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János Pach

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31: 1411: 1406: 383:"for contributions to discrete and combinatorial geometry and to convexity and combinatorics." In 2022 he was elected corresponding member of the Hungarian Academy of Sciences. 1391: 133: 1416: 1184: 196: 1356: 1346: 1361: 1351: 1231: 1401: 1116: 303:
Some of Pach's most-cited research work concerns the combinatorial complexity of families of curves in the plane and their applications to
143:(1919–2001) was a well-known historian, and his mother Klára (née Sós, 1925–2020) was a university mathematics teacher; his maternal aunt 177: 170: 676: 1386: 336: 250: 203: 36: 1396: 1371: 1366: 612: 593: 570: 540: 512: 493: 474: 451: 429: 402: 1081: 908: 838: 224: 332: 1239: 364: 340: 212: 207: 1005:
de Fraysseix, Hubert; Pach, János; Pollack, Richard (1988), "Small sets supporting Fáry embeddings of planar graphs",
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Pach has authored several books and over 300 research papers. He was one of the most frequent collaborators of
1155: 805: 1381: 1258: 836:(1986), "On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles", 708: 562: 466: 380: 348: 159: 74: 1181: 628: 486:
Graph Drawing: 12th International Symposium, GD 2004, New York, NY, USA, September 29-October 2, 2004
1376: 234: 185: 1228: 344: 742: 138: 1341: 368: 117: 530: 424:, Wiley-Interscience Series in Discrete Mathematics and Optimization, John Wiley & Sons, 155: 1336: 1076: 867: 816: 690: 1040:
Pach, János; Wenger, Rephael (2001), "Embedding planar graphs at fixed vertex locations",
163: 8: 1317: 1252: 181: 1125: 1057: 1022: 956: 871: 554: 418: 899: 792: 112:(born May 3, 1954) is a mathematician and computer scientist working in the fields of 608: 589: 566: 536: 508: 489: 470: 447: 425: 413: 398: 372: 297: 281: 1205: 1140: 1061: 1026: 960: 352: 1135: 1090: 1049: 1012: 985: 946: 917: 847: 787: 550: 522: 308: 878:, "Arrangements of curves in the plane: topology, combinatorics, and algorithms", 664: 195:
Between 2008 and 2019, he was Professor of the Chair of Combinatorial Geometry at
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Pach, János; Tóth, Géza (1997), "Graphs drawn with few crossings per edge",
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Combinatorial Geometry and Its Algorithmic Applications: The Alcalá Lectures
266: 216:, and he serves on the editorial boards of several other journals including 990: 875: 833: 719: 581: 439: 316: 293: 1307: 731: 1161: 829: 1017: 974:
Pach, János; Tóth, Géza (2000), "Which crossing number is it, anyway?",
1095: 1053: 951: 922: 852: 764: 588:, Mathematical Surveys and Monographs, American Mathematical Society, 488:, Lecture Notes in Computer Science, vol. 3383, Springer-Verlag, 526: 1312: 1229:
ACM Names Fellows for Computing Advances that Are Driving Innovation
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Discrete and Computational Geometry: The Goodman–Pollack Festschrift
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Surveys on Discrete and Computational Geometry: Twenty Years Later
30: 1302: 1194: 129: 535:, MSRI Publications, vol. 52, Cambridge University Press, 446:, Algorithms and Combinatorics, vol. 25, Springer-Verlag, 397:, Algorithms and Combinatorics, vol. 10, Springer-Verlag, 376: 360: 1412:
Academic staff of the École Polytechnique Fédérale de Lausanne
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He was an invited speaker at the Combinatorics session of the
184:(since 1986), Distinguished Professor of Computer Science at 101: 1278: 296:, he initiated the systematic study of extremal problems on 1114:(2013), "Tight lower bounds for the size of epsilon-nets", 1006: 1280:
Corresponding members of the Hungarian Academy of Sciences
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Pach, János (1981), "A problem of Ulam on planar graphs",
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Brass, Peter; Moser, W. O. J.; Pach, János, eds. (2005),
442:; Basu, Saugata; Pach, János; et al., eds. (2003), 1407:
2011 fellows of the Association for Computing Machinery
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János Pach appointed as a full professor of mathematics
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15th Int. Colloq. Automata, Languages and Programming
132:. He comes from a noted academic family: his father, 897: 828: 438: 269:, authoring over 20 papers with him and thus has an 151:
are two of the best-known Hungarian mathematicians.
