Title: Optimizing NMR and MRI Experiments

Nuclear Magnetic Resonance (NMR) and Magnetic Resonance Imaging (MRI) use magnetic properties of nuclei to determine the chemical structure and function of molecules and the anatomical structure and function of humans and animals. Unlike other imaging methods, the experiments have very limited physical constraints, and since the equipment is very expensive, we would like to minimize the experiment time to maximize the use of the machine.
I will give a classification of the different design problems which arise, how different methods (sequential SDP, SOCP, and sequential LP) have been used to solve these problems, and problems for which I believe there are better solutions waiting to be discovered.