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- William P. Thurston

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
50
Citations
21,237
68
World Ranking
766
National Ranking
383

2012 - Steele Prize for Seminal Contribution to Research

1983 - Member of the National Academy of Sciences

1982 - Fields Medal of International Mathematical Union (IMU) Revolutionized study of topology in 2 and 3 dimensions, showing interplay between analysis, topology, and geometry. Contributed idea that a very large class of closed 3-manifolds carry a hyperbolic structure.

1974 - Fellow of Alfred P. Sloan Foundation

- Topology
- Geometry
- Mathematical analysis

His primary scientific interests are in Topology, Mathematical analysis, Non-Euclidean geometry, Topology and Hyperbolic geometry. His work on Computational topology and Geometric topology is typically connected to Dual topology, Strong topology and Digital topology as part of general Topology study, connecting several disciplines of science. His studies deal with areas such as Geometry and Mapping torus as well as Mathematical analysis.

Many of his Non-Euclidean geometry research pursuits overlap with Discrete mathematics, Motion, Hyperbolic tree, Rotation and Tree. His work is dedicated to discovering how Topology, Manifold are connected with Geometry and topology and other disciplines. His Hyperbolic geometry research is multidisciplinary, relying on both Kleinian group and Language of mathematics, Mathematical proof, Algebra.

- The geometry and topology of 3-manifolds (1417 citations)
- Three-Dimensional Geometry and Topology (1395 citations)
- Three dimensional manifolds, Kleinian groups and hyperbolic geometry (1331 citations)

His primary areas of study are Combinatorics, Pure mathematics, Mathematical analysis, Topology and Discrete mathematics. William P. Thurston has included themes like Computational complexity theory and Sequence in his Combinatorics study. His Conjecture, Codimension and Fundamental group study in the realm of Pure mathematics connects with subjects such as Action.

His work focuses on many connections between Mathematical analysis and other disciplines, such as Hyperbolic 3-manifold, that overlap with his field of interest in Hyperbolic triangle. His work in the fields of Topology, such as Topology, overlaps with other areas such as Non-Euclidean geometry. William P. Thurston interconnects Tree, Hyperbolic tree and Rotation in the investigation of issues within Motion.

- Combinatorics (53.61%)
- Pure mathematics (39.18%)
- Mathematical analysis (27.84%)

- Combinatorics (53.61%)
- Knot (11.34%)
- Isoperimetric inequality (19.59%)

William P. Thurston mainly focuses on Combinatorics, Knot, Isoperimetric inequality, Bounded function and Tubular neighborhood. His Combinatorics research includes themes of Geometric topology and Surface. His Knot study also includes fields such as

- Computational complexity theory that connect with fields like Normal surface,
- 3-manifold that connect with fields like Conjecture,
- Orbifold and related Fibered knot, Torus, Hyperbolic 3-manifold and Dehn function.

His Conjecture study incorporates themes from Peano curve, Hyperbolic set, Mathematical analysis and Equivariant map. The concepts of his Bounded function study are interwoven with issues in Geometric topology, Radius, Differential geometry, Constant and Upper and lower bounds. In general Pure mathematics study, his work on Abelian group often relates to the realm of Peano existence theorem, thereby connecting several areas of interest.

- Finite covers of random 3-manifolds (130 citations)
- Group invariant Peano curves (130 citations)
- The Computational Complexity of Knot Genus and Spanning Area (95 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The geometry and topology of 3-manifolds

William P. Thurston.

**(1979)**

2305 Citations

Three-Dimensional Geometry and Topology

William P. Thurston;Silvio Levy.

**(1997)**

2258 Citations

Three dimensional manifolds, Kleinian groups and hyperbolic geometry

William P. Thurston.

Bulletin of the American Mathematical Society **(1982)**

2180 Citations

Word processing in groups

David B. A. Epstein;M. S. Paterson;J. W. Cannon;D. F. Holt.

**(1992)**

1669 Citations

On the geometry and dynamics of diffeomorphisms of surfaces

William P. Thurston.

Bulletin of the American Mathematical Society **(1988)**

1508 Citations

On iterated maps of the interval

John Milnor;William Thurston.

**(1988)**

1088 Citations

The geometry and topology of three-manifolds

William P. Thurston.

**(1979)**

1050 Citations

A norm for the homology of 3-manifolds

W. P. Thurston.

Memoirs of the American Mathematical Society **(1986)**

797 Citations

On Proof and Progress in Mathematics.

William P. Thurston.

for the learning of mathematics **(1995)**

728 Citations

Some simple examples of symplectic manifolds

W. P. Thurston.

Proceedings of the American Mathematical Society **(1976)**

649 Citations

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