Karen Vogtmann | |
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| Born | July 13, 1949 |
| Nationality | American |
| Alma mater | Ph.D., 1977 University of California, Berkeley |
| Known for | Culler–Vogtmann Outer space |
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| Scientific career | |
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| Institutions | |
| Thesis | Homology stability for 0n,n (1977) |
| Doctoral advisor | John Bason Wagoner |
| Doctoral students | |
Karen Vogtmann FRS (born July 13, 1949 in Pittsburg, California[1]) is an American mathematician working primarily in the area of geometric group theory. She is known for having introduced, in a 1986 paper with Marc Culler,[2] 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(Fn). Vogtmann is a professor of mathematics at Cornell University and the University of Warwick.
- ^ Biographies of Candidates 2002. Archived January 15, 2022, at the Wayback Machine Notices of the American Mathematical Society. September 2002, Volume 49, Issue 8, pp. 970–981
- ^ Culler, Marc; Vogtmann, Karen (1986), "Moduli of graphs and automorphisms of free groups" (PDF), Inventiones Mathematicae, 84 (1): 91–119, Bibcode:1986InMat..84...91C, doi:10.1007/BF01388734, S2CID 122869546, archived (PDF) from the original on June 12, 2007, retrieved November 29, 2008.