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Oswald Veblen Prize in Geometry

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his work on the topology of low dimensional manifolds and specifically for the discovery of an integer valued invariant of homology three spheres whose reduction mod(2) is the invariant of Rohlin.
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Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), 531–539, Amer. Math. Soc., Providence, RI, 1987.
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Families index for manifolds with boundary, superconnections, and cones. I. Families of manifolds with boundary and Dirac operators.
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Topology and representation theory (Evanston, IL, 1992), 23–88, Contemp. Math., 158, Amer. Math. Soc., Providence, RI, 1994. (with
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Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2π and completion of the main proof.
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The space of embedded minimal surfaces of fixed genus in a 3-manifold. I. Estimates off the axis for disks.
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Zurich Lectures in Advanced Mathematics. European Mathematical Society (EMS), Zürich, 2008. viii+326 pp.
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The space of embedded minimal surfaces of fixed genus in a 3-manifold. II. Multi-valued graphs in disks.
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Surveys in differential geometry, Vol. II (Cambridge, MA, 1993), 7–136, Int. Press, Cambridge, MA, 1995.
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and first issued in 1964. The Veblen Prize is now worth US$ 5000, and is awarded every three years.
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The space of embedded minimal surfaces of fixed genus in a 3-manifold. IV. Locally simply connected.
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Families index for manifolds with boundary, superconnections and cones. II. The Chern character.
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Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities.
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Topology of three-dimensional manifolds and the embedding problems in minimal surface theory.
356:
On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I.
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With an appendix by Nathan Dunfield. J. Amer. Math. Soc. 20 (2007), no. 4, 1053–1077. (with
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The space of embedded minimal surfaces of fixed genus in a 3-manifold. III. Planar domains.
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were the first ones to receive it for works in geometry (for some distinctions, see
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Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2π.
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The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory.
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Existence of infinitely many minimal hypersurfaces in positive Ricci curvature.
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Holomorphic disks and three-manifold invariants: properties and applications.
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Annals of Mathematics SECOND SERIES, Vol. 184, No. 1 (July, 2016), pp. 1-262
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On Calabi's conjecture for complex surfaces with positive first Chern class.
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Lower bounds on Ricci curvature and the almost rigidity of warped products.
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Embedded surfaces and the structure of Donaldson's polynomial invariants.
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Compactness theorems for Kähler-Einstein manifolds of dimension 3 and up.
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On the regularity of the solution of the n-dimensional Minkowski problem.
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Holomorphic disks and topological invariants for closed three-manifolds.
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The residual finiteness of negatively curved polygons of finite groups.
923:
Subgroup separability of graphs of free groups with cyclic edge groups.
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Exact Lagrangian submanifolds in simply-connected cotangent bundles.
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On the proof of the positive mass conjecture in general relativity.
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The first seven prize winners were awarded for works in topology.
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On the structure of spaces with Ricci curvature bounded below. I.
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Classification of overtwisted contact structures on 3-manifolds.
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Elliptic spectra, the Witten genus and the theorem of the cube.
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Calabi's conjecture and some new results in algebraic geometry.
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Self-dual Yang-Mills connections on non-self-dual 4-manifolds.
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Residual finiteness, QCERF and fillings of hyperbolic groups.
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Bull. Amer. Math. Soc. (N.S.) 30 (1994), no. 1, 76–86. (with
159:). As of 2020, there have been thirty-four prize recipients. 438:
Journal of Differential Geometry 17 (1982), no. 1, 139–170.
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Journal of Differential Geometry 17 (1982), no. 3, 357–453.
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Journal of Differential Geometry 13 (1978), no. 2, 231–241.
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Journal of Differential Geometry 13 (1978), no. 2, 223–230.
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On the nonexistence of elements of Kervaire invariant one.
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Equivariant vector bundles on the Lubin-Tate moduli space.
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Proc. Natl. Acad. Sci. U.S.A. 74 (1977), no. 5, 1798–1799.
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Lower bounds on volumes of hyperbolic Haken 3-manifolds.
342:. Comm. Pure Appl. Math. 30 (1977), no. 1, 41–68. (with 279:
Comm. Pure Appl. Math. 29 (1976), no. 5, 495–516. (with
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The genus of embedded surfaces in the projective plane.
