niel 1913: 1909: 1907: 1899: 1898: 1888: 1887: 1884: 1883: 1880: 1879: 1877: 1876: 1874:Albert Bandura 1871: 1868: 1866:Robert Axelrod 1863: 1860: 1855: 1851: 1849: 1845: 1844: 1842: 1841: 1836: 1833: 1828: 1825: 1820: 1817: 1812: 1809: 1807:R. Duncan Luce 1804: 1801: 1796: 1792: 1790: 1786: 1785: 1783: 1782: 1777: 1774: 1769: 1766: 1761: 1758: 1756:Paul Samuelson 1753: 1750: 1745: 1742: 1737: 1734: 1729: 1726: 1721: 1718: 1716:Patrick Suppes 1713: 1711:Leonid Hurwicz 1708: 1704: 1702: 1698: 1697: 1695: 1694: 1689: 1686: 1681: 1676: 1673: 1668: 1664: 1662: 1658: 1657: 1655: 1654: 1649: 1645: 1643: 1635: 1634: 1624: 1623: 1613: 1612: 1605: 1598: 1590: 1584: 1583: 1574: 1565: 1552: 1542: 1518: 1517:External links 1515: 1514: 1513: 1508:978-0684315591 1507: 1487: 1431:McLarty, Colin 1427: 1396:(3): 237–251, 1392:, Series III, 1380:McLarty, Colin 1374: 1371: 1370: 1369: 1327: 1305:Nadis, Steve; 1300: 1297: 1295: 1294: 1272: 1246: 1228:(April 1996). 1217: 1191: 1182: 1145: 1119: 1080: 1040: 1038: 1035: 1034: 1033: 1028: 1023: 1016: 1013: 1012: 1011: 1003:. A K Peters. 997: 995:(10): 1134–38. 977: 953: 937: 917: 899: 872: 851: 844: 824: 823:Selected works 821: 742:homotopy group 712:. He wrote on 685: 682: 631:Marshall Stone 582: 579: 481:Lester S. Hill 433: 430: 409: 408: 405: 404: 398:Robert Solovay 378:William Howard 374:David Eisenbud 367: 363: 362: 353: 347: 346: 329: 325: 324: 311: 307: 306: 300: 299: 283: 279: 278: 275: 271: 270: 229: 228:Known for 225: 224: 196: 192: 191: 188: 184: 183: 177: 175:(aged 95) 169: 165: 164: 158: 145: 143: 139: 138: 130: 129: 126: 117: 116: 31: 29: 22: 15: 9: 6: 4: 3: 2: 6650: 6639: 6636: 6634: 6631: 6629: 6626: 6624: 6621: 6619: 6616: 6614: 6611: 6609: 6606: 6604: 6601: 6599: 6596: 6594: 6591: 6589: 6586: 6584: 6581: 6579: 6576: 6574: 6571: 6569: 6566: 6564: 6561: 6559: 6556: 6554: 6551: 6549: 6546: 6544: 6541: 6540: 6538: 6521: 6517: 6513: 6509: 6505: 6501: 6497: 6493: 6489: 6488:Robert Bryant 6485: 6481: 6477: 6473: 6469: 6465: 6461: 6457: 6453: 6449: 6445: 6441: 6437: 6433: 6429: 6428: 6426: 6422: 6414: 6413:Felix Browder 6410: 6406: 6402: 6398: 6394: 6390: 6389:Ronald Graham 6386: 6382: 6381:Michael Artin 6378: 6374: 6370: 6366: 6365:George Mostow 6362: 6358: 6354: 6350: 6346: 6342: 6338: 6334: 6330: 6326: 6322: 6318: 6314: 6313: 6311: 6307: 6299: 6295: 6291: 6287: 6283: 6282:Oscar Zariski 6279: 6275: 6271: 6267: 6263: 6259: 6255: 6251: 6247: 