The Workgroup “Discrete Geometry and Topological Combinatorics” (acting head: Prof. Georg Loho, head: Prof. Günter M. Ziegler) concentrates on

• problems in discrete geometry (in particular: polytope theory, discrete differential geometry, reflection groups, geometry of numbers) and
• topological questions (e.g. about configuration spaces and their invariants, equivariant cohomology, and triangulations), which in turn are motivated by questions from discrete geometry. 

It is presently supported by Deutsche Forschungsgemeinschaft DFG via the joint Mathematics graduate school of the three Berlin universities Berlin Mathematical School, the Berlin-Munich Collaborative Research Center Discretization in Geometry and Dynamics (project A03 Geometric constraints for polytopes and project CaP Communication and presentation) as well as the Research Training Group Facets of Complexity.

The group is grateful for past support by the DFG Research Center “Matheon – Mathematics for Key Technologies” and by the European Research Council via an ERC Advanced Grant “SDModels: Structured Discrete Models as a basis for studies in Geometry, Numerical Analysis, Topology, and Visualization”.

It hosts the "MIP.labor" Ideas Laboratory for Science Journalism on Mathematics, Computer Science and Physics, the “Mathematics Media Office” for the German Mathematical Society DMV, as well as the “Network Office Schools – Universities”, whose creation was funded by Deutsche Telekom Foundation, and which currently co-funds the "German Centre for Mathematics Teacher Education" (DZLM).

Discrete Geometry Group
Image Credit: Kay Herschelmann