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- Günter M. Ziegler

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
47
Citations
13,950
314
World Ranking
911
National Ranking
46

Engineering and Technology
D-index
47
Citations
13,521
144
World Ranking
2310
National Ranking
76

2018 - Steele Prize for Mathematical Exposition

2013 - Fellow of the American Mathematical Society

- 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.

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

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.

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

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

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.

- 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)

- 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.

Lectures on Polytopes

Günter M. Ziegler.

**(1994)**

4468 Citations

Proofs from THE BOOK

Martin Aigner;Gnter M. Ziegler.

**(1998)**

1867 Citations

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

Jiří Matoušek;Anders Björner;Gunter M Ziegler.

**(2008)**

972 Citations

Discrete Differential Geometry

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

**(2008)**

575 Citations

Oriented matroids

Jürgen Richter-Gebert;Günter M. Ziegler.

Handbook of discrete and computational geometry **(1997)**

370 Citations

Proofs from "The Book"

Kiril Bankov;Martin Aigner;Gunter M. Ziegler.

The Mathematical Gazette **(2001)**

363 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)**

191 Citations

Das Buch der Beweise

Martin Aigner;Günter M. Ziegler.

bube **(2002)**

187 Citations

Basic properties of convex polytopes

Martin Henk;Jürgen Richter-Gebert;Günter M. Ziegler.

Handbook of discrete and computational geometry **(1997)**

173 Citations

Lectures on 0/1-Polytopes

Günter M. Ziegler.

arXiv: Combinatorics **(2000)**

169 Citations

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