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On his love for mathematics, Hironaka said "I accumulate anything to do with numbers. For instance, I have more than 10,000 photos of flowers and leaves. I like to just count the numbers and compare them. I am so pleased to be a mathematician, because I can see the mathematical interest in things."
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In 1980, he started a summer seminar for
Japanese high school students, and later created a program for Japanese and American college students. In 1984 he established the Japanese Association for Mathematical Sciences (JAMS) to fund these seminars, serving as executive director. Additional funding
33:
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to study physics, entering in 1949 and receiving his
Bachelor of Science and Master of Science from the University in 1954 and 1956. Hironaka initially studied physics, chemistry, and biology, but his third year as an undergraduate, he chose to move to taking courses in mathematics.
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noted that "In the 1980s there were few domestic grant opportunities for foreign travel or exchange today, one can see the fruits of
Hironaka’s efforts in the number of former JAMS fellows who have become professors of mathematics across the United States and Japan."
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such that most fibers are Kähler (and even projective), but one fiber is not Kähler. This can be used to show that several other plausible statements holding for smooth varieties of dimension at most 2 fail for smooth varieties of dimension at least 3.
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problem for which
Hironaka later received the Fields Medal. Hironaka has described his interest in this problem as having the logic and mystery of "a boy falling in love with a girl." In 1956, Akizuki invited then Harvard professor
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203:
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mathematics professor gave a lecture at his junior high school. Hironaka applied to the undergraduate program at
Hiroshima University, but was unsuccessful. However, the following year, he was accepted into
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in 1960, a
Brandeis Wien International Scholar who entered Japanese politics through her election to the House of Councillors in 1986. They have a son Jo, and daughter Eriko, who is also a mathematician.
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Hironaka recalled that he felt very close to approaching the solution while studying in
Harvard. Then, soon after getting his first teaching position at Brandeis, he realized that if he combined his
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background, developed under
Akizuki, allowed him to bring fresh insights into mathematics discussions in Harvard, which placed a greater emphasis on geometric perspectives. In 1958–1959,
313:, who would have a major influence on Hironaka's mathematical development. The group, informally known as the Akizuki School, discussed cutting-edge research developments including the
558:, a former high school drop-out and aspiring poet, encouraging his interest in pursuing math for graduate school. Huh won a Fields medal in 2022 for the linkages he found between
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Hironaka has been active in promoting mathematical education, particularly in Japan and South Korea. Hironaka wrote or co-authored 26 books on mathematics and other topics.
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In 2017 he posted to his personal webpage a manuscript that claims to prove the existence of a resolution of singularities in positive characteristic.
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experience from Kyoto, geometry of polynomials from
Harvard, and globalization technique from IHES, he had everything he needed to solve the problem.
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In 1957, Hironaka moved to the United States to attend
Harvard University as a doctoral student under the direction of Zariski. Hironaka's
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to Kyoto University. Hironaka took the opportunity to present his own research to Zariski, who suggested that Hironaka move to
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Hironaka, Heisuke (1962), "An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures.",
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visited Harvard University and was another important influence on Hironaka, inviting him to the
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614:"The Resolution of Singularities of an Algebraic Variety over a Field of Characteristic Zero."
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was received from corporations and the Japanese government. Harvard emeritus math professor
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Hironaka received a Fields Medal, the highest honor in mathematics, at the
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594:"On the arithmetic genera and the effective genera of algebraic curves,"
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from 1975–1983 and was the Institute Director from 1983–1985.
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1188:"He Dropped Out to Become a Poet. Now He's Won a Fields Medal"
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The same year, Hironaka was invited to a seminar group led by
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Hironaka returned to Japan for a joint professorship at the
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need not be Kähler. The example is a 1-parameter family of
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at Nice in 1970 at 39, just under the 40 year age limit.
1044:"Resolution of singularities in positive characteristics"
675:
Aroca, J. M.; Hironaka, Heisuke; Vicente, J. L. (1977). “
105:
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from 1964–1968 and became a professor of mathematics at
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On the characters ν \nu* and τ \tau* of singularities"
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in 2008–2009, Hironaka mentored undergraduate student
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Hironaka was an Associate Professor of Mathematics at
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Harvard University Department of Mathematics faculty
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In P. Hilton, F. Hirzebruch, and R. Remmert (Eds.),
344:
Returning to Harvard in 1960, Hironaka received his
853:Harvard Magazine, Harvard Magazine (May 25, 2011).
