Karen Vogtmann

Karen Vogtmann
Born (1949-07-13) July 13, 1949 (age 75)
NationalityAmerican
Alma materPh.D., 1977 University of California, Berkeley
Known forCuller–Vogtmann Outer space
Awards
Scientific career
Fields
Institutions
Thesis Homology stability for 0n,n  (1977)
Doctoral advisorJohn 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.

  1. ^ 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
  2. ^ 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.