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J. Differential Geom. 46 (1997), no. 3, 406–480. (with
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Kähler-Einstein metrics with positive scalar curvature.
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J. Differential Geom. 42 (1995), no. 2, 259–367. (with
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Ann. of Math. (2) 176 (2012), no. 3, 1427–1482. (with
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Geom. Funct. Anal. 17 (2008), no. 5, 1551–1620. (with
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Comment. Math. Helv. 80 (2005), no. 4, 859–881. (with
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A long exact sequence for symplectic Floer cohomology.
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Inst. Hautes Études Sci. Publ. Math. 53 (1981), 53–73.
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J. Amer. Math. Soc. 29 (2016), no. 2, 561–578. (with
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Ann. of Math. (2) 128 (1988), no. 2, 207–241. (with
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Ann. of Math. (2) 144 (1996), no. 1, 189–237. (with
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Gauge theory on asymptotically periodic 4-manifolds.
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Ann. of Math. (2) 112 (1980), no. 3, 441–484. (with
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Inst. Hautes Études Sci. Publ. Math. 56 (1982), 5–99
1143: 945:A combination theorem for special cube complexes. 802:The Calabi-Yau conjectures for embedded surfaces. 671:Ann. of Math. (2) 148 (1998), no. 1, 1–49. (with 551:J. Funct. Anal. 90 (1990), no. 2, 306–354. (with 541:J. Funct. Anal. 89 (1990), no. 2, 313–363. (with 475:Four-manifolds with positive isotropic curvature. 469:The formation of singularities in the Ricci flow. 364:Comm. Math. Phys. 65 (1979), no. 1, 45–76. (with 358:Comm. Pure Appl. Math. 31 (1978), no. 3, 339–411. 1521: 896:Geom. Topol. 13 (2009), no. 2, 1043–1073. (with 712:J. Differential Geom. 41 (1995), no. 3, 573–734. 657:Invent. Math. 146 (2001), no. 3, 595–687. (with 504:J. Differential Geom. 35 (1992), no. 3, 535–558. 450:J. Differential Geom. 31 (1990), no. 2, 547–599. 444:J. Differential Geom. 25 (1987), no. 3, 363–430. 1201:"Michael H. Freedman Awarded 1986 Veblen Prize" 829:The symplectic topology of Ramanujam's surface. 749:Ann. of Math. (2) 159 (2004), no. 3, 1159–1245. 743:Ann. of Math. (2) 159 (2004), no. 3, 1027–1158. 250:Groups of polynomial growth and expanding maps. 246:Comment. Math. Helv. 56 (1981), no. 2, 179–195. 1033:J. Amer. Math. Soc. 28 (2015), no. 1, 235–278. 1027:J. Amer. Math. Soc. 28 (2015), no. 1, 199–234. 1021:J. Amer. Math. Soc. 28 (2015), no. 1, 183–197. 839:Fukaya categories and Picard-Lefschetz theory. 287:On the regularity of the Monge-Ampère equation 1087: 976:Ann. of Math. (2) 179 (2014), no. 2, 683–782. 847:Invent. Math. 172 (2008), no. 1, 1–27. (with 804:Ann. of Math. (2) 167 (2008), no. 1, 211–243. 798:Ann. of Math. (2) 160 (2004), no. 2, 573–615. 792:Ann. of Math. (2) 160 (2004), no. 2, 523–572. 