1906:Foreign members of the Russian Academy of Sciences
700:Aroca, J. M.; Hironaka, H; Vicente, J. L. (2018),
1254:
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448:to) a similar variety that has no singularities.
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661:“The theory of infinitely near singular points”
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1891:Institute for Advanced Study visiting scholars
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1282:Notices of the American Mathematical Society
948:Research Institute for Mathematical Sciences
828:Notices of the American Mathematical Society
693:Hironaka, H.; Janeczko, S. (Eds.). (2004). “
382:Research Institute for Mathematical Sciences
1076:John Simon Guggenheim Memorial Foundation..
287:
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978:"Former President of Yamaguchi University"
671:https://doi.org/10.4134/JKMS.2003.40.5.901
597:Mem. College Sci. Univ. Kyoto Ser. A Math.
31:
1901:Members of the French Academy of Sciences
656:(1): 325–327. DOI: 10.1215/kjm/1250524306
608:"On the theory of birational blowing-up,"
603:(2): 177-195. DOI: 10.1215/kjm/1250777055
1006:
918:"On the theory of birational blowing-up"
643:(1-2): 52-82. DOI: 10.2969/jmsj/02010052
635:“Formal functions and formal embeddings”
586:
468:International Congress of Mathematicians
1266:MacTutor History of Mathematics Archive
817:
679:" Memorias de Matematica del Instituto.
350:On the Theory of Birational Blowing-up.
339:Institut des Hautes Études Scientifique
1828:
1072:"Mathematics Archives - Page 13 of 20"
444:can be replaced by (more precisely is
292:Hironaka was born on April 9, 1931 in
204:On the Theory of Birational Blowing-up
1291:
1112:from the original on December 2, 2023
1082:from the original on December 2, 2023
865:from the original on December 1, 2023
758:from the original on December 2, 2023
1846:21st-century Japanese mathematicians
1841:20th-century Japanese mathematicians
1317:
1186:Cepelewicz, Jordana (July 5, 2022).
912:
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855:"Meet the 2011 Centennial Medalists"
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779:
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702:"Complex Analytic Desingularization"
430:singularities of algebraic varieties
13:
1916:Recipients of the Order of Culture
1886:Academic staff of Kyoto University
1162:"Complutense University of Madrid"
16:Japanese mathematician (born 1931)
14:
1937:
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1198:from the original on July 5, 2022
907:
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820:"Interview with Heisuke Hironaka"
802:
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280:in 1970 for his contributions to
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1284:; vol. 52, no. 9 (October 2005).
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515:Complutense University of Madrid
407:, showing that a deformation of
1921:Knights of the Legion of Honour
1911:Spouses of Japanese politicians
1278:Interview with Heisuke Hironaka
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818:Jackson, Allyn (October 2005).
625:https://doi.org/10.2307/1970486
1926:People from Iwakuni, Yamaguchi
1000:
970:
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877:
785:"Heisuke Hironaka - Biography"
534:Influence on Asian Mathematics
428:In 1964, Hironaka proved that
391:Hironaka was the president of
1:
1250:Mathematics Genealogy Project
1138:(in Japanese). Archived from
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403:In 1960, Hironaka introduced
363:from 1960–1963. He taught at
695:Geometric singularity theory
7:
1876:Columbia University faculty
1871:Brandeis University faculty
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315:resolution of singularities
266:
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677:Desingularization theorems
1861:Harvard University alumni
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684:"Fame, sweet and bitter."
552:Seoul National University
550:As visiting professor at
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371:from 1968 until becoming
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1271:University of St Andrews
527:Harvard Centennial Medal
508:Person of Cultural Merit
288:Early life and education
1881:Kyoto University alumni
688:Miscellanea mathematica
513:Honorary doctor of the
446:birationally equivalent
715:Hironaka decomposition
704:ISBN 978-4-431-70218-4
646:Hironaka, H. (1967), “
335:Alexander Grothendieck
1010:Annals of Mathematics
682:Hironaka, H. (1991),
659:Hironaka, H. (1974),
651:J. Math. Kyoto Univ.,
617:Annals of Mathematics
612:Hironaka, H. (1964),
606:Hironaka, H. (1960).