1074: 1392:Courant Institute of Mathematical Sciences faculty 886:, vol. 317, Springer-Verlag, pp. 214–229 874:; Pach, János; Pollack, Richard; Seidel, Raimund; 549: 417: 253:, in Seoul, 2014. He was a plenary speaker at the 72:, Hungary, (M.S., Math., 1977; Ph.D., Math., 1981) 395:New Trends in Discrete and Computational Geometry 244:Moscow Journal of Combinatorics and Number Theory 210:in 2015. He is co-editor-in-chief of the journal 1328: 902:(1992), "An upper bound on the number of planar 319:onto fixed sets of points, and lower bounds for 521: 502: 677:Pach Zsigmond Pálné (Sós Klára) (1925−2020), 1417:Fellows of the American Mathematical Society 1117:Journal of the American Mathematical Society 169:Since 1977, he has been affiliated with the 1079:(1992), "Almost tight bounds for ε-nets.", 561:, Contemporary Mathematics, vol. 453, 465:, Contemporary Mathematics, vol. 342, 411: 276:Pach's research is focused in the areas of 1203: 1109: 1039: 579: 178:Courant Institute of Mathematical Sciences 29: 1139: 1129: 1094: 1016: 989: 950: 921: 851: 791: 645: 643: 1008:Proc. 20th ACM Symp. Theory of Computing 973: 936: 532:Combinatorial and Computational Geometry 371:. In 2014 he was elected as a member of 331:Pach received the Grünwald Medal of the 251:International Congress of Mathematicians 204:International Symposium on Graph Drawing 197:École Polytechnique Fédérale de Lausanne 93:combinatorics and computational geometry 1313:János Pach in the EPFL people directory 747: 605:Thirty essays on geometric graph theory 288:problem, showing that there exists no 240:Central European Journal of Mathematics 1329: 660: 658: 640: 505:Research Problems in Discrete Geometry 188:(1992-2011), and Neilson Professor at 173:of the Hungarian Academy of Sciences. 1357:21st-century Hungarian mathematicians 1347:20th-century Hungarian mathematicians 1308:Chair of Combinatorial Geometry, EPFL 1082:Discrete & Computational Geometry 1068: 909:Discrete & Computational Geometry 839:Discrete & Computational Geometry 799: 732:Chair of Combinatorial Geometry, EPFL 359:in 2005. In 2011 he was listed as a 171:Alfréd Rényi Institute of Mathematics 1362:21st-century American mathematicians 1352:20th-century American mathematicians 1254:2016 Class of the Fellows of the AMS 1103: 775: 736: 713: 602: 483: 463:Towards a Theory of Geometric Graphs 460: 392: 326: 225:SIAM Journal on Discrete Mathematics 77:, (Candidate, 1983; Doctorate, 1995) 1402:Researchers in geometric algorithms 1240:Association for Computing Machinery 769: 655: 365:Association for Computing Machinery 341:Mathematical Association of America 213:Discrete and Computational Geometry 208:Symposium on Computational Geometry 118:discrete and computational geometry 13: 691:Interview with János Pach (2013), 311:that a planar point set may have, 14: 1428: 1296: 1204:Hasani, Ilire; Hoffmann, Robert. 