Prof. Günter M. Ziegler

Projects as a project leader

• GV-AP5

  Geometric Constraints for Polytopes

  Raman Sanyal / Prof. Günter M. Ziegler

  Project heads: Raman Sanyal / Prof. Günter M. Ziegler
  Project members: -
  Duration: 01.07.2012 - 30.06.2020
  Status: running
  Located at: Freie Universität Berlin
  

  Description

  Polytopes are solid bodies bounded by flat facets. Alternatively, they can be described as the convex hull of their vertices. Thus a polytope can be presented by information on two aspects, a geometric one: "What are the coordinates of the vertices" and a combinatorial one: "Which vertex is incident to which face". There are many interrelations between these two levels: Combinatorial requirements enforce restrictions on the geometry, and vice versa. A03 studies aspects of this interplay.
  
  http://www.discretization.de/en/projects/A03/

• GV-AP12

  SDModels - Structured Discrete Models as a basis for studies in geometry, numerical analysis, topology, and visualization

  Prof. Günter M. Ziegler

  Project heads: Prof. Günter M. Ziegler
  Project members: -
  Duration: 01.07.2010 - 30.06.2015
  Status: completed
  Located at: Freie Universität Berlin
  

  Description

  This project was successfully completed June 2015, after five years of intensive work, three very productive SDModels workshops, and lots of other activities. It has produced numerous successes, advanced the careers of the students and scientists involved, and produced a lot of output - a large part of this documented in scientific publications, many more papers are still under review and on the way to publication. We are happy for all the support and opportunities we had with this project, and grateful to ERC and its reviewers and administrators for making it possible. The work by SDModels is documented on these web pages. They will not be updated any more after December 2015: Please see the web pages of the scientists involved for their continuing work.
  
  The research of the SDModels project has connected traditionally quite distant fields of current mathematical research via common or structurally similar discrete (mostly: geometric) models. We thus made substantial contributions to mathematical research, by highlighting, developing, and exploiting theory for common structures and structural similarities that occur in problems/theories from diverse mathematical application areas. This involved, in particular, the areas of

  1. Discrete Geometry
  2. Discrete Differential Geometry
  3. Mesh Generation/Numerics of PDEs
  4. Topology, Topological Combinatorics
  5. Simplicial Quantum Gravity

  
  The work in the project was concentrated in three Focus Areas, namely

  • Focus Area 1: High-complexity Geometry
  • Focus Area 2: Delaunay Geometry: Polyhedral models with circle/sphere patterns
  • Focus Area 3: Topological connectivity and diameter of Discrete Structures

  
  
  http://www.mi.fu-berlin.de/math/groups/discgeom/projects/ERC/index.html

• EO-AP3

  Netzwerkbüro Schule-Hochschule der DMV

  Prof. Günter M. Ziegler

  Project heads: Prof. Günter M. Ziegler
  Project members: -
  Duration: 01.04.2009 - 31.01.2019
  Status: completed
  Located at: Freie Universität Berlin
  

  Description

  Ermöglicht wurde die Einrichtung dieses DMV-Büros durch die Deutsche Telekom Stiftung (DTS) im Jahr 2010, die sich davon erhofft, Lehrende an Schulen und Hochschulen zum stärkeren Austausch und zur Unterstützung untereinander anzuregen. Langfristig wünschen sich DMV und DTS eine Verbesserung der Qualität des Mathematikunterrichts in den Schulen. Ein Ziel dabei ist, junge Menschen für mathematische Ausbildungsberufe und Studienfächer zu gewinnen, um Nachwuchsproblemen entgegenzuwirken.
  
  Inhaltlich verantwortet Professor Günter M. Ziegler (FU Berlin) die vielfältigen Aktivitäten des DMV-Netzwerkbüros. Das Netzwerkbüro befindet sich im Institut für Mathematik an der Freien Universität Berlin in räumlicher Nähe zu Günter M. Ziegler und dem Medienbüro der DMV mit Thomas Vogt.
  
  https://dmv.mathematik.de/index.php/schulthemen/netzwerkbuero

• EO-AP4

  Communication and Presentation - Research on Transporting Maths Content to the Public

  Prof. Alexander I. Bobenko / Prof. Günter M. Ziegler

  Project heads: Prof. Alexander I. Bobenko / Prof. Günter M. Ziegler
  Project members: -
  Duration: 01.07.2012 - 30.06.2020
  Status: running
  Located at: Freie Universität Berlin
  

  Description

  Images from geometry can serve as a visual pathway into mathematics. In the SFB they are leading in particular into pioneer research. This is to be taken as an opportunity: We would like to learn more about how mathematics can be communicated by means of visual content. And we would like to communicate new results from the SFB.
  
  http://www.discretization.de/en/projects/CaP/