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- William M. Goldman

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
34
Citations
7,893
109
World Ranking
1976
National Ranking
844

2013 - Fellow of the American Mathematical Society

1987 - Fellow of Alfred P. Sloan Foundation

- Geometry
- Topology
- Manifold

The scientist’s investigation covers issues in Pure mathematics, Mathematical analysis, Fundamental group, Lie group and Algebra. His study brings together the fields of Relatively hyperbolic group and Pure mathematics. William M. Goldman combines subjects such as Affine geometry, Affine space and Affine transformation with his study of Mathematical analysis.

His Fundamental group research incorporates themes from Section, Hodge structure, Automorphism and Differential graded Lie algebra. William M. Goldman focuses mostly in the field of Lie group, narrowing it down to topics relating to Surface and, in certain cases, Adjoint representation, Representation of a Lie group, Simple Lie group and Group representation. His Algebra study combines topics in areas such as Fuchsian group and Topology.

- The Symplectic Nature of Fundamental Groups of Surfaces (682 citations)
- Invariant functions on Lie groups and Hamiltonian flows of surface group representations (483 citations)
- The deformation theory of representations of fundamental groups of compact Kähler manifolds (395 citations)

William M. Goldman focuses on Pure mathematics, Mathematical analysis, Affine transformation, Fundamental group and Algebra. In his works, William M. Goldman undertakes multidisciplinary study on Pure mathematics and Affine representation. His work in Mathematical analysis covers topics such as Mapping class group which are related to areas like Character variety, Variety, Genus and Character.

His Affine transformation study integrates concerns from other disciplines, such as Discrete group, Surface and Infinitesimal. His studies in Fundamental group integrate themes in fields like Fuchsian group, Polyhedron, Bounded function and Real projective plane. In the subject of general Algebra, his work in Representation of a Lie group, Adjoint representation, Simple Lie group and Group representation is often linked to Covering group, thereby combining diverse domains of study.

- Pure mathematics (66.40%)
- Mathematical analysis (34.40%)
- Affine transformation (25.60%)

- Pure mathematics (66.40%)
- Mathematical analysis (34.40%)
- Affine transformation (25.60%)

His main research concerns Pure mathematics, Mathematical analysis, Affine transformation, Surface and Minkowski space. His Pure mathematics research incorporates themes from Geodesic and Regular polygon. His Mathematical analysis research is multidisciplinary, incorporating elements of Curvature and Connection.

His biological study deals with issues like Surface, which deal with fields such as Fundamental group, Identity, Infinitesimal, Simple and Boundary. He combines subjects such as Genus and Combinatorics with his study of Surface. His Minkowski space research includes themes of Anti-de Sitter space, Conformal map and Quotient.

- Some open questions on anti-de Sitter geometry (32 citations)
- Topological tameness of Margulis Spacetimes (17 citations)
- Locally Homogeneous Geometric Manifolds (16 citations)

- Geometry
- Topology
- Manifold

William M. Goldman mainly focuses on Pure mathematics, Minkowski space, Spacetime, Group and Quotient. His Pure mathematics study often links to related topics such as Mathematical analysis. His work on Solving the geodesic equations, Geodesic map and Equivalence as part of general Mathematical analysis study is frequently linked to Orbit, therefore connecting diverse disciplines of science.

His Minkowski space study combines topics from a wide range of disciplines, such as Conformal map and Geodesic. His study in Group is interdisciplinary in nature, drawing from both Symmetry, Lie group, Topological space and Homogeneous space. His Quotient research incorporates elements of Free group, Holonomy, Rank and Topology.

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 Symplectic Nature of Fundamental Groups of Surfaces

William M Goldman.

Advances in Mathematics **(1984)**

1134 Citations

Invariant functions on Lie groups and Hamiltonian flows of surface group representations

William M. Goldman.

Inventiones Mathematicae **(1986)**

767 Citations

The deformation theory of representations of fundamental groups of compact Kähler manifolds

William M. Goldman;John J. Millson.

Publications Mathématiques de l'IHÉS **(1988)**

613 Citations

Topological components of spaces of representations.

William M. Goldman.

Inventiones Mathematicae **(1988)**

601 Citations

Complex Hyperbolic Geometry

William Mark Goldman.

**(1999)**

594 Citations

Convex real projective structures on compact surfaces

William M. Goldman.

Journal of Differential Geometry **(1990)**

339 Citations

Three-dimensional affine crystallographic groups☆

David Fried;William M Goldman.

Advances in Mathematics **(1983)**

250 Citations

Projective structures with Fuchsian holonomy

William M. Goldman.

Journal of Differential Geometry **(1987)**

232 Citations

Convex real projective structures on closed surfaces are closed

Suhyoung Choi;William M. Goldman.

Proceedings of the American Mathematical Society **(1993)**

209 Citations

Ergodic theory on moduli spaces

William M. Goldman.

Annals of Mathematics **(1997)**

206 Citations

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