D-Index & Metrics Best Publications

D-Index & Metrics

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 45 Citations 11,756 171 World Ranking 770 National Ranking 40
Engineering and Technology D-index 42 Citations 12,044 151 World Ranking 2313 National Ranking 78

Research.com Recognitions

Awards & Achievements

2018 - Steele Prize for Mathematical Exposition

2013 - Fellow of the American Mathematical Society

Overview

What is he best known for?

The fields of study he is best known for:

  • Combinatorics
  • Geometry
  • Algebra

His scientific interests lie mostly in Combinatorics, Mathematical proof, Polytope, Discrete mathematics and Matroid. His Partially ordered set study in the realm of Combinatorics connects with subjects such as Interior. His Mathematical proof study integrates concerns from other disciplines, such as Simple and Calculus.

His Polytope study combines topics from a wide range of disciplines, such as Polyhedral combinatorics and Regular polygon. The study incorporates disciplines such as Extension and Inversion in addition to Matroid. Günter M. Ziegler combines subjects such as Equivalence, Steinitz's theorem and Cyclic polytope with his study of Associahedron.

His most cited work include:

  • Lectures on Polytopes (2455 citations)
  • Proofs from THE BOOK (400 citations)
  • Proofs from "The Book" (242 citations)

What are the main themes of his work throughout his whole career to date?

Günter M. Ziegler focuses on Combinatorics, Polytope, Discrete mathematics, Regular polygon and Conjecture. Günter M. Ziegler interconnects Simple and Affine transformation in the investigation of issues within Combinatorics. His Polytope research integrates issues from Bounded function, Face, Polyhedral combinatorics and Convex hull.

His work carried out in the field of Discrete mathematics brings together such families of science as Linear programming, Homotopy, Upper and lower bounds and Simplex. His Regular polygon research is multidisciplinary, incorporating elements of Partition and Hyperbolic geometry. His study looks at the relationship between Conjecture and topics such as Equivariant map, which overlap with Type.

He most often published in these fields:

  • Combinatorics (77.30%)
  • Polytope (31.91%)
  • Discrete mathematics (27.63%)

What were the highlights of his more recent work (between 2014-2021)?

  • Combinatorics (77.30%)
  • Polytope (31.91%)
  • Regular polygon (14.14%)

In recent papers he was focusing on the following fields of study:

Combinatorics, Polytope, Regular polygon, Conjecture and Discrete mathematics are his primary areas of study. Günter M. Ziegler works on Combinatorics which deals in particular with Dimension. His Polytope research incorporates themes from Flag, Face, Characterization, Simple and Graph.

The concepts of his Regular polygon study are interwoven with issues in Intersection, Partition and General position. His Conjecture study combines topics in areas such as Embedding, Prime, Topology, Counterexample and Disjoint sets. His work deals with themes such as Computation and Gaussian elimination, which intersect with Discrete mathematics.

Between 2014 and 2021, his most popular works were:

  • Many non-equivalent realizations of the associahedron (78 citations)
  • Optimal bounds for the colored Tverberg problem (67 citations)
  • Tverberg’s Theorem at 50: Extensions and Counterexamples (35 citations)

In his most recent research, the most cited papers focused on:

  • Combinatorics
  • Geometry
  • Algebra

His primary scientific interests are in Combinatorics, Polytope, Conjecture, Discrete mathematics and Regular polygon. His Combinatorics study incorporates themes from Equivariant topology, Equivariant map and Upper and lower bounds. Many of his research projects under Polytope are closely connected to A priori and a posteriori with A priori and a posteriori, tying the diverse disciplines of science together.

His biological study spans a wide range of topics, including Disjoint sets and Prime, Topology. His Discrete mathematics research includes elements of Boundary, Bounded function and Inscribed figure. His studies deal with areas such as Intersection and Modulo as well as Regular polygon.

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.

Best Publications

Lectures on Polytopes

Günter M. Ziegler.
(1994)

4155 Citations

Proofs from THE BOOK

Martin Aigner;Gnter M. Ziegler.
(1998)

1817 Citations

Using the Borsuk-Ulam theorem : lectures on topological methods in combinatorics and geometry

Jiří Matoušek;Anders Björner;Gunter M Ziegler.
(2008)

937 Citations

Discrete Differential Geometry

Alexander I. Bobenko;Peter Schröder;John M. Sullivan;Günter M. Ziegler.
(2008)

562 Citations

Oriented matroids

Jürgen Richter-Gebert;Günter M. Ziegler.
Handbook of discrete and computational geometry (1997)

385 Citations

Proofs from "The Book"

Kiril Bankov;Martin Aigner;Gunter M. Ziegler.
The Mathematical Gazette (2001)

363 Citations

Das Buch der Beweise

Martin Aigner;Günter M. Ziegler.
bube (2002)

181 Citations

Bounds for lattice polytopes containing a fixed number of interior points in a sublattice

Jeffrey C. Lagarias;Günter M. Ziegler.
Canadian Journal of Mathematics (1991)

177 Citations

Lectures on 0/1-Polytopes

Günter M. Ziegler.
arXiv: Combinatorics (2000)

167 Citations

Basic properties of convex polytopes

Martin Henk;Jürgen Richter-Gebert;Günter M. Ziegler.
Handbook of discrete and computational geometry (1997)

166 Citations

Best Scientists Citing Günter M. Ziegler

Bernd Sturmfels

Bernd Sturmfels

Max Planck Institute for Mathematics in the Sciences

Publications: 38

Victor Reiner

Victor Reiner

University of Minnesota

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Alexander I. Bobenko

Alexander I. Bobenko

Technical University of Berlin

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David Avis

David Avis

McGill University

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Anders Björner

Anders Björner

Royal Institute of Technology

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Imre Bárány

Imre Bárány

University College London

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Emo Welzl

Emo Welzl

ETH Zurich

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Takayuki Hibi

Takayuki Hibi

Osaka University

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Micha Sharir

Micha Sharir

Tel Aviv University

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János Pach

János Pach

Alfréd Rényi Institute of Mathematics

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David Eppstein

David Eppstein

University of California, Irvine

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Helmut Pottmann

Helmut Pottmann

King Abdullah University of Science and Technology

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Francesco Amato

Francesco Amato

University of Naples Federico II

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Gil Kalai

Gil Kalai

Hebrew University of Jerusalem

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Jeff Erickson

Jeff Erickson

University of Illinois at Urbana-Champaign

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Richard P. Stanley

Richard P. Stanley

MIT

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Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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