Cameron Gordon | Academic Influence

Cameron Gordon 's AcademicInfluence.com Rankings

Cameron Gordon

Mathematics

#1655

World Rank

#2665

Historical Rank

Measure Theory

#2933

World Rank

#3482

Historical Rank

mathematics Degrees

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Mathematics

Cameron Gordon 's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Cameron Gordon Influential?

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According to Wikipedia, Cameron Gordon is a Professor and Sid W. Richardson Foundation Regents Chair in the Department of Mathematics at the University of Texas at Austin, known for his work in knot theory. Among his notable results is his work with Marc Culler, John Luecke, and Peter Shalen on the cyclic surgery theorem. This was an important ingredient in his work with Luecke showing that knotss were determined by their complement. Gordon was also involved in the resolution of the Smith conjecture.

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Cameron Gordon '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

Knots are determined by their complements (1989) (586)
Reducing heegaard splittings (1987) (383)
Dehn surgery on knots (1985) (312)
Knots and links in spatial graphs (1983) (264)
On the signature of a link (1978) (238)
Some aspects of classical knot theory (1978) (184)
On L-spaces and left-orderable fundamental groups (2011) (170)
Reducible manifolds and Dehn surgery (1996) (124)
Dehn surgery and satellite knots (1983) (119)
Incompressible planar surfaces in 3-manifolds (1984) (116)
Boundary slopes of punctured tori in 3-manifolds (1998) (111)
Only integral Dehn surgeries can yield reducible manifolds (1987) (102)
Ribbon concordance of knots in the 3-sphere (1981) (95)
Dehn surgeries on knots creating essential tori, II (2000) (76)
Knots, homology spheres, and contractible 4-manifolds (1975) (70)
On primitive sets of loops in the boundary of a handlebody (1987) (68)
Signatures of Covering Links (1981) (59)
Toroidal and boundary-reducing Dehn fillings (1998) (55)
Knots whose branched cyclic coverings have periodic homology (1972) (55)
Non-integral Toroidal Dehn Surgeries (2004) (54)
Knots in the 4-sphere (1976) (54)
Small surfaces and Dehn filling (1999) (49)
Toroidal and Annular Dehn Fillings (1997) (48)
A loop theorem for duality spaces and fibred ribbon knots (1983) (44)
Dehn filling: A survey (1998) (42)
TANGLE DECOMPOSITIONS OF TUNNEL NUMBER ONE KNOTS AND LINKS (1995) (42)
On the Higher‐Dimensional Smith Conjecture (1974) (37)
Dehn surgery and 3-manifolds (2009) (33)
Cyclic normal subgroups of fundamental groups of 3-manifolds (1975) (32)
Combinatorial methods in Dehn surgery (1997) (30)
Knots with unknotting number 1 and essential Conway spheres (2006) (29)
Taut Foliations, Left-Orderability, and Cyclic Branched Covers (2014) (28)
On surface subgroups of doubles of free groups (2009) (27)
Annular and boundary reducing Dehn fillings (1998) (27)
Surface subgroups of Coxeter and Artin groups (2004) (26)
CHAPTER 15 – 3-Dimensional Topology up to 1960 (1999) (26)
Some higher-dimensional knots with the same homotopy groups (1973) (25)
Artin groups, 3-manifolds and coherence (2004) (25)
Homology of groups of surfaces in the 4-sphere (1981) (24)
Toroidal Dehn fillings on hyperbolic 3-manifolds (2005) (22)
Some embedding theorems and undecidability questions for groups (1994) (22)
Branched covers of quasi‐positive links and L‐spaces (2017) (20)
A note on spun knots (1976) (18)
Chapter VII Incompressible Surfaces in Branched Coverings (1984) (17)
DEHN FILLINGS OF LARGE HYPERBOLIC 3-MANIFOLDS (2001) (16)
Knotted ball pairs whose product with an interval is unknotted (1975) (16)
Toroidal Dehn surgeries on knots in lens spaces (1999) (15)
A short proof of a theorem of Plans on the homology of the branched cyclic coverings of a knot (1971) (13)
Bridge number and integral Dehn surgery (2013) (12)
Riley's Conjecture on SL(2,R) Representations of 2-Bridge Knots (2016) (11)
On a theorem of Murasugi (1979) (11)
On the divisibility of #Hom(Γ,G) by |G| (2012) (10)
Simply-connected branched coverings of $S\sp{3}$ (1972) (9)
ON THE REVERSIBILITY OF TWIST-SPUN KNOTS (2003) (9)
On definite strongly quasipositive links and L-space branched covers (2018) (9)
Knot contact homology detects cabled, composite, and torus knots (2015) (9)
Dehn fillings of knot manifolds containing essential once-punctured tori (2011) (8)
Bridge number, Heegaard genus and non-integral Dehn surgery (2012) (8)
Correction to: “Dehn surgery on knots” (1988) (7)
Twist-spun torus knots (1972) (6)
Corrigendum to “Taut Foliations, Left-Orderability, and Cyclic Branched Covers” (2017) (5)
Reducible and finite Dehn fillings (2007) (4)
Unsolvable problems about higher-dimensional knots and related groups (2009) (4)
Uncountably many stably trivial strings in codimension two (1977) (4)
Links with unlinking number one are prime (1994) (4)
Non-integral toroidal surgery on hyperbolic knots in S^3 (1997) (4)
Characteristic submanifold theory and toroidal Dehn filling (2011) (4)
Knots in Hellas '98 : proceedings of the International Conference on Knot theory and its ramifications, European cultural centre of Delphi Greece, 7-15 August 1998 (2000) (3)
Characters in Low-Dimensional Topology (2020) (3)
Obtaining genus 2 Heegaard splittings from Dehn surgery (2012) (3)
Slope detection and toroidal 3-manifolds (2021) (2)
Embedding piecewise linear manifolds with boundary (1972) (2)
On the divisibility of $#\Hom(\Gamma,G)$ by $|G| (2011) (2)
Heegaard splittings of 3--manifolds (Haifa 2005): Problems (2009) (1)
G T ] 1 6 M ay 1 99 7 TOROIDAL AND ANNULAR DEHN FILLINGS (1999) (1)
EXCEPTIONAL DEHN FILLING (2011) (1)
Fibred knots and disks with clasps (1986) (1)
On the homeomorphism problem for 4-manifolds (2021) (0)
Small surfaces and Dehn lling (1999) (0)
Geometric Topology: Joint U.S.-Israel Workshop on Geometric Topology, June 10-16, 1992, Technion, Haifa, Israel (1994) (0)
h-cobordisms of pairs (1970) (0)
On spines of 3-manifolds with boundary (1993) (0)
ADE links and cyclic branched covers (2019) (0)
Workshop on Heegaard splittings : Technion, 2005 (2007) (0)
Higher-dimensional knot groups and decision problems (2019) (0)

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