Parallel MRI (pMRI) increases the speed of the MRI acquisition by simultaneously receiving the data through a number of receiver coils with different spatial sensitivities. These sensitivity maps are used to reconstruct the MR image from missing k-space samples. Unfortunately, the sensitivity maps are patient dependent and they have to be calibrated for each person. The goal of this project is to perform joint reconstruction of the MR image from reduced k-space sampling and the coil sensitivity maps in order to reduce the acquisition time. The student will design physically grounded algorithms and apply it to real data. This project is in collaboration with Institute of Biomedical Engineering of ETHZ. Prerequisites: Familiarity with MATLAB (or Java); solid understanding of linear algebra; familiarity with convex optimization is a plus.