6243: 6239: 6235: 6231: 6227: 6223: 6219: 6215: 6211: 6207: 6206: 6204: 6200: 6192: 6188: 6184: 6180: 6176: 6172: 6168: 6164: 6160: 6159:Marston Morse 6156: 6152: 6148: 6144: 6140: 6136: 6132: 6128: 6124: 6120: 6116: 6112: 6108: 6104: 6103:Virgil Snyder 6100: 6096: 6092: 6091: 6089: 6085: 6077: 6076:Oswald Veblen 6073: 6069: 6065: 6061: 6057: 6053: 6049: 6045: 6041: 6037: 6033: 6029: 6025: 6021: 6020:Maxime Bôcher 6017: 6013: 6009: 6005: 6001: 5997: 5993: 5989: 5985: 5984: 5982: 5978: 5970: 5966: 5962: 5961:Simon Newcomb 5958: 5954: 5950: 5946: 5942: 5938: 5934: 5933: 5931: 5927: 5923: 5915: 5910: 5908: 5903: 5901: 5896: 5895: 5892: 5880: 5876: 5874: 5870: 5866: 5864: 5860: 5856: 5852: 5850: 5846: 5844: 5840: 5836: 5834: 5830: 5828: 5824: 5822: 5818: 5816: 5812: 5808: 5806: 5802: 5800: 5796: 5794: 5793:Robert Ghrist 5790: 5788: 5784: 5780: 5776: 5772: 5770: 5766: 5764: 5760: 5758: 5754: 5752: 5748: 5746: 5742: 5740: 5736: 5732: 5730: 5726: 5724: 5720: 5718: 5714: 5712: 5708: 5704: 5703:Ellen Gethner 5700: 5698: 5697:David L. Webb 5694: 5690: 5688: 5684: 5682: 5678: 5676: 5672: 5668: 5666: 5662: 5660: 5656: 5654: 5650: 5648: 5644: 5642: 5638: 5634: 5630: 5628: 5624: 5622: 5618: 5614: 5612: 5608: 5606: 5602: 5600: 5599:Stephen Smale 5596: 5594: 5590: 5588: 5584: 5582: 5578: 5576: 5572: 5569: 5566: 5564: 5560: 5558: 5554: 5552: 5548: 5546: 5542: 5540: 5536: 5534: 5530: 5528: 5524: 5520: 5518: 5514: 5512: 5508: 5506: 5502: 5500: 5496: 5494: 5490: 5488: 5484: 5482: 5478: 5476: 5472: 5468: 5466: 5462: 5460: 5456: 5454: 5450: 5448: 5444: 5442: 5441:E. J. McShane 5438: 5436: 5432: 5430: 5426: 5424: 5423:R. H. Cameron 5420: 5418: 5414: 5412: 5411:G. T. Whyburn 5408: 5406: 5402: 5400: 5396: 5394: 5390: 5388: 5384: 5383: 5380: 5375: 5368: 5363: 5361: 5356: 5354: 5349: 5348: 5345: 5325: 5322: 5319: 5317: 5314: 5312: 5309: 5306: 5304: 5301: 5299: 5296: 5294: 5291: 5288: 5287: 5285: 5281: 5275: 5272: 5270: 5267: 5265: 5262: 5259: 5257: 5256:James E. Gunn 5254: 5252: 5249: 5246: 5244: 5241: 5239: 5236: 5233: 5231: 5228: 5225: 5223: 5220: 5218: 5215: 5212: 5210: 5207: 5204: 5202: 5199: 5197: 5194: 5191: 5189: 5188:Edward Witten 5186: 5184: 5181: 5179: 5176: 5173: 5171: 5168: 5166: 5163: 5161: 5158: 5155: 5153: 5150: 5148: 5145: 5143: 5140: 5137: 5136: 5134: 5130: 5124: 5121: 5119: 5116: 5113: 5111: 5108: 5106: 5103: 5100: 5098: 5095: 5093: 5090: 5088: 5085: 5082: 5080: 5077: 5074: 5072: 5069: 