Karen Vogtmann

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

Vogtmann 1982

Vogtmann 2006

Vogtmann studied at the University of California, Berkeley , where she received her bachelor's degree in mathematics in 1971 and her PhD with John Wagoner in 1977 ( homology stability of ${\ displaystyle O_ {n, n}}$ ). She then went to the University of Michigan , Brandeis University and Columbia University . She has been at Cornell University since 1984 , where she has been a full professor since 1994.

Vogtmann dealt with geometric group theory , group cohomology and low-dimensional topology . Together with Marc Culler, she introduced the term outer space in 1986 in the geometric theory of the group of external automorphisms of a free group (as simplicial complexes on which these groups act). The theory has applications in the study of phylogenetic trees in the theory of evolution and connections to the theory of infinite-dimensional Lie algebras (discovered by Maxim Lwowitsch Konzewitsch , but also examined by Vogtmann).

In 2007 she was a Noether Lecturer . In 2006 she was invited speaker at the International Congress of Mathematicians (ICM) in Madrid (The cohomology of automorphisms groups of free groups). From 2003 to 2006 she was Vice President of the American Mathematical Society , of which she is a fellow. In 2014 she received a Wolfson Research Merit Award from the Royal Society and received the Humboldt Research Award . In 2016 she gave a plenary lecture at the European Congress of Mathematicians in Berlin (The topology and geometry of automorphism groups of free groups). In 2018 Vogtmann was awarded the Pólya Prize of the London Mathematical Society .

Fonts

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, Vol. 94, 2002, pp. 1-31
Vogtmann What is Outer Space? , Notices AMS, August 2008, PDF file

↑ Constructed in analogy to the effect of the mapping class group on the Teichmüller area Riemann surfaces
^ Vogtmann, Louis Billera, Susan Holmes, Geometry of the space of phylogenetic trees, Advances in applied mathematics Vol. 27, 2001, pp. 733-767
^ Royal Society announces new round of esteemed Wolfson Research Merit Awards at the Royal Society (royalsociety.org); accessed on May 9, 2014

personal data
SURNAME	Vogtmann, Karen
ALTERNATIVE NAMES	Vogtmann, Karen L .; Vogtmann, Karen Lee
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	July 13, 1949
PLACE OF BIRTH	Pittsburg , California