Karen Vogtmann

Karen Vogtmann ( born July 13, 1949 in Pittsburg ( California)) is an American mathematician who deals with algebra and topology.

Vogtmann studied at the University of California, Berkeley, in 1971 where they made ​​her bachelor 's degree in mathematics and her doctorate in 1977 at John Wagoner ( Homology stability of). After that, she was at the University of Michigan, Brandeis University and Columbia University. Since 1984 she is at Cornell University, where since 1994 she has a full professorship.

Vogtmann dealt with geometric group theory and low-dimensional topology Gruppenkohomologie. She led with Marc Culler 1986 the term Outer Space in the geometric theory of the group of outer automorphisms of a free group ( as simplicial complexes on which these groups act ). The theory has applications in the study of phylogenetic trees in evolutionary theory, and connections to the theory of infinite Lie algebras ( discovered by Maxim Lvovitch Konze Malevich, but also studied by Vogt man).

In 2007 she was Noether Lecturer. In 2006 she was invited speaker at the International Congress of Mathematicians (ICM ) in Madrid (The cohomology groups of automorphisms of free groups). 2003 to 2006 she was Vice President of the American Mathematical Society, whose fellow she is.

Writings

  • With Marc Culler: Moduli of graphs and automorphisms of free groups, Inventiones Mathematicae, Vol 84, 1986, p.91 ( Outer Space )
  • Automorphisms of free groups and Outer Space, Geometria Dedicata, Bd.94, 2002, p.1 -31
  • Vogtmann What is Outer Space? , Notices AMS, August 2008, pdf file
Group cohomology Integrated Authority File
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