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Karen Vogtmann information


Karen Vogtmann
FRS
Born (1949-07-13) July 13, 1949 (age 74)
Pittsburg, California
NationalityAmerican
Alma materPh.D., 1977 University of California, Berkeley
Known forCuller–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 advisorJohn Bason Wagoner
Doctoral students
  • Debra Boutin
  • Martin Bridson

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. 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.

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Karen Vogtmann

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Karen Vogtmann FRS (born July 13, 1949 in Pittsburg, California) is an American mathematician working primarily in the area of geometric group theory....

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Geometry

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2019. Retrieved 23 September 2019. Mladen Bestvina; Michah Sageev; Karen Vogtmann (2014). Geometric Group Theory. American Mathematical Soc. p. 132....

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Marc Culler

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Karen Vogtmann called "Moduli of graphs and automorphisms of free groups". This paper introduced an object that came to be known as Culler–Vogtmann Outer...

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Dehn function

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Mathematics (2), vol. 142 (1995), no. 2, pp. 303–384. Allen Hatcher and Karen Vogtmann, Isoperimetric inequalities for automorphism groups of free groups....

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List of fellows of the Royal Society elected in 2021

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Sutton Christopher G. Tate Philip Torr, Professor Thirumalai Venkatesan Karen Vogtmann Bruce Weir Simon Wessely Stanley Whittingham Charlotte Williams John...

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Martin Bridson

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followed by a PhD in 1991 from Cornell. His PhD thesis was supervised by Karen Vogtmann, and was entitled Geodesics and Curvature in Metric Simplicial Complexes...

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List of International Congresses of Mathematicians Plenary and Invited Speakers

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Vatsal Luis Vega Juan J. L. Velázquez Michèle Vergne Cédric Villani Karen Vogtmann Wendelin Werner Paul Wiegmann Avi Wigderson Burkhard Wilking [de] Jaroslaw...

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List of Cornell University faculty

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(1934) Karen Vogtmann (Professor, 1994-) — mathematician, American Mathematical Society Fellow, Noether Lecturer (2007), known for Culler–Vogtmann Outer...

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List of women in mathematics

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the University of Pennsylvania Karen Vogtmann (born 1949), American geometric group theorist, namesake of Culler–Vogtmann outer space Margit Voigt, German...

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Noether Lecture

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Daubechies Mathematical Results and Challenges in Learning Theory 2007 Karen Vogtmann Automorphisms of Groups, Outer Space, and Beyond 2008 Audrey A. Terras...

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Free factor complex

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complex was originally introduced in a 1998 paper of Allen Hatcher and Karen Vogtmann. Like the curve complex, the free factor complex is known to be Gromov-hyperbolic...

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List of female fellows of the Royal Society

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Foreign Members". The Royal Society. 6 May 2021. Retrieved 21 May 2021. "Karen Vogtmann". The Royal Society. Retrieved 21 May 2021. "Charlotte Williams". The...

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Fully irreducible automorphism

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of free groups, Pacific Journal of Mathematics 256 (2012), 291–307. Karen Vogtmann, On the geometry of outer space. Bulletin of the American Mathematical...

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Mathematical Methods of Classical Mechanics

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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...

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Louis Billera

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and studying the space of phylogenetic trees (with Susan Holmes and Karen Vogtmann). In 1994 Billera won the Fulkerson Prize for his paper, Homology of...

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Debra Boutin

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Automorphisms and Outer Automorphisms of Free Groups, was supervised by Karen Vogtmann. After a one-year visiting position at Trinity College (Connecticut)...

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Homological stability

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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...

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Topological space

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77–81. doi:10.2307/2037491. JSTOR 2037491. MR 0244927. Culler, Marc; Vogtmann, Karen (1986). "Moduli of graphs and automorphisms of free groups" (PDF)....

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Free abelian group

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p. 75. Hungerford (1974), Exercise 4, p. 198. Bridson, Martin R.; Vogtmann, Karen (2006), "Automorphism groups of free groups, surface groups and free...

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Asymptotic dimension

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Differential Geometry. 68 (3): 535–544. doi:10.4310/jdg/1115669594. Vogtmann, Karen (2015). "On the geometry of Outer space". Bulletin of the American...

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Differential geometry of surfaces

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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...

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Automorphism group of a free group

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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...

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