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Alan Weinstein

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40: 311: 1055: 303: 1441: 764: 422:, stating that "everything is a Lagrangian submanifold". Such insight has been constantly quoted as the source of inspiration for many results in symplectic geometry. 1431: 1421: 1426: 713: 295: 1456: 1406: 1401: 1060: 566: 370: 283: 307: 282:
in 1968/69. In 1969 he returned to Berkeley as assistant professor and from 1976 he is full professor. During 1975/76 he visited
1461: 852: 495: 315: 228: 244: 1466: 1365: 248: 204: 73: 1336: 1309: 1282: 1255: 506: 694: 1436: 429:, in a 1983 foundational paper Weinstein proved many results which laid the ground for the development of modern 258: 440:
He is author of more than 50 research papers in peer-reviewed journals and he has supervised 34 PhD students.
1416: 1374: 478: 471: 459: 319: 639: 1411: 827: 393: 83: 291: 107: 513: 363: 407:, which has been later proved in several particular cases and has led to many new developments in 874: 791: 1446: 1135: 669: 374: 339: 299: 208: 112: 1361: 912: 426: 1451: 971: 924: 769: 517:(with J.E. Marsden), Benjamin/Cummings (1981), now out of print and free at CaltechAUTHORS. 400: 343: 327: 88: 501: 8: 455: 434: 408: 378: 359: 351: 347: 262: 97: 92: 975: 928: 1036: 829:
The Breadth of Symplectic and Poisson Geometry - Festschrift in Honor of Alan Weinstein
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The breadth of symplectic and Poisson geometry: festschrift in honor of Alan Weinstein
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For the American historian, educator, and federal official, see
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Proceedings of the International Congress of Mathematician 1978
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Among his most important contributions, in 1971 he proved a
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The Cut Locus and Conjugate Locus of a Riemannian Manifold
960:"On the hypotheses of Rabinowitz' periodic orbit theorems" 670:"John Simon Guggenheim Foundation | Alan David Weinstein" 286:
in Paris and during 1978/79 he was visiting professor at
870:"Symplectic manifolds and their lagrangian submanifolds" 388:
on the theory of reduction for mechanical systems with
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Marsden, Jerrold; Weinstein, Alan (February 1, 1974).
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Weinstein was born in New York City. After attending
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Fellows of the American Academy of Arts and Sciences
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Jahresbericht der Deutschen Mathematiker-Vereinigung
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List of Fellows of the American Mathematical Society
615:"Alan Weinstein - The Mathematics Genealogy Project" 509:(1985), now out of print and free at CaltechAUTHORS. 1181:
Publications du Département de mathématiques (Lyon)