5067: 5064: 5061: 5059: 5056: 5054: 5051: 5048: 5046: 5043: 5041: 5038: 5035: 5033: 5030: 5027: 5025: 5022: 5020: 5017: 5015: 5012: 5009: 5007: 5006:Roger Revelle 5004: 5002: 4999: 4997: 4994: 4992: 4989: 4986: 4985: 4983: 4979: 4973: 4972:Henry Stommel 4970: 4968: 4965: 4963: 4962:Eugene Parker 4960: 4958: 4955: 4952: 4950: 4947: 4945: 4942: 4940: 4937: 4935: 4932: 4930: 4927: 4924: 4922: 4919: 4917: 4914: 4912: 4909: 4907: 4904: 4902: 4899: 4896: 4894: 4891: 4889: 4886: 4884: 4881: 4879: 4876: 4874: 4871: 4868: 4866: 4863: 4861: 4858: 4856: 4853: 4851: 4848: 4846: 4843: 4841: 4838: 4836: 4833: 4830: 4828: 4825: 4823: 4822:Edward Teller 4820: 4818: 4815: 4813: 4810: 4807: 4806: 4804: 4800: 4794: 4791: 4789: 4788:Lyman Spitzer 4786: 4784: 4781: 4779: 4776: 4774: 4771: 4769: 4766: 4763: 4761: 4758: 4756: 4753: 4751: 4748: 4746: 4743: 4741: 4738: 4736: 4733: 4730: 4728: 4725: 4723: 4720: 4718: 4715: 4713: 4710: 4708: 4707:Hans A. Bethe 4705: 4702: 4700: 4697: 4695: 4692: 4690: 4687: 4685: 4682: 4680: 4677: 4674: 4672: 4669: 4667: 4664: 4662: 4659: 4657: 4654: 4652: 4651:Maurice Ewing 4649: 4647: 4646:Carl Djerassi 4644: 4641: 4639: 4638:Saul Winstein 4636: 4634: 4631: 4629: 4626: 4624: 4621: 4619: 4616: 4613: 4612: 4610: 4606: 4600: 4597: 4595: 4592: 4589: 4587: 4586:Eugene Wigner 4584: 4582: 4579: 4577: 4574: 4572: 4571:Paul Bartlett 4569: 4566: 4564: 4561: 4559: 4558:Louis Hammett 4556: 4554: 4553:Gregory Breit 4551: 4549: 4548:Francis Birch 4546: 4544: 4541: 4538: 4536: 4533: 4531: 4528: 4526: 4523: 4521: 4518: 4516: 4513: 4510: 4508: 4507:William Rubey 4505: 4503: 4500: 4498: 4495: 4493: 4490: 4487: 4485: 4482: 4480: 4477: 4475: 4472: 4469: 4467: 4464: 4461: 4460: 4458: 4454: 4450: 4443: 4439: 4425: 4424:Michael Artin 4422: 4419: 4417: 4414: 4412: 4409: 4406: 4404: 4401: 4399: 4396: 4393: 4391: 4388: 4386: 4383: 4380: 4379: 4377: 4373: 4367: 4364: 4361: 4359: 4356: 4354: 4351: 4348: 4346: 4343: 4340: 4338: 4337:Bradley Efron 4335: 4332: 4330: 4327: 4324: 4322: 4319: 4316: 4314: 4311: 4308: 4306: 4303: 4301: 4298: 4295: 4293: 4290: 4288: 4285: 4282: 4281: 4279: 4275: 4269: 4266: 4264: 4263:Felix Browder 4261: 4258: 4256: 4253: 4250: 4248: 4245: 4242: 4240: 4239:Stephen Smale 4237: 4235: 4232: 4229: 4227: 4224: 4221: 4219: 4216: 4213: 4211: 4208: 4205: 4203: 4200: 4197: 4195: 4192: 4189: 4187: 4186:John McCarthy 4184: 4182: 4179: 4177: 4174: 4171: 4170: 4168: 4164: 4158: 4155: 