Marc Culler | Academic Influence

Marc Culler's AcademicInfluence.com Rankings

Marc Culler

Mathematics

#2632

World Rank

#4031

Historical Rank

#1028

USA Rank

Topology

#31

World Rank

#48

Historical Rank

#13

USA Rank

Measure Theory

#3900

World Rank

#4595

Historical Rank

#1117

USA Rank

mathematics Degrees

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Mathematics

Marc Culler's Degrees

PhD Mathematics Princeton University

Why Is Marc Culler Influential?

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According to Wikipedia, Marc Edward Culler is an American mathematician who works in geometric group theory and low-dimensional topology. A native Californian, Culler did his undergraduate work at the University of California at Santa Barbara and his graduate work at Berkeley where he graduated in 1978. He is now at the University of Illinois at Chicago. Culler is the son of Glen Jacob Culler who was an important early innovator in the development of the Internet.

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Marc Culler'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

Varieties of group representations and splittings of 3-manifolds (1983) (689)
Moduli of graphs and automorphisms of free groups (1986) (574)
Plane curves associated to character varieties of 3-manifolds (1994) (400)
Dehn surgery on knots (1985) (312)
Group Actions On R‐Trees (1987) (286)
Lifting Representations to Covering Groups (1986) (132)
Using surfaces to solve equations in free groups (1981) (123)
Bounded, separating, incompressible surfaces in knot manifolds (1984) (86)
Paradoxical decompositions, 2-generator Kleinian groups, and volumes of hyperbolic 3-manifolds (1992) (64)
Free Kleinian groups and volumes of hyperbolic {3}-manifolds (1996) (61)
Incompressible Surfaces in Once‐Punctured Torus Bundles (1982) (58)
A group theoretic criterion for property FA (1996) (56)
Volumes of hyperbolic Haken manifolds, I (1994) (33)
Dehn surgery, homology and hyperbolic volume (2005) (30)
Singular surfaces, mod 2 homology, and hyperbolic volume, I (2005) (28)
The Boundary of Outer Space in Rank Two (1991) (28)
Orderability and Dehn filling (2016) (28)
Approximation by Maximal Cusps in Boundaries of Deformation Spaces of Kleinian Groups (2003) (27)
The first betti number of the smallest closed hyperbolic 3-manifold (1998) (20)
Boundary slopes of knots (1999) (19)
4‐free groups and hyperbolic geometry (2008) (16)
Characteristic subsurfaces and Dehn filling (2002) (13)
Margulis numbers for Haken manifolds (2010) (12)
The volume of a hyperbolic 3-manifold with Betti number 2 (1994) (11)
Hyperbolic volume and modp homology (1993) (10)
Knots with only two strict essential surfaces (2004) (8)
Characteristic subsurfaces, character varieties and Dehn fillings (2006) (7)
Correction to: “Dehn surgery on knots” (1988) (7)
THE COLORED JONES POLYNOMIAL AND THE A-POLYNOMIAL FOR TWIST KNOTS (2004) (7)
Volume and homology of one-cusped hyperbolic 3-manifolds (2007) (5)
Incompressible surfaces, hyperbolic volume, Heegaard genus and homology (2008) (5)
Betti numbers and injectivity radii (2009) (4)
Homology equivalent finite groups are isomorphic (1978) (4)
VOLUMES OF HYPERBOLIC HAKEN MANIFOLDS, II (1997) (3)
Genus of elements in a free group (1978) (3)
Shorter Notes: Homology Equivalent Finite Groups are Isomorphic (1978) (1)
NOTES ON TOPOLOGY (2011) (1)
On Random Groups: the Square Model at Density d < 1/3 and as Quotients of Free Nilpotent Groups BY YEN DUONG (2017) (0)
A TALE OF TWO FUNCTORS (2012) (0)
Margulis numbers for Haken manifolds (2011) (0)
NOTES ON ALGEBRA (2005) (0)
NOTES ON DIFFERENTIABLE MANIFOLDS (2008) (0)
ANTIDERIVATIVES FOR COMPLEX FUNCTIONS (2010) (0)
G T ] 2 2 N ov 2 00 6 CHARACTERISTIC SUBSURFACES , CHARACTER VARIETIES AND DEHN FILLINGS (0)
NOTES ON ALGEBRA (FIELDS) (2005) (0)
NOTES ON ALGEBRA A LITTLE BIT OF HOMOLOGICAL ALGEBRA (2005) (0)
KNOTS , LINKS AND REPRESENTATION SHIFTS (2003) (0)
N ov 2 00 2 Characteristic subsurfaces and Dehn filling (2008) (0)
A WEEK OF RIEMANNIAN MANIFOLDS (2008) (0)
ON ALGEBRA GRAPHS , TREES AND FREE GROUPS (2005) (0)
Realizing the theme dream (2019) (0)

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