# William Thurston

#551

Most Influential Person Now

American mathematician

## William Thurston's AcademicInfluence.com Rankings

William Thurstonmathematics Degrees

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

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Mathematics

## William Thurston's Degrees

- PhD Mathematics University of California, Berkeley

## Why Is William Thurston Influential?

(Suggest an Edit or Addition)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.

## William Thurston's Published Works

### 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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## What Schools Are Affiliated With William Thurston?

William Thurston is affiliated with the following schools: