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Günter M. Ziegler

Günter M. Ziegler

D-Index & Metrics

Mathematics

D-Index
49
Citations
14672
World Ranking
1118
National Ranking
57

Engineering and Technology

D-Index
49
Citations
14269
World Ranking
4218
National Ranking
131

Research.com Recognitions

  • 2018 - Steele Prize for Mathematical Exposition
  • 2013 - Fellow of the American Mathematical Society

Overview

Günter M. Ziegler is affiliated with Freie Universität Berlin in Germany. Their research spans various domains within mathematics, with a focus on algebraic topology, combinatorics, and geometry. The main field of study associated with their work is Mathematics, encompassing 35 publications.

Their subfields of study include:

  • Mathematical Physics
  • Discrete Mathematics and Combinatorics
  • Geometry and Topology
  • Algebra and Number Theory
  • Applied Mathematics

Key topics of Günter M. Ziegler's research contributions are:

  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Topics in Algebra
  • Advanced Combinatorial Mathematics
  • Education Methods and Technologies
  • Geometric and Algebraic Topology
  • Algebraic structures and combinatorial models
  • Advanced Operator Algebra Research

Some recent papers authored or co-authored by Ziegler include:

  • "Celebrating Loday's associahedron," 2023, Archiv der Mathematik
  • "Counting Periodic Trajectories of Finsler Billiards," 2020, Symmetry Integrability and Geometry Methods and Applications
  • "Equivariant Cohomology of Configuration Spaces mod 2: The State of the Art," 2020, arXiv (Cornell University)
  • "COMBINATORIAL INSCRIBABILITY OBSTRUCTIONS FOR HIGHER DIMENSIONAL POLYTOPES," 2020, Mathematika
  • "ON THE DIMENSIONS OF THE REALIZATION SPACES OF POLYTOPES," 2021, Mathematika

Frequent co-authors collaborating with Günter M. Ziegler include:

  • Pavle V. M. Blagojević
  • Fred Cohen
  • M. C. Crabb
  • Wolfgang Lück
  • Rainer Sinn

Günter M. Ziegler has multiple publications in respected venues, with frequent appearances in:

  • Mitteilungen der Deutschen Mathematiker-Vereinigung
  • arXiv (Cornell University)
  • Mathematika
  • Archiv der Mathematik
  • Symmetry Integrability and Geometry Methods and Applications

They have authored books published by Springer Nature, including:

  • Equivariant Cohomology of Configuration Spaces Mod 2, 2021

Günter M. Ziegler's awards include:

  • Steele Prize for Mathematical Exposition, 2018
  • Fellow of the American Mathematical Society, 2013

Best Publications

  • Lectures on Polytopes

    Günter M. Ziegler

  • Proofs from THE BOOK

    Martin Aigner;Gnter M. Ziegler

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

    Jiří Matoušek;Anders Björner;Gunter M Ziegler

  • Discrete Differential Geometry

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

  • Oriented matroids

    Jürgen Richter-Gebert;Günter M. Ziegler

  • Bounds for Lattice Polytopes Containing a Fixed Number of Interior Points in a Sublattice

    Jeffrey C. Lagarias;Günter M. Ziegler

  • Lectures on 0/1-Polytopes

    Günter M. Ziegler

  • Das Buch der Beweise

    Martin Aigner;Günter M. Ziegler

  • Basic properties of convex polytopes

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

  • Proofs from "The Book"

    Steve Abbott;Martin Aigner;Gunter M. Ziegler

  • Matroid Applications: Introduction to Greedoids

    Anders Björner;Günter M. Ziegler

  • Homotopy Types of Subspace Arrangements via Diagrams of Spaces.

    Günter M. Ziegler;Rade T. Zivaljevic

  • Hyperplane arrangements with a lattice of regions

    Anders Björner;Paul H. Edelman;Günter M. Ziegler

  • Generalized Kneser coloring theorems with combinatorial proofs

    Günter M. Ziegler

  • Kissing numbers, sphere packings, and some unexpected proofs

    Florian Pfender;Günter M. Ziegler

  • Multiarrangements of hyperplanes and their freeness

    Günter M. Ziegler

  • Combinatorial stratification of complex arrangements

    Anders Björner;Günter M. Ziegler

  • Higher bruhat orders and cyclic hyperplane arrangements

    Günter M. Ziegler

  • Broken circuit complexes: factorization and generalizations

    Anders Björner;Günter M. Ziegler

  • Polytopes : combinatorics and computation

    Gil Kalai;Gunter M Ziegler

  • Homotopy colimits – comparison lemmas for combinatorial applications

    Volkmar Welker;Günter M Ziegler;Rade T Živaljević

Frequent Co-Authors

Anders Björner
Anders Björner Royal Institute of Technology
Bernd Sturmfels
Bernd Sturmfels Max Planck Institute for Mathematics in the Sciences
Wolfgang Lück
Wolfgang Lück University of Bonn
Micha Sharir
Micha Sharir Tel Aviv University
Günter Rote
Günter Rote Freie Universität Berlin
Gil Kalai
Gil Kalai Hebrew University of Jerusalem
David Eppstein
David Eppstein University of California, Irvine
Greg Kuperberg
Greg Kuperberg University of California, Davis
János Pach
János Pach Alfréd Rényi Institute of Mathematics

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