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276:. Aschbacher considered himself somewhat of an outsider in the world of conventional group theory, claiming that he was not "plugged into the system at that point in time". Although he had access to several preprints that were shared among the practitioners of the field, he reproduced many proofs that had already been discovered by other researchers and published them in his early papers. Aschbacher only became interested in
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context of its author. As a result, responsibility of finding errors in the classification problem was up to the entire community of researchers rather than just peer-reviewers alone. That
Aschbacher's proofs were hard to read was not due to a lack of ability, but rather to the astounding complexity of the ideas he was able to produce.
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In fact, the rate of
Aschbacher's results proved so astounding that many other mathematicians decided to leave the field to pursue other problems. Aschbacher was proving one major result after another and when he announced his progress at the Duluth conference, mathematicians were convinced that the
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arguments. As
Aschbacher's proofs became longer, it became even more difficult for others to understand his proofs. Even some of his own coauthors had trouble reading their own papers. From that point on, researchers no longer read papers as independent documents, but rather ones that required the
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However, Aschbacher's entrance into the field did not come without difficulties. His papers, beginning with the first he wrote in the field for publication, were very difficult to read. Some commented that his proofs lacked explanations of very sophisticated
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had not been finished. This gap was fixed by
Aschbacher and Stephen D. Smith in 2004, in a pair of books comprising about 1300 pages. Aschbacher is currently the Shaler Arthur Hanisch Professor of Mathematics at the
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problem was almost solved. This conference represented a turning point for the problem as many mathematicians (in particular those relatively new to the field) decided to leave the field to pursue other problems.
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in 1969. He joined the faculty of the
California Institute of Technology in 1970 and became a full professor in 1976. He was a visiting scholar at the
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and was able to utilize many techniques developed in this area to make early contributions to the study of
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in the 1970s and 1980s. It later turned out that the classification was incomplete, because the case of
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The classification of quasithin groups. II Main theorems: the classification of simple QTKE-groups.
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The classification of quasithin groups. I Structure of
Strongly Quasithin K-groups
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Michael
Aschbacher is being awarded The Rolf Schock Prize in Mathematics
423:, Mathematical Surveys and Monographs, vol. 112, Providence, R.I.:
388:, Mathematical Surveys and Monographs, vol. 111, Providence, R.I.:
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30:"Aschbacher" redirects here. For the similar name Ă„schbacher, see
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Steingart, Alma (2012). "A group theory of group theory".
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Steingart, Alma (2012). "A group theory of group theory".
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Steingart, Alma (2012). "A group theory of group theory".
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Steingart, Alma (2012). "A group theory of group theory".
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Members of the United States
National Academy of Sciences
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in 1990. In 1992, Aschbacher was elected a Fellow of the
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Institute for
Advanced Study: A Community of Scholars
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American Academy of Arts and Sciences
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List of Fellows of the American Mathematical Society
272:In 1973, Aschbacher became a leading figure in the
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296:, said that Aschbacher's entrance was "dramatic".
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197:classification of finite simple groups
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187:(born April 8, 1944) is an American
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252:in 2011. In 2012 he received the
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232:in 1978–79. He was awarded the
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1247:Willard Van Orman Quine
573:, retrieved 2012-11-03.
248:for Mathematics by the
1191:Mathematics portal
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343:3-Transposition groups
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254:Leroy P. Steele Prize
244:. He was awarded the
128:Leroy P. Steele Prize
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696:(2). sagepub: 201.
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1590:Gidon Kremer
1560:Jorma Panula
1541:Musical arts
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1525:Francis AlĂżs
1503:Anne Lacaton
1441:Rafael Moneo
1400:Yitang Zhang
1393:
1352:Andrew Wiles
1329:David Kaplan
1301:Derek Parfit
1289:Thomas Nagel
1182:
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1071:
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940:JĂĽrgen Moser
934:Jacques Tits
863:Atle Selberg
819:Lars Ahlfors
809:Henri Cartan
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108:Group theory
1648:1944 births
1491:Mona Hatoum
1434:Visual arts
1339:Mathematics
1319:Dag Prawitz
1271:Saul Kripke
893:John Milnor
466:: 115–121,
151:Mathematics
80:Nationality
32:Aeschbacher
1642:Categories
1358:Mikio Sato
1265:John Rawls
1259:Dana Scott
1171:Adi Shamir
1007:Mikio Sato
987:Raoul Bott
869:Kiyosi ItĂ´
843:Paul Erdős
833:Mark Krein
792:André Weil
788:Jean Leray
484:References
234:Cole Prize
133:Wolf Prize
118:Cole Prize
62:1944-04-08
18:Aschbacher
1234:laureates
1167:Noga Alon
1033:(2006/07)
1013:(2002/03)
1011:John Tate
962:(1996/97)
952:(1995/96)
942:(1994/95)
873:Peter Lax
855:(1984/85)
853:Hans Lewy
845:(1983/84)
710:124145940
675:124145940
640:124145940
605:124145940
540:25 April
515:Archived
452:(2006),
306:counting
84:American
499:at the
443:2097624
408:2097623
224:at the
125:(2011)
120:(1980)
1628:(2022)
1622:(2020)
1616:(2018)
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1598:(2011)
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147:Fields
135:(2012)
130:(2012)
114:Awards
1477:SANAA
1138:2020s
1055:2010s
980:2000s
903:1990s
802:1980s
771:1970s
706:S2CID
671:S2CID
636:S2CID
601:S2CID
534:(PDF)
313:Books
222:Ph.D.
542:2011
429:ISBN
394:ISBN
370:ISBN
358:ISBN
346:ISBN
334:ISBN
322:ISBN
56:Born
698:doi
663:doi
628:doi
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557:,
468:doi
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