4153: 4150: 4148: 4147:Samuel Karlin 4145: 4142: 4140: 4137: 4135: 4132: 4129: 4127: 4124: 4122: 4119: 4116: 4114: 4111: 4109: 4106: 4103: 4101: 4098: 4096: 4093: 4090: 4088: 4085: 4082: 4081: 4079: 4075: 4069: 4066: 4064: 4061: 4058: 4056: 4053: 4051: 4048: 4045: 4043: 4040: 4038: 4035: 4033: 4030: 4027: 4025: 4022: 4019: 4017: 4014: 4011: 4009: 4006: 4003: 4002: 4000: 3996: 3990: 3987: 3984: 3982: 3979: 3976: 3974: 3971: 3968: 3966: 3963: 3960: 3958: 3957:Oscar Zariski 3955: 3952: 3950: 3947: 3945: 3942: 3939: 3937: 3934: 3931: 3930: 3928: 3924: 3920: 3913: 3909: 3895: 3892: 3889: 3887: 3884: 3881: 3879: 3876: 3873: 3872: 3870: 3866: 3860: 3857: 3854: 3852: 3849: 3846: 3844: 3841: 3838: 3836: 3833: 3830: 3828: 3825: 3822: 3820: 3817: 3814: 3812: 3809: 3806: 3804: 3801: 3798: 3796: 3793: 3790: 3788: 3785: 3782: 3781: 3779: 3775: 3769: 3766: 3763: 3761: 3758: 3755: 3753: 3750: 3748: 3745: 3742: 3740: 3737: 3734: 3732: 3731:Ray W. Clough 3729: 3726: 3724: 3723:Alfred Y. Cho 3721: 3718: 3716: 3713: 3711: 3708: 3705: 3703: 3700: 3698: 3695: 3693: 3690: 3687: 3685: 3682: 3680: 3677: 3674: 3673: 3671: 3667: 3661: 3658: 3656: 3653: 3650: 3648: 3645: 3643: 3640: 3638: 3635: 3632: 3630: 3627: 3625: 3622: 3620: 3617: 3614: 3612: 3609: 3607: 3604: 3602: 3599: 3596: 3594: 3593:John G. Trump 3591: 3589: 3586: 3584: 3581: 3578: 3576: 3573: 3571: 3568: 3565: 3564: 3562: 3558: 3552: 3549: 3547: 3544: 3542: 3539: 3537: 3534: 3532: 3529: 3526: 3524: 3521: 3519: 3516: 3514: 3511: 3508: 3506: 3503: 3501: 3498: 3496: 3493: 3491: 3488: 3485: 3483: 3480: 3478: 3475: 3473: 3470: 3467: 3465: 3462: 3460: 3457: 3454: 3452: 3449: 3446: 3445: 3443: 3439: 3433: 3430: 3427: 3425: 3422: 3420: 3417: 3414: 3412: 3409: 3407: 3406:Edwin H. Land 3404: 3401: 3399: 3396: 3393: 3391: 3388: 3386: 3383: 3381: 3378: 3375: 3373: 3370: 3368: 3365: 3362: 3360: 3357: 3355: 3354:Vannevar Bush 3352: 3349: 3347: 3344: 3341: 3340: 3338: 3334: 3330: 3323: 3319: 3305: 3302: 3299: 3297: 3294: 3291: 3289: 3286: 3284: 3281: 3278: 3276: 3273: 3271: 3270:Allen J. Bard 3268: 3265: 3263: 3260: 3258: 3255: 3252: 3251: 3249: 3245: 3239: 3236: 3234: 3231: 3228: 3226: 3225:JoAnne Stubbe 3223: 3221: 3220:Joanna Fowler 3218: 3215: 3213: 3210: 3207: 3205: 3202: 3200: 3197: 3194: 3192: 3189: 3186: 3184: 3181: 3178: 3176: 3173: 3170: 3168: 3165: 3163: 3160: 3157: 3155: 3152: 3150: 3147: 3144: 3143: 3141: 3137: 3131: 3130:Susan Solomon 3128: 3126: 