Periodic frameworks, viewed as simple mechanisms, can be rigid or display a variety of exotic deformation properties such as surface modes or expansive auxetic motion. This project will conduct a systematic search for frameworks with these properties. 

Explore the geometry and symmetries of surfaces and other mathematical objects and explore their relevance in physical, chemical and biological contexts. 

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?

A range of projects are available applying and developing the tools of topological data analysis. Data include 2D and 3D images, structural motifs in molecular-dynamics simulations, and porous materials.