Project B2
Combinatorial and topological structure of aperiodic tilings
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Summary:
Combinatorial aspects of periodic and aperiodic tilings are investigated, with special emphasis on generalised symmetries and topological invariants. Of particular interest are crystallographically relevant sublattice structures and their generalisations to $\mathbb{Z}$-modules as well as the calculation and the geometric understanding of cohomology and K-groups for tiling spaces.
This project continues the successful work of the project Combinatorial and geometric structure of aperiodic tilings under the direction of Christoph Richard and Michael Baake.
Recent Preprints:
