Experimental groups in Stuttgart are pushing the limits of measurement technology in many domains of condensed matter science. For instance, the newly commissioned High Precision Laboratory on the MPI-FKF campus will house experiments using scanning probe spectroscopy with record sensitivity, magnetometry with spatial resolution in the nm range, and novel low- temperature transport experiments. Spectroscopic methods pioneered in Stuttgart include Fourier-limited and phase-stable ultrafast laser sources, neutron spectroscopy with µeV energy resolution, high-resolution polarized x-ray spectro-microscopy, and phase-sensitive optical spectroscopy ranging from THz to UV. Top-level expertise in transmission electron microscopy is also available in Stuttgart. Theoretical methods developed in Stuttgart include novel numerical and field-theoretical schemes for correlated-electron systems, and density functional methods for soft matter. The IMPRS-CMS will ensure that students will learn about the different methods available on the Stuttgart campus, and obtain access to local collaborations for their thesis projects.