What is he best known for?
The fields of study he is best known for:
- Pure mathematics
- Mathematical analysis
- Algebra
The scientist’s investigation covers issues in Pure mathematics, Mathematical analysis, Scalar curvature, Algebra and Simple Lie group.
The Pure mathematics study combines topics in areas such as Discrete mathematics and Topology.
The various areas that Joseph A. Wolf examines in his Mathematical analysis study include Structure, Lie group and Triple system.
Joseph A. Wolf works on Scalar curvature which deals in particular with Curvature of Riemannian manifolds.
His work carried out in the field of Curvature of Riemannian manifolds brings together such families of science as Geometry and topology, Riemannian geometry, Building, Ricci-flat manifold and Constant curvature.
In general Algebra, his work in Representation theory and Noncommutative geometry is often linked to Wedge sum linking many areas of study.
His most cited work include:
- Spaces of Constant Curvature (1771 citations)
- Growth of finitely generated solvable groups and curvature of Riemannian manifolds (293 citations)
- The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components (251 citations)
What are the main themes of his work throughout his whole career to date?
Joseph A. Wolf spends much of his time researching Pure mathematics, Mathematical analysis, Lie group, Algebra and Combinatorics.
Pure mathematics is often connected to Group in his work.
The study incorporates disciplines such as Mean curvature, Curvature and Ricci-flat manifold in addition to Mathematical analysis.
His biological study spans a wide range of topics, including Curvature of Riemannian manifolds and Riemannian geometry.
His Lie group study incorporates themes from Plancherel theorem, Simple, Dolbeault cohomology, Series and Lie algebra.
His Combinatorics study combines topics in areas such as Generalized flag variety, Flag, Flag, Homogeneous space and Cohomology.
He most often published in these fields:
- Pure mathematics (60.58%)
- Mathematical analysis (31.25%)
- Lie group (25.00%)
What were the highlights of his more recent work (between 2014-2021)?
- Pure mathematics (60.58%)
- Lie group (25.00%)
- Combinatorics (18.75%)
In recent papers he was focusing on the following fields of study:
His main research concerns Pure mathematics, Lie group, Combinatorics, Homogeneous space and Group.
In most of his Pure mathematics studies, his work intersects topics such as Geodesic.
His Lie group study combines topics from a wide range of disciplines, such as Series, Lorentz transformation and Automorphism.
Joseph A. Wolf has researched Combinatorics in several fields, including Mathematical analysis, Generalized flag variety and Simple Lie group.
Joseph A. Wolf studies Mathematical analysis, namely Killing vector field.
Joseph A. Wolf interconnects Curvature and Sectional curvature in the investigation of issues within Homogeneous space.
Between 2014 and 2021, his most popular works were:
- Sp(2)/U(1) and a positive curvature problem (10 citations)
- Killing Vector Fields of Constant Length on Riemannian Normal Homogeneous Spaces (9 citations)
- Toward a classification of killing vector fields of constant length on pseudo-Riemannian normal homogeneous spaces (8 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Pure mathematics
- Algebra
Joseph A. Wolf mainly investigates Pure mathematics, Homogeneous space, Combinatorics, Lie group and Quotient.
Joseph A. Wolf has included themes like Center and Normal subgroup in his Pure mathematics study.
His Homogeneous space study integrates concerns from other disciplines, such as Tangent space, Mathematical analysis, Isometry and Sectional curvature.
The concepts of his Mathematical analysis study are interwoven with issues in Generalized flag variety and Simple Lie group.
Joseph A. Wolf works mostly in the field of Lie group, limiting it down to concerns involving Differential geometry and, occasionally, Riemannian manifold, Algebra, Bounded function and Simply connected space.
His Quotient research incorporates elements of Weyl group, Backslash, Ricci-flat manifold and Riemannian geometry.
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