Karen Vogtmann

Karen Vogtmann FRS

Born	(1949-07-13) July 13, 1949 Pittsburg, California
Nationality	American
Alma mater	Ph.D., 1977 University of California, Berkeley
Known for	Culler–Vogtmann Outer space
Awards	2006, International Congress of Mathematicians invited lecture 2007, Noether Lecture 2014, Royal Society Wolfson Research Merit Award 2014, Humboldt Prize 2016, European Congress of Mathematics plenary talk
Scientific career
Fields	geometric group theory algebraic K-theory
Institutions	Cornell University University of Warwick
Thesis	Homology stability for 0n,n (1977)
Doctoral advisor	John Bason Wagoner
Doctoral students	Debra Boutin Martin Bridson

Karen Vogtmann FRS (born July 13, 1949 in Pittsburg, California) 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, 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.