3123: 3121: 3118: 3115: 3113: 3110: 3108: 3105: 3102: 3100: 3097: 3095: 3092: 3089: 3087: 3084: 3081: 3079: 3076: 3074: 3071: 3068: 3066: 3063: 3060: 3058: 3055: 3053: 3050: 3047: 3045: 3042: 3039: 3037: 3034: 3032: 3029: 3027: 3024: 3022: 3019: 3016: 3014: 3011: 3009: 3006: 3004: 3001: 2998: 2997: 2995: 2991: 2985: 2982: 2980: 2977: 2975: 2974:Melvin Calvin 2972: 2970: 2967: 2964: 2962: 2959: 2957: 2954: 2952: 2949: 2946: 2944: 2941: 2939: 2936: 2934: 2931: 2928: 2926: 2923: 2921: 2918: 2916: 2915:Yuan Tseh Lee 2913: 2911: 2910:Harry B. Gray 2908: 2905: 2903: 2900: 2898: 2895: 2893: 2890: 2887: 2885: 2884:Gilbert Stork 2882: 2880: 2877: 2874: 2873: 2871: 2867: 2861: 2858: 2855: 2854: 2852: 2848: 2844: 2837: 2833: 2819: 2816: 2814: 2811: 2809: 2806: 2803: 2801: 2798: 2795: 2793: 2792:Bruce Alberts 2790: 2788: 2787:May Berenbaum 2785: 2782: 2780: 2777: 2775: 2772: 2770: 2767: 2764: 2762: 2759: 2757: 2754: 2751: 2750: 2748: 2744: 2738: 2735: 2733: 2730: 2727: 2725: 2722: 2720: 2717: 2715: 2712: 2709: 2707: 2704: 2702: 2699: 2696: 2694: 2693:Lubert Stryer 2691: 2689: 2688:Nina Fedoroff 2686: 2684: 2681: 2678: 2676: 2673: 2671: 2670:Anthony Fauci 2668: 2665: 2663: 2660: 2658: 2655: 2653: 2650: 2647: 2645: 2642: 2640: 2637: 2635: 2632: 2629: 2627: 2624: 2622: 2619: 2616: 2614: 2613:Harold Varmus 2611: 2609: 2606: 2604: 2601: 2599: 2596: 2594: 2591: 2589: 2586: 2584: 2581: 2578: 2576: 2573: 2571: 2568: 2566: 2563: 2560: 2559: 2557: 2553: 2547: 2546:Lynn Margulis 2544: 2542: 2541:Jared Diamond 2539: 2537: 2534: 2531: 2529: 2526: 2524: 2521: 2518: 2516: 2513: 2511: 2508: 2505: 2503: 2500: 2497: 2495: 2492: 2489: 2487: 2484: 2482: 2481:Thomas Eisner 2479: 2476: 2474: 2471: 2469: 2466: 2463: 2461: 2458: 2456: 2455:Maxine Singer 2453: 2450: 2448: 2445: 2443: 2440: 2438: 2437:Paul A. Marks 2435: 2433: 2430: 2428: 2425: 2423: 2420: 2418: 2415: 2413: 2410: 2407: 2405: 2402: 2400: 2397: 2395: 2392: 2390: 2387: 2385: 2382: 2380: 2377: 2374: 2373: 2371: 2367: 2361: 2358: 2356: 2353: 2351: 2348: 2346: 2343: 2341: 2338: 2336: 2333: 2330: 2328: 2325: 2323: 2320: 2318: 2315: 2313: 2310: 2308: 2305: 2303: 2300: 2297: 2295: 2292: 2290: 2287: 2285: 2282: 2280: 2277: 2275: 2272: 2269: 2267: 2264: 2262: 2259: 2257: 2254: 2252: 2249: 2247: 2246:Stanley Cohen 2244: 2241: 2239: 2236: 2234: 2231: 2229: 2226: 2224: 2221: 2218: 2216: 2213: 2211: 2208: 2206: 2203: 2200: 2198: 2195: 2192: 2191: 2189: 2185: 2179: 