418:In 1981 he formulated a general principle, called 913:"Reduction of symplectic manifolds with symmetry" 555: 1393: 1324: 1298:Marsden, Jerrold E.; Weinstein, Alan J. (1985). 1297: 1271:Marsden, Jerrold E.; Weinstein, Alan J. (1985). 1270: 1244:Marsden, Jerrold E.; Weinstein, Alan J. (1985). 1243: 910: 227:, Weinstein obtained a bachelor's degree at the 1195:"Geometric Models for Noncommutative Algebras" 458:), Berkeley Mathematics Lecture Notes series, 231:in 1964. His teachers included, among others, 1325:Marsden, Jerrold; Weinstein, Alan J. (1981). 1175:Coste, A.; Dazord, P.; Weinstein, A. (1987). 1140:Bulletin of the American Mathematical Society 1061:Bulletin of the American Mathematical Society 1009:"A Short History of the Weinstein Conjecture" 1432:Fellows of the American Mathematical Society 1136:"Symplectic groupoids and Poisson manifolds" 818: 567:Notices of the American Mathematical Society 486:and A.J. Tromba), W.A. Freeman and Company, 451:Geometric Models for Noncommutative Algebras 640:"Past Fellows | Alfred P. Sloan Foundation" 218: 1422:University of California, Berkeley faculty 1220:"Lectures on the Geometry of Quantization" 1095:"The local structure of Poisson manifolds" 835:. Progress in Mathematics. Vol. 232. 712:: CS1 maint: location missing publisher ( 38: 1427:University of California, Berkeley alumni 1151: 1133: 1110: 1092: 1073: 1053: 1007:Pasquotto, Federica (September 1, 2012). 1006: 983: 957: 887: 867: 579: 274:Weinstein worked then at MIT on 1967 (as 1331:. Benjamin/Cummings Publishing Company. 467:Lectures on the Geometry of Quantization 308:International Congress of Mathematicians 732:American Academy of Arts & Sciences 1394: 338:Weinstein's works cover many areas in 199:(born 17 June 1943) is a professor of 958:Weinstein, Alan (September 1, 1979). 814: 812: 702:. Vol. 2. Helsinki. p. 803. 689: 316:American Academy of Arts and Sciences 229:Massachusetts Institute of Technology 1457:Mathematicians from New York (state) 1407:21st-century American mathematicians 1402:20th-century American mathematicians 609: 607: 562:"A Conversation with Alan Weinstein" 551: 549: 547: 545: 543: 1093:Weinstein, Alan (January 1, 1983). 399:In 1978 he formulated a celebrated 13: 1380: 1366:University of California, Berkeley 809: 290:. Weinstein was awarded in 1971 a 249:University of California, Berkeley 205:University of California, Berkeley 74:University of California, Berkeley 16:American mathematician (born 1943) 14: 1478: 1349: 964:Journal of Differential Equations 604: 540: 535:American Men and Women of Science 255:. His dissertation was entitled " 1099:Journal of Differential Geometry 868:Weinstein, Alan (June 1, 1971). 1318: 1291: 1264: 1237: 1212: 1187: 1168: 1153:10.1090/S0273-0979-1987-15473-5 1127: 1086: 1075:10.1090/S0273-0979-1981-14911-9 1047: 1000: 951: 917:Reports on Mathematical Physics 904: 861: 799:Berkeley Mathematics Newsletter 784: 251:in 1967 under the direction of 757: 745: 720: 683: 662: 632: 528: 505:(with J.E. Marsden), 2nd ed., 1: 1375:Mathematics Genealogy Project 1054:Weinstein, Alan (July 1981). 