592:Hironaka, H. (1957).
587:Selected Publications
496:Guggenheim Fellowship
270:, born April 9, 1931)
1257:Robertson, Edmund F.
982:Yamaguchi University
944:"Professor Emeritus"
895:on February 12, 2012
720:Hironaka's criterion
664:J. Korean Math. Soc.
638:J. Math. Soc. Japan,
393:Yamaguchi University
298:Hiroshima University
276:who was awarded the
1851:Algebraic geometers
1255:O'Connor, John J.;
1142:on December 2, 2023
748:"Fields Medallists"
631:Matsumura, Hideyuki
490:Japan Academy Prize
453:commutative algebra
438:characteristic zero
365:Columbia University
361:Brandeis University
187:Columbia University
179:Brandeis University
56:Yuu-chō, Kuga-Gun,
1815:Mathematics portal
1261:"Heisuke Hironaka"
1051:Harvard University
922:hollis.harvard.edu
560:algebraic geometry
405:Hironaka's example
369:Harvard University
341:(IHES) in Paris.
324:Harvard University
282:algebraic geometry
183:Harvard University
102:Harvard University
67:Iwakuni, Yamaguchi
1823:
1822:
988:on March 10, 2014
574:Hironaka married
473:List of Awards:
442:algebraic variety
252:
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227:Doctoral students
159:Scientific career
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1856:Fields Medalists
1813:
1803:
1802:
1319:Fields Medalists
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1305:
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1289:
1288:
1276:Jackson, Allyn;
1273:
1246:Heisuke Hironaka
1233:
1232:
1230:
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1222:www.math.fsu.edu
1218:"Eriko Hironaka"
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984:. Archived from
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958:on April 4, 2014
954:. Archived from
952:Kyoto University
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752:Kyoto University
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521:Legion of Honour
502:Order of Culture
409:Kähler manifolds
395:from 1996–2002.
386:Kyoto University
303:Kyoto University
271:
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267:Hironaka Heisuke
263:
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255:Heisuke Hironaka
243:Bernard Teissier
239:Allen Tannenbaum
216:Doctoral advisor
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191:Kyoto University
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149:Legion of Honour
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142:Order of Culture
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93:Kyoto University
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25:Heisuke Hironaka
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835:(9): 1010–1019.
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1382:
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1283:
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1223:
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1213:
1197:
1193:
1189:
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1167:
1163:
1157:
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1137:
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1111:
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1103:
1097:
1081:
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1073:
1067:
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983:
979:
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957:
953:
949:
945:
939:
923:
919:
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894:
890:
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885:"GSAS ALUMNI"
880:
864:
860:
856:
849:
847:
845:
843:
834:
830:
829:
821:
814:
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790:
789:Maths History
786:
780:
778:
776:
774:
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753:
749:
743:
741:
736:
726:
723:
721:
718:
716:
713:
712:
703:
699:
696:
692:
690:(pp. 155-176)
689:
685:
681:
678:
674:
672:
668:
665:
662:
658:
655:
652:
649:
645:
642:
639:
636:
632:
628:
626:
623:(1):109-203.
