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Karen Vogtmann (born July 13, 1949 in Pittsburg, California〔(''Biographies of Candidates 2002.'' ) Notices of the American Mathematical Society. September 2002, Volume 49, Issue 8, pp. 970–981〕) is a U.S. mathematician working primarily in the area of geometric group theory. She is known for having introduced, in a 1986 paper with Marc Culler, an object now known as the Culler–Vogtmann Outer space. The Outer space is a free group analog of the Teichmüller space of a Riemann surface and is particularly useful in the study of the group of outer automorphisms of the free group on ''n'' generators, Out(''F''''n''). Vogtmann is a Professor of Mathematics at Cornell University and The University of Warwick. ==Biographical data== Vogtmann was inspired to pursue mathematics by a National Science Foundation summer program for high school students at the University of California, Berkeley.〔 She received a B.A. from the University of California, Berkeley in 1971. Vogtmann then obtained a PhD in Mathematics, also from the University of California, Berkeley in 1977.〔(''Biographies of Candidates 2007.'' ) Notices of the American Mathematical Society. September 2007, Volume 54, Issue 8, pp. 1043–1057〕 Her PhD advisor was John Wagoner and her doctoral thesis was on algebraic K-theory.〔(Karen Vogtmann ), 2007 Noether Lecture, Profiles of Women in Mathematics. The Emmy Noether Lectures. Association for Women in Mathematics. Accessed November 28, 2008〕 She then held positions at University of Michigan, Brandeis University and Columbia University.〔(Karen Vogtmann's Curriculum Vitae )〕 Vogtmann has been a faculty member at Cornell University since 1984, and she became a Full Professor at Cornell in 1994.〔 In September 2013, she also joined the University of Warwick. She currently maintains positions both at Cornell and Warwick.〔 ()〕 Vogtmann gave an Invited Lecture at the International Congress of Mathematicians in Madrid, Spain in August 2006.〔(ICM 2006 – Invited Lectures. Abstracts ), International Congress of Mathematicians, 2006.〕〔Karen Vogtmann, ''The cohomology of automorphism groups of free groups.'' International Congress of Mathematicians. Vol. II, 1101–1117, Invited lectures. Proceedings of the congress held in Madrid, August 22–30, 2006. Edited by Marta Sanz-Solé, Javier Soria, Juan Luis Varona and Joan Verdera. European Mathematical Society (EMS), Zürich, 2006. ISBN 978-3-03719-022-7〕 She gave the 2007 annual AWM Noether Lecture titled "Automorphisms of Free Groups, Outer Space and Beyond" at the annual meeting of American Mathematical Society in New Orleans in January 2007.〔〔(Invited Addresses, Sessions, and Other Activities. AMS 2007 Annual Meeting. ) American Mathematical Society. Accessed November 28, 2008〕 Vogtmann was selected to deliver the Noether Lecture for "her fundamental contributions to geometric group theory; in particular, to the study of the automorphism group of a free group".〔(Karen Vogtmann named 2007 Noether Lecturer. ) Association for Women in Mathematics press release. May 2, 2006. Accessed November 29, 2008〕 Vogtmann has been the Vice-President of the American Mathematical Society (2003–2006).〔〔(2002 Election results. ) Notices of the American Mathematical Society. February 2003, Volume 50 Issue 2, p. 281〕 She has been elected to serve as a member of the Board of Trustees of the American Mathematical Society for the period February 2008 – January 2013.〔(2007 Election Results. ) Notices of the American Mathematical Society. February 2008, Volume 55, Issue 2, p. 301〕 Vogtmann is an Editorial Board member of the journal ''Algebraic and Geometric Topology''.〔(Editorial Board. ) Algebraic and Geometric Topology. Accessed November 28, 2008〕 She is also a member of the ArXiv Advisory Board.〔(ArXiv Advisory Board. ) ArXiv. Accessed November 27, 2008〕 Since 1986 Vogtmann has been a co-organizer of the annual conference called the ''Cornell Topology Festival''〔(Cornell Topology Festival, grant summary. ) Cornell University. Accessed November 28, 2008〕 that usually takes places at Cornell University each May. On June 21–25, 2010 a 'VOGTMANNFEST' Geometric Group Theory conference in honor of Karen Vogtmann's birthday was held in Luminy, France.〔( VOGTMANNFEST ), conference info. Department of Mathematics, University of Utah. Accessed July 13, 2010〕 In 2012 she became a fellow of the American Mathematical Society.〔(List of Fellows of the American Mathematical Society ), retrieved 2013-08-29.〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Karen Vogtmann」の詳細全文を読む スポンサード リンク
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