765:"Archive Honorary Doctorates" 472:American Mathematical Society 460:American Mathematical Society 371:tubular neighbourhood theorem 320:American Mathematical Society 314:he was elected Fellow of the 1462:Educators from New York City 985:10.1016/0022-0396(79)90070-6 937:10.1016/0034-4877(74)90021-4 889:10.1016/0001-8708(71)90020-X 479:Basic Multivariable Calculus 7: 333: 322:. In 2003 he was awarded a 10: 1483: 1177:"GroupoĂŻdes symplectiques" 826:, eds. (2005). "Preface". 394:Marsden–Weinstein quotient 318:and in 2012 Fellow of the 207:, working in the field of 84:Marsden-Weinstein quotient 18: 1467:American textbook writers 1025:10.1365/s13291-012-0051-1 392:, introducing the famous 292:Sloan Research Fellowship 269: 261:and conjugate locus of a 190: 164: 152: 136: 126: 119: 108:Sloan Research Fellowship 103: 79: 69: 46: 37: 30: 1134:Weinstein, Alan (1987). 521: 443: 425:Building on the work of 364:deformation quantization 219:Early life and education 1183:(in French) (2A): 1–62. 875:Advances in Mathematics 754:, retrieved 2013-09-01. 384:In 1974 he worked with 247:. He received a PhD at 1437:Sloan Research Fellows 1112:10.4310/jdg/1214437787 728:"Alan David Weinstein" 1356:Weinstein's home page 1056:"Symplectic geometry" 619:www.mathgenealogy.org 340:differential geometry 300:Guggenheim Fellowship 209:differential geometry 113:Guggenheim Fellowship 1417:American topologists 770:Universiteit Utrecht 693:, Olii, ed. (1980). 556:Bursztyn, Henrique; 537:, Thomson Gale, 2005 502:Calculus, I, II, III 435:symplectic groupoids 403:on the existence of 379:symplectic manifolds 344:mathematical physics 328:Universiteit Utrecht 211:, and especially in 197:Alan David Weinstein 89:Weinstein conjecture 976:1979JDE....33..353W 929:1974RpMP....5..121M 839:. pp. ix–xii. 805:(1): 10. Fall 2003. 792:"Honors and Awards" 560:(January 1, 2023). 558:Fernandes, Rui Loja 360:geometric mechanics 352:symplectic geometry 348:Riemannian geometry 263:Riemannian manifold 98:Symplectic category 93:Symplectic groupoid 1412:American geometers 1328:Calculus Unlimited 514:Calculus Unlimited 456:A. Cannas da Silva 427:AndrĂ© Lichnerowicz 324:honorary doctorate 225:Roslyn High School 1224:bookstore.ams.org 1199:bookstore.ams.org 854:978-0-8176-3565-7 650:on March 14, 2018 496:978-0-387-97976-2 302:. In 1978 he was 253:Shiing-Shen Chern 245:SigurĂ°ur Helgason 194: 193: 165:Doctoral students 159:Shiing-Shen Chern 121:Scientific career 1474: 1343: 1342: 1322: 1316: 1315: 1295: 1289: 1288: 1268: 1262: 1261: 1241: 1235: 1234: 1232: 1230: 1216: 1210: 1209: 1207: 1205: 1191: 1185: 1184: 1172: 1166: 1165: 1155: 1131: 1125: 1124: 1114: 1090: 1084: 1083: 1077: 1051: 1045: 1044: 1004: 998: 997: 987: 955: 949: 948: 908: 902: 901: 891: 865: 859: 858: 834: 820:Marsden, Jerrold 816: 807: 806: 796: 788: 782: 781: 779: 777: 761: 755: 749: 743: 742: 740: 738: 724: 718: 717: 711: 703: 701: 687: 681: 680: 678: 676: 666: 660: 659: 657: 655: 646:. Archived from 636: 630: 629: 627: 625: 611: 602: 601: 583: 581:10.1090/noti2595 553: 538: 532: 431:Poisson geometry 420:symplectic creed 413:contact geometry 310:in Helsinki. In 276:Moore instructor 213:Poisson geometry 169:Theodore Courant 154:Doctoral advisor 148: 57: 55: 42: 28: 27: 1482: 1481: 1477: 1476: 1475: 1473: 1472: 1471: 1392: 1391: 1383: 1381:Further reading 1362:Alain Weinstein 