Our research combines mathematical modeling and electron microscopy to investigate lower-dimensional carbon configurations. Aim of the project is to address the fine geometry of graphene, nanotubes, and fullerenes as well as the emergence of defects. Further details can be found on our project page. This project has been funded with the 2014 WWTF call "Mathematics and ..." and run jointly by the Research Groups in Applied Mathematics and Modeling and Disorder in Materials at the University of Vienna.