884:Lecture Notes in Computer Science 779:European Journal of Combinatorics 333:János Bolyai Mathematical Society 292:. In the early 90s together with 202:He was the program chair for the 176:He was Research Professor at the 162:, in 1983, where his advisor was 1387:City College of New York faculty 754:List of Plenary Speakers at ECM. 298:topological and geometric graphs 255:European Congress of Mathematics 1271: 1245: 1222: 1206:"Academy of Europe: Pach János" 1175: 1148: 1141:10.1090/s0894-0347-2012-00759-0 1033: 998: 977:Journal of Combinatorial Theory 967: 930: 898:Pach, János; Steiger, William; 891: 860: 822: 810: 758: 307:problems the maximum number of 1303:Personal website of János Pach 725: 698: 684: 670: 650:Personal website of János Pach 357:Hebrew University of Jerusalem 102:Rényi Institute of Mathematics 1: 1397:Hungarian Academy of Sciences 1372:Hungarian computer scientists 1259:American Mathematical Society 1191:, from SFU Computing Science. 819:, retrieved October 23, 2008. 793:10.1016/s0195-6698(81)80043-1 709:Mathematics Genealogy Project 634: 563:American Mathematical Society 467:American Mathematical Society 381:American Mathematical Society 349:Hungarian Academy of Sciences 160:Hungarian Academy of Sciences 128:Pach was born and grew up in 75:Hungarian Academy of Sciences 1367:American computer scientists 1075:Komlós, János; Pach, János; 123: 7: 832:; Livne, Ron; Pach, János; 765:Computing Your Erdös Number 622: 260: 85:professor and mathematician 10: 1433: 667:, EPFL, December 12, 2007. 313:crossing numbers of graphs 629:Mountain climbing problem 603:Pach, János, ed. (2013), 484:Pach, János, ed. (2004), 461:Pach, János, ed. (2004), 393:Pach, János, ed. (1993), 97: 89: 81: 65: 43: 28: 21: 1320:publications indexed by 1042:Graphs and Combinatorics 743:List of Speakers at ICM. 386: 309:k-sets and halving lines 235:Graphs and Combinatorics 186:City College of New York 70:Eötvös Loránd University 16:Hungarian mathematician 991:10.1006/jctb.2000.1978 420:Combinatorial Geometry 369:computational geometry 290:universal planar graph 230:Computational Geometry 868:Edelsbrunner, Herbert 652:, New York University 284:. In 1981, he solved 1382:Graph drawing people 1011:, pp. 426–433, 367:for his research in 337:Lester R. Ford Award 1242:, December 8, 2011. 1164:on 4 September 2012 1018:10.1145/62212.62254 872:Guibas, Leonidas J. 507:, Springer-Verlag, 375:, and in 2015 as a 182:New York University 1234:2011-12-09 at the 1187:2008-06-24 at the 1096:10.1007/bf02187833 1077:Woeginger, Gerhard 1054:10.1007/PL00007258 952:10.1007/BF01215922 923:10.1007/BF02187829 853:10.1007/BF02187683 414:Agarwal, Pankaj K. 351:(1992). He was an 345:Alfréd Rényi Prize 257:(Portorož), 2021. 154:Pach received his 37:Graph Drawing 2009 1210:Academy of Europe 722:, Rényi Institute 614:978-1-4614-0110-0 595:978-0-8218-4691-9 572:978-0-8218-4239-3 551:Goodman, Jacob E. 542:978-0-521-84862-6 523:Goodman, Jacob E. 514:978-0-387-23815-9 495:978-3-540-24528-5 476:978-0-8218-3484-8 453:978-3-540-00371-7 431:978-0-471-58890-0 404:978-3-540-55713-5 373:Academia Europaea 327:Awards and honors 282:discrete geometry 164:Miklós Simonovits 134:Zsigmond Pál Pach 107: 106: 1424: 1291: 1289: 1288: 1287: 1275: 1269: 1267: 1266: 1265: 1249: 1243: 1226: 1220: 1219: 1217: 1216: 1201: 1192: 1179: 1173: 1172: 1171: 1169: 1152: 1146: 1144: 1143: 1133: 1107: 1101: 1099: 1098: 1072: 1066: 1064: 1037: 1031: 1029: 1020: 1002: 996: 994: 993: 971: 965: 963: 954: 934: 928: 926: 925: 900:Szemerédi, Endre 895: 889: 887: 864: 858: 856: 855: 826: 820: 814: 808: 803: 797: 796: 795: 773: 767: 762: 756: 751: 745: 740: 734: 729: 723: 720:Research Fellows 717: 711: 702: 696: 688: 682: 674: 668: 662: 653: 647: 617: 598: 575: 555:Pollack, Richard 545: 517: 498: 479: 