- Home
- Best Scientists - Mathematics
- Walter D. Neumann

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
6,169
126
World Ranking
2007
National Ranking
859

2013 - Fellow of the American Mathematical Society

2003 - Member of the European Academy of Sciences

- 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.

- 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)

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.

- Pure mathematics (57.49%)
- Gravitational singularity (22.16%)
- Combinatorics (19.16%)

- Pure mathematics (57.49%)
- Lipschitz continuity (9.58%)
- Gravitational singularity (22.16%)

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.

- 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)

- 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.

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.

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities.

David Eisenbud;Walter D. Neumann.

**(1986)**

619 Citations

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities.

David Eisenbud;Walter D. Neumann.

**(1986)**

619 Citations

Volumes of hyperbolic three-manifolds

Walter D. Neumann;Don Zagier.

Topology **(1985)**

504 Citations

Volumes of hyperbolic three-manifolds

Walter D. Neumann;Don Zagier.

Topology **(1985)**

504 Citations

A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves

Walter D. Neumann.

Transactions of the American Mathematical Society **(1981)**

358 Citations

A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves

Walter D. Neumann.

Transactions of the American Mathematical Society **(1981)**

358 Citations

A geometric invariant of discrete groups

Robert Bieri;Walter D. Neumann;Ralph Strebel.

Inventiones Mathematicae **(1987)**

320 Citations

A geometric invariant of discrete groups

Robert Bieri;Walter D. Neumann;Ralph Strebel.

Inventiones Mathematicae **(1987)**

320 Citations

Seifert manifolds, plumbing, µ-invariant and orientation reversing maps

Walter D. Neumann;Frank Raymond.

**(1978)**

316 Citations

Seifert manifolds, plumbing, µ-invariant and orientation reversing maps

Walter D. Neumann;Frank Raymond.

**(1978)**

316 Citations

Geometry and Topology

(Impact Factor: 1.909)

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Max Planck Institute for Mathematics

University of Maryland, College Park

University of California, Berkeley

University of Illinois at Chicago

Max Planck Institute for Mathematics

McGill University

University of Adelaide

University of California, Los Angeles

Synopsys (United States)

University of Arkansas at Fayetteville

Tokyo Institute of Technology

LGC

Boston University

University of Udine

Arizona State University

University of Houston

The Open University

Duke University

University of British Columbia

University of Tokyo

New York University

Something went wrong. Please try again later.