1352: 1347: 1346: 1339: 1323: 1319: 1312: 1296: 1292: 1285: 1269: 1265: 1258: 1242: 1238: 1228: 1226: 1218: 1217: 1213: 1203: 1201: 1193: 1192: 1188: 1173: 1169: 1132: 1128: 1091: 1087: 1052: 1048: 1005: 1001: 956: 952: 909: 905: 866: 862: 855: 845:10.1007/b138687 832: 817: 810: 794: 790: 789: 785: 775: 773: 763: 762: 758: 750: 746: 736: 734: 726: 725: 721: 705: 704: 699: 688: 684: 674: 672: 668: 667: 663: 653: 651: 638: 637: 633: 623: 621: 613: 612: 605: 554: 541: 533: 529: 524: 507:Springer-Verlag 488:Springer-Verlag 446: 405:periodic orbits 386:Jerrold Marsden 336: 304:invited speaker 288:Rice University 280:Bonn University 272: 237:Gian-Carlo Rota 221: 183: 181:Steven Zelditch 179: 177:Steve Omohundro 175: 173:Viktor Ginzburg 171: 146: 111: 95: 91: 86: 70:Alma mater 65: 64:, United States 59: 53: 51: 33: 24: 21:Allen Weinstein 17: 12: 11: 5: 1480: 1470: 1469: 1464: 1459: 1454: 1449: 1444: 1439: 1434: 1429: 1424: 1419: 1414: 1409: 1404: 1390: 1389: 1382: 1379: 1378: 1377: 1371:Alan Weinstein 1368: 1359: 1351: 1350:External links 1348: 1345: 1344: 1337: 1317: 1310: 1290: 1283: 1263: 1256: 1236: 1211: 1186: 1167: 1146:(1): 101–104. 1126: 1085: 1080:Project Euclid 1046: 1019:(3): 119–130. 999: 970:(3): 353–358. 950: 923:(1): 121–130. 903: 882:(3): 329–346. 860: 853: 808: 783: 756: 744: 719: 682: 661: 631: 603: 539: 526: 525: 523: 520: 519: 518: 510: 498: 475: 463: 445: 442: 335: 332: 271: 268: 220: 217: 192: 191: 188: 187: 166: 162: 161: 156: 150: 149: 140: 134: 133: 128: 124: 123: 117: 116: 105: 101: 100: 81: 80:Known for 77: 76: 71: 67: 66: 60: 48: 44: 43: 35: 34: 32:Alan Weinstein 31: 15: 9: 6: 4: 3: 2: 1479: 1468: 1465: 1463: 1460: 1458: 1455: 1453: 1450: 1448: 1447:Living people 1445: 1443: 1440: 1438: 1435: 1433: 1430: 1428: 1425: 1423: 1420: 1418: 1415: 1413: 1410: 1408: 1405: 1403: 1400: 1399: 1397: 1388: 1385: 1384: 1376: 1372: 1369: 1367: 1363: 1360: 1357: 1354: 1353: 1340: 1338:9780805369328 1334: 1330: 1329: 1321: 1313: 1311:9780387909851 1307: 1303: 1302: 1294: 1286: 1284:9780387909752 1280: 1276: 1275: 1267: 1259: 1257:9780387909745 1253: 1249: 1248: 1240: 1225: 1221: 1215: 1200: 1196: 1190: 1182: 1178: 1171: 1163: 1159: 1154: 1149: 1145: 1141: 1137: 1130: 1122: 1118: 1113: 1108: 1104: 1100: 1096: 1089: 1081: 1076: 1071: 1067: 1063: 1062: 1057: 1050: 1042: 1038: 1034: 1030: 1026: 1022: 1018: 1014: 1010: 1003: 995: 991: 986: 981: 977: 973: 969: 965: 961: 954: 946: 942: 938: 934: 930: 926: 922: 918: 914: 907: 899: 895: 890: 885: 881: 877: 876: 871: 864: 856: 850: 846: 842: 838: 831: 830: 825: 821: 815: 813: 804: 800: 793: 787: 772: 771: 766: 760: 753: 748: 733: 729: 723: 715: 709: 698: 697: 692: 686: 671: 665: 649: 645: 641: 635: 620: 616: 610: 608: 599: 595: 591: 587: 582: 577: 573: 569: 568: 563: 559: 552: 550: 548: 546: 544: 536: 531: 527: 516: 515: 511: 508: 504: 503: 499: 497: 493: 489: 485: 481: 480: 476: 473: 469: 468: 464: 461: 457: 453: 452: 448: 447: 441: 438: 436: 432: 428: 423: 421: 416: 414: 410: 406: 402: 397: 395: 391: 387: 382: 380: 376: 372: 367: 365: 361: 357: 356:Lie groupoids 353: 349: 345: 341: 331: 329: 325: 321: 317: 313: 309: 305: 301: 297: 293: 289: 285: 281: 277: 267: 265: 264: 260: 254: 250: 246: 242: 238: 234: 233:James Munkres 230: 226: 216: 214: 210: 206: 202: 198: 189: 186: 182: 178: 174: 170: 167: 163: 160: 157: 155: 151: 144: 141: 139: 135: 132: 129: 125: 122: 118: 114: 109: 106: 102: 99: 96: 94: 90: 85: 82: 78: 75: 72: 68: 63: 58:(age 81) 50:June 17, 1943 49: 45: 41: 36: 29: 26: 22: 1327: 1320: 1304:. 