456: 434: 423: 407: 343:(1990), and the 158:degree from the 147:and her husband 142: 57: 53: 51: 33: 19: 18: 1432: 1431: 1427: 1426: 1425: 1423: 1422: 1421: 1377:Graph theorists 1327: 1326: 1299: 1294: 1285: 1283: 1277: 1276: 1272: 1263: 1261: 1251: 1250: 1246: 1236:Wayback Machine 1227: 1223: 1214: 1212: 1202: 1195: 1189:Wayback Machine 1182:Short biography 1180: 1176: 1167: 1165: 1154: 1153: 1149: 1108: 1104: 1073: 1069: 1038: 1034: 1003: 999: 972: 968: 935: 931: 896: 892: 865: 861: 827: 823: 815: 811: 804: 800: 774: 770: 763: 759: 752: 748: 741: 737: 730: 726: 718: 714: 703: 699: 689: 685: 675: 671: 663: 656: 648: 641: 637: 625: 615: 596: 573: 557:, eds. (2008), 553:; Pach, János; 543: 529:, eds. (2005), 525:; Pach, János; 515: 496: 477: 454: 432: 405: 389: 329: 315:, embedding of 305:motion planning 263: 136: 126: 73: 66:Alma mater 61: 58: 55: 49: 47: 39: 24: 17: 12: 11: 5: 1430: 1420: 1419: 1414: 1409: 1404: 1399: 1394: 1389: 1384: 1379: 1374: 1369: 1364: 1359: 1354: 1349: 1344: 1339: 1325: 1324: 1322:Google Scholar 1315: 1310: 1305: 1298: 1297:External links 1295: 1293: 1292: 1270: 1244: 1221: 1193: 1174: 1147: 1124:(3): 645–658, 1102: 1089:(2): 163–173, 1067: 1048:(4): 717–728, 1032: 997: 984:(2): 225–246, 966: 945:(3): 427–439, 929: 916:(1): 109–123, 890: 859: 821: 817:Google scholar 809: 798: 786:(4): 357–361, 768: 757: 746: 735: 724: 712: 697: 683: 669: 654: 638: 636: 633: 632: 631: 624: 621: 620: 619: 613: 600: 594: 577: 571: 547: 541: 519: 513: 500: 494: 481: 475: 458: 452: 436: 430: 409: 403: 388: 385: 353:Erdős Lecturer 328: 325: 262: 259: 125: 122: 105: 104: 99: 95: 94: 91: 90:Known for 87: 86: 83: 79: 78: 67: 63: 62: 59: 45: 41: 40: 35:János Pach at 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 1429: 1418: 1415: 1413: 1410: 1408: 1405: 1403: 1400: 1398: 1395: 1393: 1390: 1388: 1385: 1383: 1380: 1378: 1375: 1373: 1370: 1368: 1365: 1363: 1360: 1358: 1355: 1353: 1350: 1348: 1345: 1343: 1342:Living people 1340: 1338: 1335: 1334: 1332: 1323: 1319: 1316: 1314: 1311: 1309: 1306: 1304: 1301: 1300: 1282: 1281: 1274: 1260: 1256: 1255: 1248: 1241: 1237: 1233: 1230: 1225: 1211: 1207: 1200: 1198: 1190: 1186: 1183: 1178: 1163: 1159: 1158: 1151: 1142: 1137: 1132: 1127: 1123: 1119: 1118: 1113: 1112:Tardos, Gábor 1110:Pach, János; 1106: 1097: 1092: 1088: 1084: 1083: 1078: 1071: 1063: 1059: 1055: 1051: 1047: 1043: 1036: 1028: 1024: 1019: 1014: 1010: 1009: 1001: 992: 987: 983: 979: 978: 970: 962: 958: 953: 948: 944: 940: 939:Combinatorica 933: 924: 919: 915: 911: 910: 905: 901: 894: 885: 881: 877: 876:Sharir, Micha 873: 869: 863: 854: 849: 845: 841: 840: 835: 834:Sharir, Micha 831: 825: 818: 813: 807: 802: 794: 789: 785: 781: 780: 772: 766: 761: 755: 750: 744: 739: 733: 728: 721: 716: 710: 706: 701: 695: 694: 687: 681: 680: 673: 666: 661: 659: 651: 646: 644: 639: 630: 627: 626: 616: 610: 606: 601: 597: 591: 587: 583: 582:Sharir, Micha 580:Pach, János; 578: 574: 568: 564: 560: 556: 552: 548: 544: 538: 534: 533: 528: 524: 520: 516: 510: 506: 501: 497: 491: 487: 482: 478: 472: 468: 464: 459: 455: 449: 445: 441: 440:Aronov, Boris 437: 433: 427: 422: 421: 415: 412:Pach, János; 410: 406: 400: 396: 391: 390: 384: 382: 378: 374: 370: 366: 362: 358: 354: 350: 346: 342: 338: 334: 324: 322: 318: 317:planar graphs 314: 310: 306: 301: 299: 295: 291: 287: 283: 279: 278:combinatorics 274: 272: 268: 258: 256: 252: 247: 245: 241: 237: 236: 231: 227: 226: 221: 220: 219:Combinatorica 215: 214: 209: 205: 200: 198: 193: 192:(2008-2009). 