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.
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