Karen Vogtmann

Q: What Schools Are Affiliated With Karen Vogtmann

Karen Vogtmann is affiliated with the following schools: University of Warwick, University of California, Berkeley, University of Michigan, Cornell University, Brandeis University

Karen Vogtmann's AcademicInfluence.com Rankings

Karen Vogtmann

Mathematics

#1031

World Rank

#1766

Historical Rank

#450

USA Rank

Algebraic Topology

#26

World Rank

#33

Historical Rank

#14

USA Rank

Measure Theory

#2186

World Rank

#2631

Historical Rank

#624

USA Rank

mathematics Degrees

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Mathematics

Why Is Karen Vogtmann Influential?

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According to Wikipedia, Karen Vogtmann 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. Vogtmann is a professor of mathematics at Cornell University and the University of Warwick.

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Karen Vogtmann's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Geometry of the Space of Phylogenetic Trees (2001) (604)
Moduli of graphs and automorphisms of free groups (1986) (574)
Automorphisms of Free Groups and Outer Space (2002) (178)
On a theorem of Kontsevich (2002) (134)
Rational homology of Bianchi groups (1985) (85)
Cerf Theory for Graphs (1998) (84)
Erratum to: Homology stability for outer automorphism groups of free groups (2004) (81)
The Complex of Free Factors of a Free Group (1998) (77)
RATIONAL HOMOLOGY OF AUT ( F n ) (1998) (74)
Finiteness properties of automorphism groups of right‐angled Artin groups (2009) (69)
Automorphisms of 2–dimensional right-angled Artin groups (2006) (64)
A group theoretic criterion for property FA (1996) (56)
The integral homology ofSL2 andPSL2 of euclidean imaginary quadratic integers (1983) (54)
Local structure of some Out(Fn)-complexes (1990) (51)
Equivariant outer space and automorphisms of free-by-finite groups (1993) (45)
Automorphism groups of free groups, surface groups and free abelian groups (2005) (44)
Automorphisms of Automorphism Groups of Free Groups (2000) (42)
Rational homology of $\text{\rm Aut}$($F_n$) (1998) (41)
Hairy graphs and the unstable homology of Mod(g, s), Out(Fn) and Aut(Fn) (2011) (40)
A generating function for the Euler characteristic of out(Fn) (1987) (40)
Spherical posets and homology stability for 0n,n (1981) (39)
Actions of automorphism groups of free groups on homology spheres and acyclic manifolds (2008) (38)
The symmetries of outer space (2001) (37)
Morita classes in the homology of automorphism groups of free groups (2004) (36)
Isoperimetric inequalities for automorphism groups of free groups. (1996) (36)
The cohomology of automorphism groups of free groups (2006) (35)
SUBGROUPS AND QUOTIENTS OF AUTOMORPHISM GROUPS OF RAAGS (2009) (34)
Assembling homology classes in automorphism groups of free groups (2015) (33)
On the geometry of Outer space (2014) (31)
Homomorphisms from Automorphism Groups of Free Groups (2002) (30)
On the Geometry of the Automorphism Group of a Free Group (1995) (29)
Tethers and homology stability for surfaces (2015) (28)
The Boundary of Outer Space in Rank Two (1991) (28)
The integral homology of SL 2 and PSL 2 of euclidean imaginary quadr (1983) (26)
Cut vertices in commutative graphs (2003) (24)
Automorphisms of two-dimensional RAAGs and partially symmetric automorphisms of free groups (2008) (24)
Outer space for untwisted automorphisms of right-angled Artin groups (2012) (20)
Homology stability for 0n,n (1979) (20)
Length functions and outer space. (1992) (19)
A Stiefel complex for the orthogonal group of a field (1982) (17)
Abelian covers of graphs and maps between outer automorphism groups of free groups (2010) (16)
Higher hairy graph homology (2013) (15)
Automorphisms of graphs, p-subgroups of out(Fn) and the Euler characteristics of Out(Fn) (1987) (15)
A presentation for Aut(Fn ) (2008) (15)
Morita classes in the homology of Aut(Fn) vanish after one stabilization (2006) (15)
AN EQUIVARIANT WHITEHEAD ALGORITHM AND CONJUGACY FOR ROOTS OF DEHN TWIST AUTOMORPHISMS (2001) (14)
Subgroups and quotient groups of automorphism groups of RAAGs (2009) (14)
The Dehn functions of Out(F_n) and Aut(F_n) (2010) (13)
On the bordification of Outer space (2017) (12)
A Whitehead algorithm for surface groups (2000) (11)
GEODESICS IN THE SPACE OF TREES (2008) (11)
The Euler characteristic of Out($F_n$) (2019) (11)
Infinitesimal operations on complexes of graphs (2001) (10)
GL(n, Z), Out(Fn) and everything in between: automorphism groups of RAAGs (2015) (10)
End invariants of the group of outer automorphisms of a free group (1995) (10)
Erratum to: "Geometry of the Space of Phylogenetic Trees": [Adv. in Appl. Math. 27 (2001) 733-767] (2002) (9)
The topology and geometry of automorphism groups of free groups (2016) (8)
A presentation for Aut(F_n) (2007) (8)
Outer Space (1975) (8)
Outer space for right-angled Artin groups I (2012) (8)
Outer space for RAAGs (2020) (7)
Contractbility of Outer space: reprise (2015) (5)
Infinitesimal Operations on Graphs and Graph Homology (2001) (4)
AUTOMORPHISMS OF SL2 OF IMAGINARY QUADRATIC INTEGERS (2010) (4)
Computing Euler characteristics using quantum field theory (2022) (3)
Automorphisms of higher-dimensional right-angled Artin groups (2007) (3)
Geometric Group Theory (2014) (2)
Cube complexes and abelian subgroups of automorphism groups of RAAGs (2019) (2)
Abelian covers of graphs and maps between outer automorphism groups of free groups (2011) (2)
Automorphisms of ₂ of imaginary quadratic integers (1991) (2)
The Euler characteristic of $\operatorname{Out}(F_n)$ (2019) (1)
Homology Stability for Outer Automorphisms of Free Groups (2004) (1)
Topological and Geometric Methods in Group Theory (2006) (1)
AN EQUIVARIANT WHITEHEAD ALGORITHM AND CONJUGACY FOR ROOTS OF DEHN TWISTS (1997) (1)
Actions of arithmetic groups on homology spheres and acyclic homology manifolds (2013) (0)
The Euler characteristic of the moduli space of graphs (2023) (0)
Geometry and Topology, ICM sectional workshop (2022) (0)
Non-positive Curvature and Geometric Structures in Group Theory (2010) (0)
Unstable homology of Aut(Fn) and Out(Fn) (2012) (0)
LMS PRIZEWINNERS 2018 (2020) (0)
LMS PRIZEWINNERS 2018 (2020) (0)
SUBGROUPS OF DIRECT PRODUCTS OF TWO RIGHT-ANGLED ARTIN GROUPS (2019) (0)
Unstable homology of Out(F_n) (2012) (0)
ec 2 00 4 Cut vertices in commutative graphs (2004) (0)
A ] 1 9 N ov 2 00 1 Infinitesimal Operations on Graphs and Graph Homology (2008) (0)
Geometric Structures in Group Theory (2021) (0)
Higher hairy graph homology (2014) (0)
[Choice of delivery method in breech presentations, especially in premature labor]. (1981) (0)

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Karen Vogtmann's Published Works

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