What is he best known for?
The fields of study he is best known for:
- Topology
- Geometry
- Pure mathematics
His primary areas of study are Pure mathematics, Mathematical analysis, Invariant, Combinatorics and Gravitational singularity.
His Pure mathematics study frequently draws connections between adjacent fields such as Discrete mathematics.
His Invariant study combines topics from a wide range of disciplines, such as Simplex, Stallings theorem about ends of groups, Schur multiplier and Amenable group.
His Combinatorics research includes elements of Geodesic and Torus.
His Gravitational singularity study incorporates themes from Singularity, Class, Complex plane, Plane curve and Link.
His studies in Singularity integrate themes in fields like Graph manifold, Algebraic number and Complete intersection.
His most cited work include:
- Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (465 citations)
- Volumes of hyperbolic three-manifolds (393 citations)
- A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves (315 citations)
What are the main themes of his work throughout his whole career to date?
Walter D. Neumann spends much of his time researching Pure mathematics, Gravitational singularity, Combinatorics, Mathematical analysis and Singularity.
The Pure mathematics study combines topics in areas such as Discrete mathematics and Link.
His Gravitational singularity research integrates issues from Algebraic number, Conjecture, Surface, Hypersurface and Lipschitz continuity.
He works mostly in the field of Mathematical analysis, limiting it down to topics relating to Fibered knot and, in certain cases, Milnor number, as a part of the same area of interest.
His study in Singularity is interdisciplinary in nature, drawing from both Normal surface, Homology sphere, Homology and Quotient.
His work on Bloch group as part of general Invariant research is often related to Chern–Simons theory, thus linking different fields of science.
He most often published in these fields:
- Pure mathematics (57.49%)
- Gravitational singularity (22.16%)
- Combinatorics (19.16%)
What were the highlights of his more recent work (between 2008-2020)?
- Pure mathematics (57.49%)
- Lipschitz continuity (9.58%)
- Gravitational singularity (22.16%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Pure mathematics, Lipschitz continuity, Gravitational singularity, Singularity and Mathematical analysis.
His Manifold study in the realm of Pure mathematics interacts with subjects such as Isometric exercise.
His research on Lipschitz continuity also deals with topics like
- Metric, which have a strong connection to Ambient space and Complex analytic space,
- Geometry which intersects with area such as Lipschitz domain and Complex plane,
- Type which intersects with area such as Algebraic number and Constant,
- Topology that intertwine with fields like Germ.
Walter D. Neumann has researched Gravitational singularity in several fields, including Algebraic surface, Geometry and topology and Embedding.
His biological study spans a wide range of topics, including Normal surface, Homology sphere and Hypersurface.
Within one scientific family, Walter D. Neumann focuses on topics pertaining to Surface under Mathematical analysis, and may sometimes address concerns connected to Conical surface.
Between 2008 and 2020, his most popular works were:
- The thick-thin decomposition and the bilipschitz classification of normal surface singularities (36 citations)
- Quasi-isometric classification of some high dimensional right-angled Artin groups (28 citations)
- Lipschitz geometry of complex surfaces: analytic invariants and equisingularity (25 citations)
In his most recent research, the most cited papers focused on:
- Geometry
- Topology
- Mathematical analysis
Walter D. Neumann mostly deals with Mathematical analysis, Lipschitz continuity, Geometry, Surface and Pure mathematics.
Singularity is the focus of his Mathematical analysis research.
His Lipschitz continuity study combines topics in areas such as Complex plane, Plane curve, Constant, Topology and Germ.
His Surface research is multidisciplinary, incorporating elements of Metric, Type, Tangent vector, Algebraic number and Tangent cone.
His research in Pure mathematics intersects with topics in Torus, Simple, Arbitrarily large, Bounded function and Upper and lower bounds.
Walter D. Neumann combines subjects such as Gravitational singularity and Essential singularity with his study of Normal surface.
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