191: 190:Smith College 187: 183: 179: 174: 172: 167: 165: 161: 157: 152: 150: 146: 140: 135: 131: 121: 119: 115: 114:combinatorics 111: 103: 100: 96: 92: 88: 84: 82:Occupation(s) 80: 76: 71: 68: 64: 56:(age 70) 46: 42: 38: 32: 27: 20: 1284:, retrieved 1279: 1273: 1262:, retrieved 1253: 1247: 1224: 1213:. Retrieved 1209: 1177: 1166:, retrieved 1162:the original 1156: 1150: 1121: 1115: 1105: 1086: 1080: 1070: 1045: 1041: 1035: 1007: 1000: 981: 980:, Series B, 975: 969: 942: 938: 932: 913: 907: 903: 893: 879: 862: 846:(1): 59–71, 843: 837: 830:Kedem, Klara 824: 812: 801: 783: 777: 771: 760: 749: 738: 727: 715: 700: 693:in Hungarian 692: 686: 679:in Hungarian 678: 672: 607:, Springer, 604: 585: 558: 531: 504: 485: 462: 443: 419: 394: 335:(1982), the 330: 321:epsilon-nets 302: 294:Micha Perles 275: 271:Erdős number 264: 248: 243: 239: 233: 229: 223: 217: 211: 206:in 2004 and 201: 194: 175: 168: 153: 127: 109: 108: 1337:1954 births 806:AMS Meeting 145:Vera T. Sós 137: [ 54:May 3, 1954 1331:Categories 1318:János Pach 1286:2022-05-21 1264:2015-11-16 1215:2022-12-19 705:János Pach 635:References 527:Emo, Welzl 267:Paul Erdős 110:János Pach 50:1954-05-03 23:János Pach 1157:Rényi-díj 1131:1012.1240 347:from the 339:from the 156:Candidate 149:Pál Turán 124:Biography 1232:Archived 1185:Archived 1062:36270095 1027:15230919 961:20480170 906:-sets", 623:See also 584:(2009), 416:(1995), 273:of one. 261:Research 1168:8 March 707:at the 379:of the 363:of the 130:Hungary 98:Website 60:Hungary 1060:  1025:  959:  611:  592:  569:  539:  511:  492:  473:  450:  428:  401:  377:fellow 361:fellow 286:Ulam's 242:, and 1126:arXiv 1058:S2CID 1023:S2CID 957:S2CID 387:Books 141:] 1170:2010 609:ISBN 590:ISBN 567:ISBN 537:ISBN 509:ISBN 490:ISBN 471:ISBN 448:ISBN 426:ISBN 399:ISBN 280:and 116:and 44:Born 1136:doi 1091:doi 1050:doi 1013:doi 986:doi 947:doi 918:doi 848:doi 788:doi 355:at 180:at 1333:: 1257:, 1238:, 1208:. 1196:^ 1134:, 1122:26 1120:, 1085:, 1056:, 1046:17 1044:, 1021:, 982:80 955:, 943:17 941:, 912:, 882:, 870:; 842:, 782:, 657:^ 642:^ 565:, 469:, 323:. 300:. 246:. 238:, 232:, 228:, 222:, 199:. 166:. 139:hu 120:. 52:) 1290:. 1268:. 1218:. 1145:. 1138:: 1128:: 1100:. 1093:: 1087:7 1065:. 1052:: 1030:. 1015:: 995:. 988:: 964:. 949:: 927:. 920:: 914:7 904:K 888:. 857:. 850:: 844:1 790:: 784:2 618:. 599:. 576:. 546:. 518:. 499:. 480:. 457:. 435:. 408:. 48:(

Index


Graph Drawing 2009
Eötvös Loránd University
Hungarian Academy of Sciences
Rényi Institute of Mathematics
combinatorics
discrete and computational geometry
Hungary
Zsigmond Pál Pach
hu
Vera T. Sós
Pál Turán
Candidate
Hungarian Academy of Sciences
Miklós Simonovits
Alfréd Rényi Institute of Mathematics
Courant Institute of Mathematical Sciences
New York University
City College of New York
Smith College
École Polytechnique Fédérale de Lausanne
International Symposium on Graph Drawing
Symposium on Computational Geometry
Discrete and Computational Geometry
Combinatorica
SIAM Journal on Discrete Mathematics
Graphs and Combinatorics
International Congress of Mathematicians
European Congress of Mathematics
Paul Erdős

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