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 VogtmannFRS (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. 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.
KarenVogtmann FRS (born July 13, 1949 in Pittsburg, California) is an American mathematician working primarily in the area of geometric group theory....
KarenVogtmann called "Moduli of graphs and automorphisms of free groups". This paper introduced an object that came to be known as Culler–Vogtmann Outer...
Mathematics (2), vol. 142 (1995), no. 2, pp. 303–384. Allen Hatcher and KarenVogtmann, Isoperimetric inequalities for automorphism groups of free groups....
Sutton Christopher G. Tate Philip Torr, Professor Thirumalai Venkatesan KarenVogtmann Bruce Weir Simon Wessely Stanley Whittingham Charlotte Williams John...
followed by a PhD in 1991 from Cornell. His PhD thesis was supervised by KarenVogtmann, and was entitled Geodesics and Curvature in Metric Simplicial Complexes...
Vatsal Luis Vega Juan J. L. Velázquez Michèle Vergne Cédric Villani KarenVogtmann Wendelin Werner Paul Wiegmann Avi Wigderson Burkhard Wilking [de] Jaroslaw...
(1934) KarenVogtmann (Professor, 1994-) — mathematician, American Mathematical Society Fellow, Noether Lecturer (2007), known for Culler–Vogtmann Outer...
the University of Pennsylvania KarenVogtmann (born 1949), American geometric group theorist, namesake of Culler–Vogtmann outer space Margit Voigt, German...
Daubechies Mathematical Results and Challenges in Learning Theory 2007 KarenVogtmann Automorphisms of Groups, Outer Space, and Beyond 2008 Audrey A. Terras...
complex was originally introduced in a 1998 paper of Allen Hatcher and KarenVogtmann. Like the curve complex, the free factor complex is known to be Gromov-hyperbolic...
Foreign Members". The Royal Society. 6 May 2021. Retrieved 21 May 2021. "KarenVogtmann". The Royal Society. Retrieved 21 May 2021. "Charlotte Williams". The...
of free groups, Pacific Journal of Mathematics 256 (2012), 291–307. KarenVogtmann, On the geometry of outer space. Bulletin of the American Mathematical...
written in Russian, and later translated into English by A. Weinstein and K. Vogtmann. It is aimed at graduate students. Part I: Newtonian Mechanics Chapter...
and studying the space of phylogenetic trees (with Susan Holmes and KarenVogtmann). In 1994 Billera won the Fulkerson Prize for his paper, Homology of...
Automorphisms and Outer Automorphisms of Free Groups, was supervised by KarenVogtmann. After a one-year visiting position at Trinity College (Connecticut)...
of Mathematics. 121: 215–249. doi:10.2307/1971172. Hatcher, Allen; Vogtmann, Karen (1998). "Cerf theory for graphs". J. London Math. Soc. Series 2. 58...
p. 75. Hungerford (1974), Exercise 4, p. 198. Bridson, Martin R.; Vogtmann, Karen (2006), "Automorphism groups of free groups, surface groups and free...
Differential Geometry. 68 (3): 535–544. doi:10.4310/jdg/1115669594. Vogtmann, Karen (2015). "On the geometry of Outer space". Bulletin of the American...
Springer-Verlag, ISBN 978-0-387-90314-9; translated from the Russian by K. Vogtmann and A. Weinstein. Berger, Marcel (2004), A Panoramic View of Riemannian...
Annalen (in German), 91: 169–209, doi:10.1007/BF01556078, JFM 50.0078.04 Vogtmann, Karen (2002), "Automorphisms of free groups and outer space" (PDF), Proceedings...