2176: 2174: 2171: 2169: 2166: 2164: 2161: 2159: 2156: 2154: 2151: 2149: 2146: 2143: 2141: 2138: 2136: 2135:Efraim Racker 2133: 2131: 2128: 2126: 2123: 2120: 2118: 2115: 2113: 2110: 2108: 2105: 2103: 2100: 2097: 2095: 2092: 2090: 2089:James V. Neel 2087: 2085: 2082: 2080: 2077: 2074: 2072: 2069: 2067: 2064: 2061: 2059: 2056: 2054: 2051: 2048: 2047: 2045: 2041: 2035: 2032: 2030: 2027: 2024: 2022: 2019: 2017: 2014: 2012: 2009: 2007: 2004: 2002: 2001:Horace Barker 1999: 1996: 1994: 1991: 1989: 1986: 1984: 1981: 1979: 1976: 1973: 1971: 1970:Sewall Wright 1968: 1966: 1963: 1961: 1958: 1956: 1953: 1950: 1948: 1945: 1943: 1940: 1938: 1935: 1932: 1930: 1927: 1925: 1922: 1919: 1917: 1914: 1911: 1910: 1908: 1904: 1900: 1893: 1889: 1875: 1872: 1869: 1867: 1864: 1861: 1859: 1858:Anne Treisman 1856: 1853: 1852: 1850: 1846: 1840: 1837: 1834: 1832: 1829: 1826: 1824: 1821: 1818: 1816: 1815:Kenneth Arrow 1813: 1810: 1808: 1805: 1802: 1800: 1797: 1794: 1793: 1791: 1787: 1781: 1778: 1775: 1773: 1770: 1767: 1765: 1762: 1759: 1757: 1754: 1751: 1749: 1746: 1743: 1741: 1738: 1735: 1733: 1730: 1727: 1725: 1722: 1719: 1717: 1714: 1712: 1709: 1706: 1705: 1703: 1699: 1693: 1690: 1687: 1685: 1682: 1680: 1679:Anne Anastasi 1677: 1674: 1672: 1669: 1666: 1665: 1663: 1659: 1653: 1650: 1647: 1646: 1644: 1640: 1636: 1629: 1625: 1621: 1618: 1611: 1606: 1604: 1599: 1597: 1592: 1591: 1588: 1582: 1578: 1575: 1573: 1569: 1566: 1563: 1559: 1556: 1553: 1550: 1546: 1543: 1540: 1536: 1535: 1530: 1526: 1521: 1520: 1510: 1504: 1500: 1496: 1492: 1488: 1484: 1480: 1476: 1472: 1468: 1464: 1460: 1456: 1451: 1446: 1443:(1): 77–112, 1442: 1438: 1437: 1432: 1428: 1423: 1419: 1415: 1411: 1407: 1403: 1399: 1395: 1391: 1390: 1385: 1381: 1377: 1376: 1367: 1363: 1359: 1354: 1350: 1346: 1342: 1338: 1334: 1330: 1324: 1320: 1316: 1315:Cambridge, MA 1312: 1308: 1303: 1302: 1283: 1276: 1261: 1257: 1250: 1243:(4): 405–406. 1242: 1238: 1231: 1227: 1221: 1213: 1209: 1202: 1195: 1186: 1177: 1173: 1169: 1162: 1160: 1158: 1156: 1154: 1152: 1150: 1134: 1130: 1123: 1115: 1111: 1107: 1103: 1099: 1095: 1091: 1084: 1076: 1072: 1068: 1064: 1060: 1056: 1052: 1045: 1041: 1032: 1029: 1027: 1024: 1022: 1019: 1018: 1010: 1009:1-56881-150-0 1006: 1002: 998: 994: 990: 983: 978: 976: 975:0-387-97710-4 972: 968: 967:Ieke Moerdijk 964: 963: 959: 954: 952: 951:0-387-96217-4 948: 944: 943: 938: 936: 935:0-387-98403-8 932: 928: 924: 923: 919:1998 (1972). 