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22:(born 2 December 1940) is an American mathematician, specializing in finitely presented groups and their geometric properties.
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532:. Mathematical Sciences Research Institute Publications. Vol. 23. New York: Springer. pp. 195–224.
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Gersten, S. M.; Short, Hamish B. (1990). "Small cancellation theory and automatic groups".
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he became a professor in 1975 and is now semi-retired there. His PhD students include
467:; Gersten, S.M.; Shapiro, Michael; Short, H. (1991). "Automatic groups and amalgams".
402:. Mathematical Sciences Research Institute Publications. Vol. 8. pp. 15–73.
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276:; Gersten, Stephen M. (1973). "Algebraic K-theory as generalized sheaf cohomology".
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Gersten, S. M.; Short, H. B. (1991). "Rational
Subgroups of Biautomatic Groups".
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Proceedings of the
International Congress of Mathematicians, Vancouver, 1974
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Gersten, S. M. (1987). "Reducible
Diagrams and Equations over Groups".
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528:-norms of Finite Presentations". In Baumslag G.; Miller C.F. (eds.).
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339:"On fixed points of automorphisms of finitely generated free groups"
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565:"Isoperimetric and isodiametric functions of finite presentations"
280:. Lecture Notes in Mathematics. Vol. 341. pp. 266–292.
677:
Gersten, S. M. (1975). "Class Groups of
Supplemented Algebras".
305:"A short proof of the algebraic Weierstrass preparation theorem"
692:
Mochizuki, Satoshi (2016). "A survey of
Gersten's conjecture".
250:. Lecture Notes in Mathematics. Vol. 341. pp. 3–42.
571:. Vol. 1. Cambridge University Press. pp. 79–96.
530:
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Gersten's conjecture has motivated considerable research.
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Gersten, S. M.; Stallings, John R., eds. (21 May 1987).
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361:(This paper presents a proof of a conjecture made by
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246:Gersten, S. M. (1973). "Higher K-theory of rings".
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41:. In the late 1960s and early 1970s he taught at
310:Proceedings of the American Mathematical Society
45:. In 1972–1973 he was a visiting scholar at the
896:University of Illinois Urbana-Champaign faculty
715:"Fixed points of automorphisms of free groups"
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376:Bulletin of the American Mathematical Society
343:Bulletin of the American Mathematical Society
225:Bulletin of the American Mathematical Society
178:Bulletin of the American Mathematical Society
8:
521:Gersten, S. M. (1992). "Dehn Functions and
53:. In 1974 he was an Invited Speaker at the
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626:Mathematics Department, University of Utah
51:University of Illinois at Urbana–Champaign
25:Gersten graduated in 1961 with an AB from
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55:International Congress of Mathematicians
755:Combinatorial Group Theory and Topology
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49:. In 1973 he became a professor at the
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35:Class Groups of Supplemented Algebras
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881:Alumni of Trinity College, Cambridge
871:21st-century American mathematicians
866:20th-century American mathematicians
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470:Journal of Pure and Applied Algebra
799:. You can help Knowledge (XXG) by
16:American mathematician (born 1940)
14:
324:10.1090/S0002-9939-1983-0702313-2
37:written under the supervision of
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681:. Vol. 1. pp. 309–314.
390:10.1090/S0273-0979-1984-15246-7
356:10.1090/S0273-0979-1983-15116-9
331:Weierstrass preparation theorem
238:10.1090/S0002-9904-1973-13150-7
191:10.1090/S0002-9904-1972-12924-0
759:. Princeton University Press.
154:"On the spectrum of algebraic
1:
646:Mathematics Genealogy Project
737:10.1016/0001-8708(87)90004-1
663:Institute for Advanced Study
483:10.1016/0022-4049(91)90139-S
221:-theory for regular schemes"
47:Institute for Advanced Study
29:and in 1965 with a PhD from
876:Princeton University alumni
538:10.1007/978-1-4613-9730-4_9
408:10.1007/978-1-4613-9586-7_2
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891:University of Utah faculty
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371:"On Whitehead's algorithm"
33:. His doctoral thesis was
31:Trinity College, Cambridge
142:} is finitely generated.
428:Inventiones Mathematicae
88:is an automorphism of a
886:Rice University faculty
723:Advances in Mathematics
713:Gersten, S. M. (1987).
369:Gersten, S. M. (1984).
337:Gersten, S. M. (1983).
303:Gersten, S. M. (1983).
199:Gersten, S. M. (1973).
152:Gersten, S. M. (1972).
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593:Baumslag–Gersten group
569:Geometric group theory
563:Gersten, S.M. (1993).
400:Essays in Group Theory
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791:This article about a
493:Annals of Mathematics
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146:Selected publications
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57:in Vancouver. At the
861:American topologists
658:"Stephen M. Gersten"
619:"Stephen M. Gersten"
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27:Princeton University
901:Mathematician stubs
441:1990InMat.102..305G
666:. 9 December 2019.
642:Stephen M. Gersten
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90:finitely generated
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59:University of Utah
20:Stephen M. Gersten
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465:Baumslag, Gilbert
417:978-1-4613-9588-1
295:978-3-540-06434-3
278:Higher K-Theories
274:Brown, Kenneth S.
265:978-3-540-06434-3
248:Higher K-Theories
214:{\displaystyle K}
167:{\displaystyle K}
131:{\displaystyle =}
80:Gersten's theorem
39:John R. Stallings
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435:: 305–334.
231:: 193–197.
840:Categories
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599:References
93:free group
556:0940-4740
457:120267906
587:See also
201:"Higher
174:-theory"
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