Knowledge (XXG)

Robert W. Brooks

Source πŸ“

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wrote: "This is a well written survey article on the construction of isospectral manifolds which are not isometric with emphasis on hyperbolic Riemann surfaces of constant negative curvature."
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Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978)
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Brooks, Robert (1981). "A relation between growth and the spectrum of the Laplacian".
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Brooks, Robert (1981). "The fundamental group and the spectrum of the Laplacian".
151:(Washington, D.C., September 16, 1952 – Montreal, September 5, 2002) was a 433:. Contemp. Math. Vol. 387. Providence, RI: Amer. Math. Soc. pp. 1–35. 140: 392: 227: 187: 128: 530: 77:
Spectral geometry, Riemann surfaces, circle packings, differential geometry
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Brooks, Robert (1988). "Constructing isospectral manifolds".
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Brooks, Robert (1981). "Some remarks on bounded cohomology".
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Academic staff of Technion – Israel Institute of Technology
465:(1987). "Foundations of the theory of bounded cohomology". 406:, ed. by Robert M. Weiss. Laurelhurst Publications, 2003. 427:(2005). "On the mathematical work of Robert Brooks". 580:
Harvard Graduate School of Arts and Sciences alumni
122: 104: 96: 81: 73: 63: 47: 28: 21: 184:The smooth cohomology of groups of diffeomorphisms 85:Alfred P. Sloan Fellowship, Guastella Fellowship 430:Geometry, spectral theory, groups, and dynamics 8: 18: 600:University of Southern California faculty 117:Technion – Israel Institute of Technology 416: 186:, was written under the supervision of 215: 7: 605:Mathematicians from Washington, D.C. 555:21st-century American mathematicians 550:20th-century American mathematicians 402:Brooks, Robert, "Form in Topology", 14: 321:Commentarii Mathematici Helvetici 230:to the bounded cohomology of its 196:University of Southern California 113:University of Southern California 467:Journal of Mathematical Sciences 194:(1979–1984), then at the 42:Washington, D.C., United States 373:10.1080/00029890.1988.11972094 198:, and then, from 1995, at the 1: 535:Mathematics Genealogy Project 360:American Mathematical Monthly 575:American emigrants to Israel 641: 625:21st-century American Jews 560:20th-century American Jews 391:Reviewer Maung Min-Oo for 218:), Brooks proved that the 282:Mathematische Zeitschrift 214:In an influential paper ( 134: 89: 526:Memorial page (Technion) 144:Robert W. Brooks (1985) 620:Sloan Research Fellows 610:Differential geometers 590:Israeli mathematicians 192:University of Maryland 155:known for his work in 145: 109:University of Maryland 16:American mathematician 404:The Magicians of Form 256:Selected publications 182:in 1977; his thesis, 169:differential geometry 143: 615:American topologists 250:Guastella fellowship 190:. He worked at the 149:Robert Wolfe Brooks 23:Robert Wolfe Brooks 479:10.1007/BF01086634 463:Ivanov, Nikolai V. 334:10.1007/BF02566228 295:10.1007/BF01174771 220:bounded cohomology 180:Harvard University 146: 68:Harvard University 39:September 16, 1952 232:fundamental group 224:topological space 157:spectral geometry 138: 137: 91:Scientific career 51:September 5, 2002 632: 531:Robert W. Brooks 513: 505: 499: 498: 473:(3): 1090–1115. 