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Exploration of simpler entangled structures in 3-space is surpisingly undeveloped. Here we plan to catalogue simpler knots, links and tangled nets via two-dimensional geometry.
In this project, we will study the formation of regular patterns, as well as defects, on closed curved surfaces such as boundaries of granular packings.
The notion of protein secondary and tertiary structure is a loose one, that deserves a deeper look. Some proteins are considered to be highly structured in their usual folded state, others lack well defined structures. We are interested in the basic question "what is structure in a folded protein chain"?
A variety of projects are available that will contribute to the enumeration and characterisation of 3-periodic network structures via the tiling of periodic minimal surfaces and thereby enhance our understanding of self-assembled structures in nature.
What are the underlying geometric and topological properties of periodic structures that guarantee large and stable porosity in nano-porous crystalline materials required for gas storage and efficient catalysis?
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