What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Combinatorics (53.61%)
- Pure mathematics (39.18%)
- Mathematical analysis (27.84%)
What were the highlights of his more recent work (between 2000-2018)?
- Combinatorics (53.61%)
- Knot (11.34%)
- Isoperimetric inequality (19.59%)
In recent papers he was focusing on the following fields of study:
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.
Between 2000 and 2018, his most popular works were:
- 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)
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