459: 453: 452: 421: 384: 353: 314: 275: 174:He received his 161:Riemann surfaces 124:Doctoral advisor 58:Montreal, Canada 54: 38: 36: 19: 640: 639: 635: 634: 633: 631: 630: 629: 540: 539: 522: 517: 516: 506: 502: 461: 460: 456: 441: 423: 422: 418: 413: 356: 317: 278: 261: 258: 244:Alfred P. Sloan 240: 212: 165:circle packings 64:Alma mater 59: 56: 52: 43: 40: 34: 32: 24: 17: 12: 11: 5: 638: 636: 628: 627: 622: 617: 612: 607: 602: 597: 592: 587: 582: 577: 572: 567: 562: 557: 552: 542: 541: 538: 537: 528: 521: 520:External links 518: 515: 514: 500: 454: 439: 415: 414: 412: 409: 408: 407: 399: 398: 397: 396: 386: 385: 367:(9): 823–839. 354: 328:(4): 581–598. 315: 289:(4): 501–508. 276: 257: 254: 253: 252: 247: 239: 236: 211: 208: 136: 135: 132: 131: 126: 120: 119: 106: 102: 101: 98: 94: 93: 87: 86: 83: 79: 78: 75: 74:Known for 71: 70: 65: 61: 60: 57: 55:(aged 49) 49: 45: 44: 41: 30: 26: 25: 22: 15: 13: 10: 9: 6: 4: 3: 2: 637: 626: 623: 621: 618: 616: 613: 611: 608: 606: 603: 601: 598: 596: 593: 591: 588: 586: 583: 581: 578: 576: 573: 571: 568: 566: 563: 561: 558: 556: 553: 551: 548: 547: 545: 536: 532: 529: 527: 524: 523: 519: 512: 509: 504: 501: 496: 492: 488: 484: 480: 476: 472: 468: 464: 458: 455: 450: 446: 442: 440:9780821885642 436: 432: 431: 426: 420: 417: 410: 405: 401: 400: 394: 390: 389: 388: 387: 382: 378: 374: 370: 366: 362: 361: 355: 351: 347: 343: 339: 335: 331: 327: 323: 322: 316: 312: 308: 304: 300: 296: 292: 288: 284: 283: 277: 273: 269: 265: 260: 259: 255: 251: 248: 245: 242: 241: 237: 235: 233: 229: 225: 221: 217: 209: 207: 205: 201: 197: 193: 189: 185: 181: 177: 172: 170: 166: 162: 158: 154: 153:mathematician 150: 142: 133: 130: 127: 125: 121: 118: 114: 110: 107: 103: 99: 95: 92: 88: 84: 80: 76: 72: 69: 66: 62: 50: 46: 31: 27: 20: 585:Israeli Jews 503: 470: 466: 457: 429: 425:Buser, Peter 419: 403: 364: 358: 325: 319: 286: 280: 263: 213: 183: 173: 148: 147: 105:Institutions 90: 53:(2002-09-05) 570:2002 deaths 565:1952 births 216:Brooks 1981 100:Mathematics 544:Categories 411:References 393:MathSciNet 246:fellowship 228:isomorphic 188:Raoul Bott 129:Raoul Bott 35:1952-09-16 495:122503635 350:121175762 311:122114581 200:Technion 533:at the 487:0806562 449:2179784 381:0967343 342:0656213 303:0638814 272:0624804 511:967343 493:  485:  447:  437:  379:  348:  340:  309:  301:  270:  238:Honors 167:, and 97:Fields 82:Awards 491:S2CID 346:S2CID 307:S2CID 222:of a 204:Haifa 178:from 176:Ph.D. 435:ISBN 210:Work 48:Died 29:Born 475:doi 369:doi 330:doi 291:doi 287:178 226:is 202:in 546:: 508:MR 489:. 483:MR 481:. 471:37 469:. 445:MR 443:. 377:MR 375:. 365:95 363:. 344:. 338:MR 336:. 326:56 324:. 305:. 299:MR 297:. 285:. 268:MR 234:. 206:. 171:. 163:, 159:, 115:, 111:, 497:. 477:: 451:. 383:. 371:: 352:. 332:: 313:. 293:: 274:. 37:) 33:(

Index

Harvard University
University of Maryland
University of Southern California
Technion – Israel Institute of Technology
Doctoral advisor
Raoul Bott
Robert W. Brooks (1985)
mathematician
spectral geometry
Riemann surfaces
circle packings
differential geometry
Ph.D.
Harvard University
Raoul Bott
University of Maryland
University of Southern California
Technion
Haifa
Brooks 1981
bounded cohomology
topological space
isomorphic
fundamental group
Alfred P. Sloan
Guastella fellowship
MR
0624804
Mathematische Zeitschrift
doi

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