918: 916: 915:0-8218-1646-2 912: 908: 904: 901:1999 (1967). 900: 897: 893: 889: 885: 881: 878:, Springer ( 877: 874:1995 (1963). 873: 869: 865: 861: 857: 852: 849: 845: 843: 842:1-56881-068-7 839: 835: 831: 828:1997 (1941). 827: 826: 820: 818: 817: 812: 808: 803: 801: 797: 793: 789: 785: 781: 777: 773: 769: 765: 761: 756: 754: 750: 747:in dimension 746: 743: 739: 735: 731: 727: 723: 719: 715: 711: 707: 703: 695: 690: 684:Contributions 681: 679: 675: 671: 667: 663: 659: 655: 651: 646: 644: 640: 636: 632: 628: 623: 621: 617: 613: 608: 604: 600: 596: 592: 588: 578: 576: 572: 568: 564: 560: 555: 553: 549: 545: 541: 537: 536:number theory 533: 529: 525: 521: 517: 512: 510: 506: 502: 498: 494: 490: 486: 482: 478: 474: 469: 467: 463: 459: 455: 451: 447: 443: 439: 429: 427: 423: 419: 415: 406: 403: 399: 395: 391: 387: 383: 379: 375: 371: 368: 364: 361: 357: 354: 352: 348: 345: 341: 337: 333: 330: 326: 323: 319: 315: 312: 308: 305: 301: 297: 292: 287: 284: 280: 276: 272: 269: 265: 261: 257: 253: 249: 245: 241: 237: 233: 232:Acyclic model 230: 226: 222: 218: 213: 209: 204: 200: 197: 193: 189: 185: 180: 179:San Francisco 171:14 April 2005 170: 166: 161: 156:4 August 1909 144: 140: 136: 131: 124: 121: 113: 110: 102: 91: 88: 84: 81: 77: 74: 70: 67: 63: 60: –  59: 55: 54:Find sources: 48: 44: 38: 37: 32:This article 30: 26: 21: 20: 6512:Ruth Charney 6448:James Arthur 6405:Arthur Jaffe 6297: 6060:Frank Morley 5996:Thomas Fiske 5833:Tom Leinster 5779:Herman Gluck 5769:Bjorn Poonen 5675:Eric Kostlan 5671:Alan Edelman 5527:Reuben Hersh 5523:Martin Davis 5517:Peter D. Lax 5511:Carl D. Olds 5471:Jack K. Hale 5416: 5298:Sandra Faber 5293:Sidney Drell 5123:Leo Kadanoff 5118:James Cronin 5066:Hans Dehmelt 5001:Robert Pound 4967:Robert Sharp 4783:John Sinfelt 4750:Verner Suomi 4717:Lewis Sarett 4581:Lars Onsager 4525:Henry Eyring 4492:John Bardeen 4234:Richard Karp 4202:Allen Newell 4151: 3981:Jerzy Neyman 3606:Tung-Yen Lin 3583:Bill Hewlett 3513:Morris Cohen 3107:John W. Cahn 3008:Karl Folkers 2769:Lucy Shapiro 2719:Elaine Fuchs 2598:Ann Graybiel 2528:Janet Rowley 2510:James Watson 2502:Ruth Patrick 2345:Philip Leder 2215:Mildred Cohn 2163:Severo Ochoa 2140:E. O. Wilson 1564:, 1984–1999. 1532: 1497:, New York: 1494: 1440: 1434: 1422:the original 1393: 1387: 1310: 1287:December 21, 1285:. Retrieved 1275: 1263:. Retrieved 1259: 1249: 1240: 1236: 1220: 1211: 1207: 1194: 1185: 1175: 1136:. Retrieved 1132: 1122: 1097: 1093: 1083: 1061:(5): 67–84. 