594:Combinatorial methods in symplectic geometry. 1101:A Century of Mathematics in America, Part II 508:A mathematical theory of quantum cohomology. 1530:Awards of the American Mathematical Society 1284: 1282: 1280: 974:Min-max theory and the Willmore conjecture. 786:Ann. of Math. (2) 160 (2004), no. 1, 69–92. 780:Ann. of Math. (2) 160 (2004), no. 1, 27–68. 397:The topology of four-dimensional manifolds. 1139: 1137: 1135: 1133: 1131: 1129: 1127: 1125: 706:Math. Res. Lett. 1 (1994), no. 6, 797–808. 669:Nilpotence and stable homotopy theory. II. 27:Award of the American Mathematical Society 1473: 1251: 1249: 992:Invent. Math. 209 (2017), no. 2, 577–616. 931:Invent. Math. 149 (2002), no. 3, 579–617. 621:Nilpotence and stable homotopy theory. I. 498:Invent. Math. 101 (1990), no. 1, 101–172. 1555:1964 establishments in the United States 1277: 1170: 1168: 602:Invent. Math. 98 (1989), no. 3, 623–637. 477:Comm. Anal. Geom. 5 (1997), no. 1, 1–92. 1405: 1403: 1374: 1372: 1155:MacTutor History of Mathematics Archive 1122: 980:Min-max theory and the energy of links. 14: 1522: 1500:"2022 Oswald Veblen Prize in Geometry" 1489:"2019 Oswald Veblen Prize in Geometry" 1453:"2016 Oswald Veblen Prize in Geometry" 1343: 1341: 1246: 1229:"1991 Oswald Veblen Prize in Geometry" 1223: 1221: 925:Q. J. Math. 51 (2000), no. 1, 107–129. 520:Invent. Math. 130 (1997), no. 1, 1–37. 244:Curvature, diameter and Betti numbers. 140:. It was funded in 1961 in memory of 1450: 1165: 825:Topology 42 (2003), no. 5, 1003–1063. 162: 1400: 1369: 448:Casson's invariant and gauge theory. 1338: 1218: 890:J. Topol. 1 (2008), no. 2, 269–284. 753:Holomorphic disks and genus bounds. 716:Witten's conjecture and property P. 24: 25: 1566: 1508: 1150:"Oswald Veblen Prize of the AMS" 232:Manifolds of negative curvature. 1493: 1482: 1444: 1431: 1094:Peter L. Duren; Richard Askey; 755:Geom. Topol. 8 (2004), 311–334. 718:Geom. Topol. 8 (2004), 295–310. 126:Oswald Veblen Prize in Geometry 36:Oswald Veblen Prize in Geometry 1310: 1193: 888:Criteria for virtual fibering. 256:Volume and bounded cohomology. 13: 1: 1106:American Mathematical Society 1080: 130:American Mathematical Society 70:American Mathematical Society 1451:Kehoe, Elaine (April 2016), 7: 1189:(2): 160–164, February 1981 1068: 128:is an award granted by the 10: 1571: 1535:Awards established in 1964 1257:"1996 Oswald Veblen Prize" 1075:List of mathematics awards 170:Christos Papakyriakopoulos 100: 92: 84: 76: 65: 55: 40: 35: 1426:(4): 494–496, April 2013 1395:(4): 521–523, April 2010 1364:(4): 527–530, April 2007 1333:(4): 426–427, April 2004 1305:(4): 408–410, April 2001 1272:(3): 325–327, March 1996 1242:(3): 181–183, March 1991 1214:(2): 227–228, March 1986 1176:"Veblen Prizes for 1981" 1160:University of St Andrews 132:for notable research in 1098:, eds. (January 1989). 935:Special cube complexes. 1515:Veblen prize home page 238:Almost flat manifolds. 