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Mathematics

D-Index
38
Citations
6736
World Ranking
2324
National Ranking
983

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2003 - Member of the European Academy of Sciences

Overview

Walter D. Neumann is a researcher affiliated with Columbia University in the United States. Their academic work primarily concentrates on mathematics and computer science, with a significant focus on geometry, topology, and related mathematical theories.

The main fields of study for Walter D. Neumann include:

  • Mathematics
  • Computer Science

Within these broader disciplines, their subfields of study encompass:

  • Geometry and Topology
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

The researcher's key topics of work are:

  • Algebraic Geometry and Number Theory
  • Geometric and Algebraic Topology
  • Advanced Differential Equations and Dynamical Systems
  • Homotopy and Cohomology in Algebraic Topology
  • Mathematics and Applications
  • History and Theory of Mathematics
  • Advanced Combinatorial Mathematics

Recent papers authored by Walter D. Neumann include:

  • Orbifold splice quotients and log covers of surface pairs, 2021, Journal of Singularities
  • Complex surface singularities with integral homology sphere links, 2021, UNC Libraries
  • Universal abelian covers of quotient-cusps, 2021, UNC Libraries
  • Complete intersection singularities of splice type as universal abelian covers, 2021, UNC Libraries

Frequent co-authors collaborating with Walter D. Neumann include:

  • Jonathan Wahl
  • Anne Pichon

Regarding publication venues, their work has appeared mainly in:

  • UNC Libraries
  • Journal of Singularities

Walter D. Neumann has also contributed to book publications, with a notable title:

  • Introduction to Lipschitz Geometry of Singularities, published by Springer Nature in 2020

The academic recognition awarded to Walter D. Neumann includes:

  • Fellow of the American Mathematical Society, 2013
  • Member of the European Academy of Sciences, 2003

Best Publications

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

    David Eisenbud;Walter D. Neumann

  • Volumes of hyperbolic three-manifolds

    Walter D. Neumann;Don Zagier

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

    Walter D. Neumann

  • A geometric invariant of discrete groups

    Robert Bieri;Walter D. Neumann;Ralph Strebel

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

    Walter D. Neumann;Frank Raymond

  • Differentiable manifolds and quadratic forms

    Friedrich Hirzebruch;Walter D. Neumann;Sebastian S. Koh

  • Arithmetic of Hyperbolic Manifolds

    Walter D. Neumann;Alan W. Reid

  • Transverse foliations of Seifert bundles and self homeomorphism of the circle

    David Eisenbud;Ulrich Hirsch;Walter Neumann

  • Casson invariant of links of singularities

    Walter Neumann;Walter Neumann;Jonathan Wahl;Jonathan Wahl

  • On intersections of finitely generated subgroups of free groups

    Walter D. Neumann

  • Proof of the Poincaré-Birkhoff fixed point theorem.

    M. Brown;W. D. Neumann

  • Extended Bloch group and the Cheeger-Chern-Simons class

    Walter D Neumann

  • Complete intersection singularities of splice type as universal abelian covers

    Walter D. Neumann;Jonathan Wahl

  • BLOCH INVARIANTS OF HYPERBOLIC 3-MANIFOLDS

    Walter D. Neumann;Jun Yang

  • Combinatorics of Triangulations and the Chern-Simons Invariant for Hyperbolic 3-Manifolds

    Walter D. Neumann

  • Automatic structures, rational growth, and geometrically finite hyperbolic groups.

    Walter D. Neumann;Michael Shapiro

  • Computing arithmetic invariants of 3-manifolds

    David Coulson;Oliver A. Goodman;Craig D. Hodgson;Walter D. Neumann

  • Complex algebraic plane curves via their links at infinity

    Walter D. Neumann

  • Rotation Numbers of Products of Circle Homeomorphisms

    Mark Jankins;Walter D. Neumann

  • An invariant of plumbed homology spheres

    Walter D. Neumann

Frequent Co-Authors

Don Zagier
Don Zagier Max Planck Institute for Mathematics
Jonathan H. Manton
Jonathan H. Manton University of Melbourne
William M. Goldman
William M. Goldman University of Maryland, College Park
Louis H. Kauffman
Louis H. Kauffman University of Illinois at Chicago
David Eisenbud
David Eisenbud University of California, Berkeley
Friedrich Hirzebruch
Friedrich Hirzebruch Max Planck Institute for Mathematics

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