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Marsden 477: 466: 450: 439: 424: 419: 417: 398: 383: 368: 346:, including 337: 273: 256: 241:Irving Segal 222: 196: 195: 185:Yong-Geun Oh 142: 120: 87: 25: 1452:1943 births 1274:Calculus II 1068:(1): 1–13. 776:January 28, 375:Lagrangians 201:mathematics 131:Mathematics 1396:Categories 1247:Calculus I 837:Birkhäuser 409:symplectic 401:conjecture 390:symmetries 54:1943-06-17 1162:0273-0979 1121:0022-040X 1041:120567013 1033:1869-7135 994:0022-0396 945:0034-4877 898:0001-8708 708:cite book 644:sloan.org 598:254776861 590:0002-9920 278:) and at 259:cut locus 1229:July 17, 1204:July 17, 737:July 17, 675:July 17, 654:July 17, 624:July 17, 574:(1): 1. 490:(1993), 334:Research 62:New York 1373:at the 972:Bibcode 925:Bibcode 306:at the 294:and in 203:at the 52: ( 1335:  1308:  1281:  1254:  1160:  1119:  1039:  1031:  992:  943:  896:  851:  596:  588:  494:  482:(with 474:(1997) 462:(1999) 454:(with 270:Career 147:(1967) 145:  138:Thesis 127:Fields 115:, 1985 110:, 1971 104:Awards 1105:(3). 1037:S2CID 833:(PDF) 795:(PDF) 700:(PDF) 691:Lehto 594:S2CID 522:Notes 444:Books 326:from 1333:ISBN 1306:ISBN 1279:ISBN 1252:ISBN 1231:2021 1206:2021 1158:ISSN 1117:ISSN 1029:ISSN 990:ISSN 941:ISSN 894:ISSN 849:ISBN 778:2023 739:2021 714:link 677:2021 656:2021 626:2021 586:ISSN 492:ISBN 411:and 373:for 362:and 342:and 312:1992 296:1985 284:IHES 257:The 47:Born 1364:at 1148:doi 1107:doi 1070:doi 1021:doi 1017:114 980:doi 933:doi 884:doi 841:doi 576:doi 377:in 266:". 1398:: 1222:. 1197:. 1179:. 1156:. 1144:16 1142:. 1138:. 1115:. 1103:18 1101:. 1097:. 1064:. 1058:. 1035:. 1027:. 1015:. 1011:. 988:. 978:. 968:33 966:. 962:. 939:. 931:. 919:. 915:. 892:. 878:. 872:. 847:. 822:; 811:^ 801:. 797:. 767:. 730:. 710:}} 706:{{ 642:. 617:. 606:^ 592:. 584:. 572:70 570:. 564:. 542:^ 437:. 415:. 396:. 381:. 366:. 358:, 354:, 350:, 330:. 298:a 239:, 235:, 215:. 1358:. 1341:. 1314:. 1287:. 1260:. 1233:. 1208:. 1164:. 1150:: 1123:. 1109:: 1082:. 1072:: 1066:5 1043:. 1023:: 996:. 982:: 974:: 947:. 935:: 927:: 921:5 900:. 886:: 880:6 857:. 843:: 803:X 780:. 741:. 716:) 679:. 658:. 628:. 600:. 578:: 56:) 23:.

Index

Allen Weinstein

New York
University of California, Berkeley
Marsden-Weinstein quotient
Weinstein conjecture
Symplectic groupoid
Symplectic category
Sloan Research Fellowship
Guggenheim Fellowship
Mathematics
Thesis
Doctoral advisor
Shiing-Shen Chern
Theodore Courant
Viktor Ginzburg
Steve Omohundro
Steven Zelditch
Yong-Geun Oh
mathematics
University of California, Berkeley
differential geometry
Poisson geometry
Roslyn High School
Massachusetts Institute of Technology
James Munkres
Gian-Carlo Rota
Irving Segal
SigurĂ°ur Helgason
University of California, Berkeley

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