145:. Building on this work he developed a modified theory of surgery which is applicable under weaker conditions than classical surgery and he applied this theory to solve outstanding questions in differential geometry. In the 2000s (decade), he considered examples of asymmetric topological manifolds, finding the first example of such a manifold with trivial fundamental group.
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Kreck worked on the classification of manifolds in differential topology (e.g. bordism groups), 4-manifolds with exotic differentiable structure and the interaction of differential geometry and topology. In his habilitation in 1977 he managed the complete classification of closed smooth manifolds
125:. From 2007 until October 2011 he was the founding director of the Hausdorff Research Institute for Mathematics at the University of Bonn. In 1981/82 and from 1989 to 1992 he was visiting professor at the
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101:. From 1972 to 1976 he studied Protestant theology in Bonn: in a similar period he was also assistant from 1970 to 1976 to professor Hirzebruch. In 1977 he completed his
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Including work with relations to elementary particle physics (Kaluza-Klein theories) and 7-dimensional manifolds. Kreck, "Is the universe exotic?", Universitas 1988
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198:, he initiated a "declaration of university professors on academic standards" and the accompanying petition. The original signatories included, e.g.
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in Bonn. He was also a guest researcher at places including Paris, Princeton, Berkeley, Chicago, Aarhus, St. Petersburg, Moscow and
Beijing.
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93:. In 1970 he submitted his diploma in Mathematics in Bonn and in 1972 he received his doctorate there under the supervision of
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Hambleton, Ian; Kreck, Matthias (1988). "On the classification of topological 4-manifolds with finite fundamental group".
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and studied mathematics and physics from 1966 to 1970, and business administration at the
Universities of
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Matthias Kreck
Elected Corresponding Member of the "Niedersächsische Akademie der Wissenschaften"
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Exotic structures on 4-manifolds, annual report, DMV, Bd.88, 1986, pp. 124–145
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Wolfgang LĂĽck on the Cantor medal for
Matthias Kreck, notices of the DMV 2010, pdf
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with diffeomorphisms up to bordism: a problem that had already been worked on by
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Differential algebraic topology : from stratifolds to exotic spheres
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Differential algebraic topology : from stratifolds to exotic spheres
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and from
October 2006 to September 2011 he was the director of the
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Kreck on the role of belief in mathematics, MM Warburg, 2008, pdf
537:"Declaration of university professors on academic standards"
176:. In 2023, he was elected as a corresponding member of the
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university protocols for an honorary doctorate in Siegen
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Academic staff of
Johannes Gutenberg University Mainz
329:. Providence, R.I.: American Mathematical Society.
245:. Providence, R.I.: American Mathematical Society.
300:The Novikov conjecture : geometry and algebra
160:. In 2003 he was made an honorary doctor of the
434:Kreck, Matthias (1999). "Surgery and duality".
119:Oberwolfach Research Institute for Mathematics
99:An invariant for stably parallelized manifolds
48:Oberwolfach Research Institute for Mathematics
625:Academic staff of the University of Wuppertal
270:Bordism of diffeomorphisms and related topics
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178:Göttingen Academy of Sciences and Humanities
117:. From 1994 to 2002 he was director of the
66:Kreck grew up as the son of the theologian
46:. From 1994 to 2002 he was director of the
156:. Since 2000 he has been a member of the
640:Academic staff of the University of Bonn
298:Kreck, Matthias; LĂĽck, Wolfgang (2005).
635:Academic staff of Heidelberg University
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595:Literature by and about Matthias Kreck
231:In his spare time he plays the cello.
148:From 1990 to 1998 he was an editor of
121:. In 1999 he became professor at the
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189:Max Planck Institute for Mathematics
127:Max Planck Institute for Mathematics
620:21st-century German mathematicians
615:20th-century German mathematicians
572:at the Hausdorff Institute in Bonn
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398:Commentarii Mathematici Helvetici
107:Bordism groups of diffeomorphisms
52:Hausdorff Center for Mathematics
194:In February 2011 following the
105:in Bonn in Mathematics, titled
187:, presently a Director of the
158:Heidelberg Academy of Sciences
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590:Mathematics Genealogy Project
525:Mathematics Genealogy Project
196:Guttenberg plagiarism scandal
164:. In 2010 he was awarded the
113:and in 1978 he moved to the
272:. Berlin: Springer-Verlag.
170:German Mathematical Society
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183:Among his PhD students is
152:and from 1998 to 2002 for
660:University of Bonn alumni
570:Matthias Kreck's website
325:Kreck, Matthias (2010).
268:Kreck, Matthias (1984).
241:Kreck, Matthias (2010).
123:University of Heidelberg
599:German National Library
111:University of Wuppertal
97:, with a thesis titled
34:(born 22 July 1947, in
665:People from Dillenburg
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437:Annals of Mathematics
355:Mathematische Annalen
302:. Basel: Birkhäuser.
154:Archiv der Mathematik
150:Mathematische Annalen
44:Differential topology
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162:University of Siegen
95:Friedrich Hirzebruch
16:German mathematician
115:University of Mainz
645:German topologists
411:10.1007/bf02566016
368:10.1007/bf01474183
56:University of Bonn
40:Algebraic Topology
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391:Kreck, Matthias;
336:978-0-8218-4898-2
279:978-3-540-38912-5
252:978-0-8218-4898-2
174:Gauss Lectureship
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450:10.2307/121071
444:(3): 707–754.
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172:awarded him a
168:. In 2012 the
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62:Life and work
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551:. Retrieved
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68:Walter Kreck
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650:1947 births
226:Werner Nahm
214: [
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25:Oberwolfach
609:Categories
553:2011-10-30
91:Regensburg
36:Dillenburg
601:catalogue
482:Footnotes
384:122269475
345:444109034
318:288229257
288:277186968
261:444109034
191:in Bonn.
135:René Thom
23:Kreck in
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87:Berlin
27:, 2000
547:(PDF)
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470:S2CID
454:JSTOR
423:S2CID
380:S2CID
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341:OCLC
331:ISBN
314:OCLC
304:ISBN
284:OCLC
274:ISBN
257:OCLC
247:ISBN
224:and
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83:Bonn
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