1058: 1054: 1044: 1000: 992: 988: 962:Topos Theory 956: 940: 925:, Springer ( 920: 909:). 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H. Moore 5971:(1899–1900) 5963:(1897–1898) 5955:(1895–1896) 5947:(1891–1894) 5939:(1888–1890) 5665:Tom Hawkins 5659:Joan Birman 5647:Barry Mazur 5587:George Miel 5557:Heinz Bauer 5481:Guido Weiss 5465:Leon Henkin 5429:Paul Halmos 5399:G. H. Hardy 5387:G. A. Bliss 5251:Berni Alder 5058:Frank Press 4939:Walter Kohn 4916:George Pake 4850:Walter Munk 4773:Herman Mark 4755:Henry Taube 4543:Jesse Beams 4497:Peter Debye 4479:Harold Urey 4403:Barry Mazur 3965:John Milnor 3859:Amnon Yariv 3803:Leo Beranek 3629:Ernst Weber 3482:Abel Wolman 3073:Thomas Cech 3003:Elkan Blout 2943:Max Tishler 2860:Roger Adams 2818:Simon Levin 2284:Harry Eagle 2107:Paul Gyorgy 1799:Gary Becker 1337:j.ctt6wpqft 1100:(1): 3–19. 532:E. H. Moore 501:Øystein Ore 485:Jesse Beams 394:Anil Nerode 187:Nationality 6537:Categories 6432:Hyman Bass 6325:R. H. Bing 5859:Ezra Brown 5799:Ravi Vakil 5711:Brian Wick 5707:Stan Wagon 5687:Don Zagier 5376:recipients 5045:Vera Rubin 4684:Paul Flory 4345:Hyman Bass 4218:John Cocke 4121:Raoul Bott 4024:Kurt Gödel 4016:John Tukey 3973:Paul Cohen 3588:George Low 3551:Simon Ramo 2774:Leroy Hood 2575:Carl Woese 2523:Bruce Ames 2034:Ernst Mayr 1483:1122.01017 1418:1094.01010 1353:1290.01005 1299:References 1138:August 28, 892:AMS review 868:1911/62865 792:coproducts 643:Heinz Hopf 639:ETH Zurich 597:, and the 528:set theory 152:1909-08-04 99:March 2024 69:newspapers 6520:Bryna Kra 6496:Ken Ribet 6424:2001–2024 6333:Peter Lax 6309:1975–2000 6202:1951–1974 6087:1925–1950 5980:1901–1924 5929:1888–1900 5040:Val Fitch 4108:Peter Lax 3878:Shu Chien 3125:John Ross 2840:Chemistry 2228:Paul Berg 1620:laureates 1547:from the 1445:CiteSeerX 1031:SPQR tree 850:: 263–67. 784:morphisms 680:in 1989. 605:, he met 473:chemistry 458:evolution 442:Taftville 160:Taftville 5487:Mark Kac 5435:Mark Kac 5019:Ed Stone 2016:Jay 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Taftville
San Francisco
Yale University
BA
University of Chicago
MA
University of Göttingen
PhD
Acyclic model
Category theory
Shuffle algebra
Standard complex
Mac Lane coherence theorem
Mac Lane set theory
Mac Lane's condition
Mac Lane's planarity criterion
Eilenberg–MacLane space
Steinitz–Mac Lane exchange lemma

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