William Thurston | Academic Influence

William Thurston's AcademicInfluence.com Rankings

William Thurston

Mathematics

#27

World Rank

#85

Historical Rank

#6

USA Rank

Topology

#2

World Rank

#3

Historical Rank

#1

USA Rank

Geometry

#2

World Rank

#7

Historical Rank

#1

USA Rank

Measure Theory

#213

World Rank

#332

Historical Rank

#93

USA Rank

mathematics Degrees

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Mathematics

William Thurston's Degrees

PhD Mathematics University of California, Berkeley

Why Is William Thurston Influential?

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According to Wikipedia, William Paul Thurston was an American mathematician. He was a pioneer in the field of low-dimensional topology and was awarded the Fields Medal in 1982 for his contributions to the study of 3-manifolds.

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William Thurston'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

The geometry and topology of 3-manifolds (1979) (2133)
Three-dimensional geometry and topology (1997) (1803)
The geometry and topology of three-manifolds (1979) (1593)
Three dimensional manifolds, Kleinian groups and hyperbolic geometry (1982) (1538)
On the geometry and dynamics of diffeomorphisms of surfaces (1988) (1229)
On iterated maps of the interval (1988) (754)
On Proof and Progress in Mathematics (1994) (664)
A norm for the homology of 3-manifolds (1986) (575)
Some simple examples of symplectic manifolds (1976) (459)
Rotation distance, triangulations, and hyperbolic geometry (1986) (423)
A presentation for the mapping class group of a closed orientable surface (1980) (354)
Hyperbolic Structures on 3-manifolds, I: Deformation of acylindrical manifolds (1986) (330)
Incompressible surfaces in 2-bridge knot complements (1985) (319)
Conway's tiling groups (1990) (308)
Minimal stretch maps between hyperbolic surfaces (1998) (302)
Surface groups and 3-manifolds which fiber over the circle (1998) (296)
Shapes of polyhedra and triangulations of the sphere (1998) (292)
On the existence of contact forms (1975) (258)
Foliations and groups of diffeomorphisms (1974) (232)
Pinching constants for hyperbolic manifolds (1987) (211)
A generalization of the Reeb stability theorem (1974) (182)
Existence of codimension-one foliations (1976) (172)
Group invariant Peano curves (2007) (150)
The theory of foliations of codimension greater than one (1974) (140)
Soliton-like behavior in automata (1986) (140)
Finite covers of random 3-manifolds (2005) (135)
Every connected space has the homology of a K(π,1) (1976) (133)
Extending holomorphic motions (1986) (124)
Lower bounds on volumes of hyperbolic Haken 3-manifolds (1999) (119)
The Computational Complexity of Knot Genus and Spanning Area (2002) (112)
New proofs of some results of Nielsen (1985) (100)
Non-continuity of the action of the modular group at Bers' boundary of Teichmuller space (1990) (98)
On the Geometry and Dynamics of Iterated Rational Maps (2009) (88)
Separators in two and three dimensions (1990) (87)
Noncobordant foliations of $S^3 $ (1972) (85)
The virtual Haken conjecture: Experiments and examples (2002) (84)
Hyperbolic Structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary (1998) (84)
Contour tracing by piecewise linear approximations (1990) (83)
Foliated Bundles, Invariant Measures and Flat Manifolds (1975) (77)
Polynomial growth in holonomy groups of foliations (1976) (76)
Shorter Notes: Some Simple Examples of Symplectic Manifolds (1976) (72)
Three-manifolds, Foliations and Circles, I (1997) (71)
Mathematical Education (2005) (68)
Anosov flows on new three manifolds (1980) (68)
Zippers and univalent functions (1986) (61)
Transformation Groups and Natural Bundles (1979) (60)
RECOGNIZING CONSTANT CURVATURE DISCRETE GROUPS IN DIMENSION 3 (1997) (58)
Anosov flows and the fundamental group (1972) (57)
Hyperbolic 4-manifolds and conformally flat 3-manifolds (1988) (53)
Entropy in Dimension One (2014) (52)
Short Encodings of Evolving Structures (1992) (49)
Stabilization of Heegaard splittings (2008) (38)
Hyperbolic geometry and 3-manifolds (1982) (30)
Examples of unknotted curves which bound only surfaces of high genus within their convex hulls (1977) (28)
The Absence of Efficient Dual Pairs of Spanning Trees in Planar Graphs (2005) (27)
The Size of Spanning Disks for Polygonal Curves (1999) (24)
How to see 3-manifolds (1998) (23)
Solvgroups are not almost convex (1989) (23)
3-MANIFOLD KNOT GENUS is NP-complete (2002) (21)
Some Remarks on Foliations (1973) (15)
Triangulating 3-manifolds using 5 vertex link types (1988) (11)
Area Inequalities for Embedded Disks Spanning Unknotted Curves (2003) (10)
The size of spanning disks for polygonal knots (1999) (8)
Degree-d-invariant Laminations (2019) (8)
The Eightfold Way: a Mathematical Sculpture by Helaman Ferguson (1999) (6)
Three-manifolds, Foliations and Circles, I Preliminary Version (1997) (5)
Exact volume of hyperbolic 2-bridge links (2014) (4)
Reader’s Advisory (1997) (3)
SAUNDERS MAC LANE DESPITE PHYSICISTS, PROOF IS ESSENTIAL IN MATHEMATICS (1996) (2)
Moduli Spaces of Circle Packings (2018) (1)
1 What Is a Manifold (1997) (1)
4 The Structure of Discrete Groups (1997) (1)
3 Geometric Manifolds (1997) (1)
The symbolic dynamics of tiling the integers (1998) (1)
AREA INEQUALITIES FOR EMBEDDED DISKS SPANNING (2006) (0)
BOOKS, 1996–2002 (2005) (0)
C O ] 5 O ct 1 99 8 THE SYMBOLIC DYNAMICS OF TILING THE INTEGERS (1998) (0)
The size of spanning disks for PL Knots (1998) (0)
HYPERBOLIC STRUCTURE OF KNOT COMPLEMENTS (2017) (0)
THE EIGHT GEOMETRIES OF THE (2011) (0)
SPLITTINGS OF SURFACES (1996) (0)
Deformation of anannular manifolds (1980) (0)
2 Hyperbolic Geometry and Its Friends (1997) (0)
Deforming Kleinian manifolds by homeomorphisms of the sphere at infinity (1998) (0)
Taut vs.\ tight (1997) (0)
Perturbation of confoliations into contact structures (1997) (0)
Foreword (2021) (0)
Geometric nature of integrability (1997) (0)
The Challenge of Testing VLSI in the 1980's (1981) (0)
FOLIATIONS AND GROUPS OF DIFFEOMORPHISMS BY WILLIAM THURSTON Communicated by William Browder, July 7, 1973 (2007) (0)

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