960:Fernando Codá Marques 157:geometry and topology 1146:Robertson, Edmund F. 768:William Minicozzi II 44:Notable research in 1437:AMS News Releases, 1411:"2013 Veblen Prize" 1380:"2010 Veblen Prize" 1349:"2007 Veblen Prize" 1318:"2004 Veblen Prize" 1290:"2001 Veblen Prize" 1144:O'Connor, John J.; 459:Richard S. Hamilton 216:James Harris Simons 149:James Harris Simons 1461:Notices of the AMS 1419:Notices of the AMS 1388:Notices of the AMS 1357:Notices of the AMS 1326:Notices of the AMS 1298:Notices of the AMS 1265:Notices of the AMS 1236:Notices of the AMS 1208:Notices of the AMS 1183:Notices of the AMS 1046:Michael J. Hopkins 611:Michael J. Hopkins 553:Jean-Michel Bismut 543:Jean-Michel Bismut 163:List of recipients 1115:978-0-8218-0130-7 902:Jason Fox Manning 122: 121: 16:(Redirected from 1562: 1540:Triennial events 1502: 1497: 1491: 1486: 1480: 1478: 1477: 1475:10.1090/noti1358 1457: 1448: 1442: 1435: 1429: 1427: 1415: 1407: 1398: 1396: 1384: 1376: 1367: 1365: 1353: 1345: 1336: 1334: 1322: 1314: 1308: 1306: 1294: 1286: 1275: 1273: 1261: 1253: 1244: 1243: 1233: 1225: 1216: 1215: 1205: 1197: 1191: 1190: 1180: 1172: 1163: 1162: 1141: 1120: 1119: 1091: 949:Frédéric Haglund 939:Frédéric Haglund 882:William Thurston 690:Peter Kronheimer 584:Yakov Eliashberg 387:Michael Freedman 341: 327: 325: 324: 304: 301: 210:William Thurston 153:William Thurston 118: 115: 113: 111: 109: 107: 33: 32: 21: 1570: 1569: 1565: 1564: 1563: 1561: 1560: 1559: 1520: 1519: 1511: 1506: 1505: 1498: 1494: 1487: 1483: 1455: 1449: 1445: 1436: 1432: 1413: 1409: 1408: 1401: 1382: 1378: 1377: 1370: 1351: 1347: 1346: 1339: 1320: 1316: 1315: 1311: 1292: 1288: 1287: 1278: 1259: 1255: 1254: 1247: 1231: 1227: 1226: 1219: 1203: 1199: 1198: 1194: 1178: 1174: 1173: 1166: 1142: 1123: 1116: 1108:. p. 521. 1096:Uta C. Merzbach 1092: 1088: 1083: 1071: 1050:Douglas Ravenel 1042:Michael A. Hill 1005:Simon Donaldson 663:Neil Strickland 426:Clifford Taubes 344:Shiu-Yuen Cheng 323: 314: 305: 302: 296: 295: 293: 289: 281:Shiu-Yuen Cheng 204:Dennis Sullivan 165: 104: 31: 28: 23: 22: 15: 12: 11: 5: 1568: 1558: 1557: 1552: 1547: 1542: 1537: 1532: 1518: 1517: 1510: 1509:External links 1507: 1504: 1503: 1492: 1481: 1468:(4): 429–431, 1443: 1430: 1399: 1368: 1337: 1309: 1276: 1245: 1217: 1192: 1164: 1121: 1114: 1085: 1084: 1082: 1079: 1078: 1077: 1070: 1067: 1066: 1065: 1064: 1063: 1054: 1053: 1037: 1036: 1035: 1034: 1028: 1022: 1013: 1012: 996: 995: 994: 993: 987: 977: 968: 967: 955: 954: 953: 952: 942: 932: 926: 917: 916: 908: 907: 906: 905: 891: 885: 868: 867: 859: 858: 857: 856: 842: 836: 826: 817: 816: 808: 807: 806: 805: 799: 793: 787: 781: 772: 771: 764:Tobias Colding 759: 758: 757: 756: 750: 744: 735: 734: 722: 721: 720: 719: 713: 707: 698: 697: 686: 679: 678: 677: 676: 666: 652: 649:Benedict Gross 642: 639:Benedict Gross 632: 625:Ethan Devinatz 615: 614: 606: 605: 604: 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Mrowka 691: 687: 685: 681: 680: 674: 673:Jeffrey Smith 670: 667: 664: 660: 656: 653: 650: 646: 643: 640: 636: 633: 630: 629:Jeffrey Smith 626: 622: 619: 618: 617: 616: 612: 608: 607: 601: 598: 595: 592: 591: 590: 589: 585: 581: 580: 574: 570: 567: 564: 560: 557: 554: 550: 547: 544: 540: 537: 536: 535: 534: 530: 526: 525: 519: 516: 513: 509: 506: 503: 500: 497: 494: 493: 492: 491: 487: 483: 482: 476: 473: 470: 467: 466: 465: 464: 460: 456: 455: 449: 