622:
618:
615:
611:
609:
605:
602:
598:
595:
591:
590:
584:
580:
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576:Wakako Kimoto
570:Personal life
567:
565:
564:combinatorics
561:
557:
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548:
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378:
376:
375:
370:
366:
362:
352:
351:
347:
342:
340:
336:
332:
327:
325:
321:
320:Oscar Zariski
316:
312:
311:Yasuo Akizuki
307:
304:
299:
295:
285:
283:
279:
275:
274:mathematician
268:
256:
247:
244:
240:
236:
232:
229:
225:
222:
221:Oscar Zariski
219:
217:
213:
206:
205:
201:
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195:
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188:
184:
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177:
173:
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167:
163:
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156:
150:
143:
136:
129:
126:
122:
118:
115:
111:
107:
103:
98:
94:
91:
87:
84:
81:
77:
72:
68:
63:
59:
52:(age 93)
50:April 9, 1931
42:
38:
34:
29:
22:
19:
1451:
1430:Grothendieck
1281:
1264:
1227:November 30,
1225:. Retrieved
1221:
1212:
1202:November 30,
1200:. Retrieved
1191:
1181:
1169:. Retrieved
1165:
1156:
1144:. Retrieved
1140:the original
1135:
1126:
1114:. Retrieved
1105:
1096:
1084:. Retrieved
1075:
1066:
1054:. Retrieved
1038:
1014:
1008:
1002:
990:. Retrieved
986:the original
972:
960:. Retrieved
956:the original
938:
926:. Retrieved
921:
897:. Retrieved
893:the original
879:
867:. Retrieved
858:
832:
826:
792:. Retrieved
788:
760:. Retrieved
666:
663:
653:
650:
640:
637:
620:
616:
600:
596:
581:
573:
549:
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537:
484:Fields Medal
472:
465:
457:
450:
427:
402:
390:
379:
372:
358:
349:
343:
328:
308:
291:
278:Fields Medal
254:
253:
202:
175:Institutions
158:
135:Fields Medal
119:(née Kimoto)
65:(modern-day
18:
1836:1931 births
1766:2022
1739:2018
1712:2014
1685:2010
1658:2006
1641:2002
1614:1998
1587:1994
1560:1990
1538:1986
1516:1982
1489:1978
1472:1974
1445:1970
1418:1966
1401:1962
1384:1958
1367:1954
1350:1950
1333:1936
1171:December 2,
1146:December 2,
1116:December 2,
1086:December 2,
928:December 1,
869:December 1,
794:December 1,
478:Asahi Prize
434:resolutions
422:3-manifolds
169:Mathematics
128:Asahi Prize
79:Nationality
1830:Categories
1729:Mirzakhani
1626:Kontsevich
731:References
633:. (1967),
231:Dave Bayer
46:1931-04-09
1783:Viazovska
1756:Venkatesh
1648:Voevodsky
1643:Lafforgue
1616:Borcherds
1540:Donaldson
1496:Fefferman
1403:Hörmander
992:March 10,
962:March 10,
899:March 10,
762:March 10,
725:René Thom
377:in 1992.
294:Yamaguchi
58:Yamaguchi
1805:Category
1719:Bhargava
1665:Perelman
1660:Okounkov
1631:McMullen
1604:Zelmanov
1589:Bourgain
1562:Drinfeld
1550:Freedman
1545:Faltings
1523:Thurston
1501:Margulis
1474:Bombieri
1462:Thompson
1452:Hironaka
1352:Schwartz
1196:Archived
1110:Archived
1080:Archived
863:Archived
756:Archived
709:See also
556:June Huh
486:in 1970.
399:Research
374:emeritus
83:Japanese
1778:Maynard
1751:Scholze
1746:Figalli
1702:Villani
1697:Smirnov
1506:Quillen
1491:Deligne
1479:Mumford
1457:Novikov
1369:Kodaira
1357:Selberg
1340:Douglas
1335:Ahlfors
1248:at the
1132:"文化功労者"
1056:May 17,
1031:1970426
419:complex
416:compact
331:algebra
1741:Birkar
1724:Hairer
1675:Werner
1621:Gowers
1599:Yoccoz
1577:Witten
1518:Connes
1420:Atiyah
1408:Milnor
1166:ucm.es
1102:"文化勲章"
1029:
924:. 1960
529:(2011)
523:(2004)
517:(1981)
510:(1975)
504:(1975)
498:(1971)
492:(1970)
480:(1967)
462:Awards
432:admit
413:smooth
355:Career
209:(1960)
207:
198:Thesis
165:Fields
152:(2004)
145:(1975)
138:(1970)
131:(1967)
124:Awards
113:Spouse
1714:Avila
1594:Lions
1567:Jones
1447:Baker
1435:Smale
1425:Cohen
1374:Serre
1047:(PDF)
1027:JSTOR
823:(PDF)
261:広中 平祐
71:Japan
62:Japan
1572:Mori
1391:Thom
1386:Roth
1229:2023
1204:2022
1173:2023
1148:2023
1136:京都大学
1118:2023
1106:京都大学
1088:2023
1058:2017
994:2014
964:2014
930:2023
901:2014
871:2023
796:2023
764:2014
562:and
384:and
40:Born
1773:Huh
1692:Ngô
1670:Tao
1528:Yau
1019:doi
619:.,
436:in
346:PhD
106:PhD
1832::
1280:;
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861:.
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258:(
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104:(
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