What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (66.40%)
- Mathematical analysis (34.40%)
- Affine transformation (25.60%)
What were the highlights of his more recent work (between 2010-2021)?
- Pure mathematics (66.40%)
- Mathematical analysis (34.40%)
- Affine transformation (25.60%)
In recent papers he was focusing on the following fields of study:
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.
Between 2010 and 2021, his most popular works were:
- Some open questions on anti-de Sitter geometry (32 citations)
- Topological tameness of Margulis Spacetimes (17 citations)
- Locally Homogeneous Geometric Manifolds (16 citations)
In his most recent research, the most cited papers focused on:
- 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.
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