446: 443: 440: 437: 434: 433: 432: 431: 427: 423: 422: 416: 415: 414: 413: 409: 408:Andrew Casson 405: 404: 398: 395: 394: 393: 392: 388: 384: 383: 377: 376:William Meeks 373: 370: 367: 363: 360: 357: 354: 351: 348: 345: 339: 335: 331: 322: 318: 313: 309: 300: 292: 288: 285: 282: 278: 275: 274: 273: 272: 268: 264: 263: 257: 254: 251: 248: 245: 242: 239: 236: 233: 230: 229: 228: 227: 223: 219: 217: 213: 211: 207: 205: 201: 199: 195: 193: 189: 185: 183: 182:Stephen Smale 179: 177: 173: 171: 167: 166: 160: 158: 154: 150: 145: 143: 142:Oswald Veblen 139: 135: 131: 127: 117: 114:/veblen-prize 103: 99: 95: 91: 87: 85:First awarded 83: 79: 75: 71: 68: 64: 61: 60:United States 58: 54: 51: 47: 43: 39: 34: 19: 1495: 1484: 1465: 1459: 1446: 1433: 1423: 1417: 1392: 1386: 1361: 1355: 1330: 1324: 1312: 1302: 1296: 1269: 1263: 1239: 1235: 1211: 1207: 1195: 1186: 1182: 1153: 1100: 1089: 1059: 1030: 1024: 1018: 989: 979: 973: 944: 934: 928: 922: 893: 887: 878:Daniel Storm 873: 849:Kenji Fukaya 844: 838: 828: 822: 801: 795: 789: 783: 777: 752: 746: 740: 731:Zoltán Szabó 715: 709: 703: 668: 659:Matthew Ando 654: 644: 634: 620: 599: 593: 568: 558: 548: 538: 529:Jeff Cheeger 517: 512:Yongbin Ruan 507: 501: 495: 474: 468: 447: 441: 435: 396: 371: 361: 355: 349: 337: 333: 329: 320: 316: 311: 307: 298: 290: 286: 276: 255: 249: 243: 237: 231: 198:Robion Kirby 188:Morton Brown 146: 125: 123: 93:Last awarded 66:Presented by 18:Veblen Prize 964:André Neves 913:Daniel Wise 813:Paul Seidel 684:David Gabai 192:Barry Mazur 41:Awarded for 1524:Categories 1081:References 853:Ivan Smith 833:Ivan Smith 176:Raoul Bott 80:US $ 5,000 486:Gang Tian 77:Reward(s) 1550:Topology 1545:Geometry 1069:See also 1009:Song Sun 984:Ian Agol 864:Ian Agol 138:topology 134:geometry 50:topology 46:geometry 326:⁠ 294:⁠ 112:/prizes 101:Website 56:Country 1112:  1048:, and 1456:(PDF) 1414:(PDF) 1383:(PDF) 1352:(PDF) 1321:(PDF) 1293:(PDF) 1260:(PDF) 1232:(PDF) 1204:(PDF) 1179:(PDF) 1040:2022 999:2019 958:2016 911:2013 862:2013 811:2010 762:2010 725:2007 688:2007 682:2004 609:2001 582:2001 527:2001 484:1996 457:1996 424:1991 406:1991 385:1986 265:1981 220:1981 214:1976 208:1976 202:1971 196:1971 186:1966 180:1966 174:1964 168:1964 116:.html 72:(AMS) 30:Award 1110:ISBN 1052:for: 1011:for: 1007:and 966:for: 962:and 915:for: 900:and 880:and 866:for: 851:and 815:for: 770:for: 766:and 733:for: 729:and 696:for: 692:and 661:and 627:and 613:for: 586:for: 531:for: 488:for: 461:for: 428:for: 410:for: 389:for: 269:for: 224:for: 190:and 151:and 124:The 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Index

Veblen Prize
geometry
topology
United States
American Mathematical Society
www.ams.org/prizes/veblen-prize.html
American Mathematical Society
geometry
topology
Oswald Veblen
James Harris Simons
William Thurston
geometry and topology
Christos Papakyriakopoulos
Raoul Bott
Stephen Smale
Morton Brown
Barry Mazur
Robion Kirby
Dennis Sullivan
William Thurston
James Harris Simons
Mikhail Gromov
Shing-Tung Yau
Shiu-Yuen Cheng
Shiu-Yuen Cheng
Richard Schoen
William Meeks
Michael Freedman
Andrew Casson

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