Through the new research program contained in this proposal we want to address theoretical nuclear physics aspects that relate to two research campaigns of high scientific profile: 1. The search for electric dipole moments in nuclei/atoms/molecules. 2. Sensitivity of nuclear structure to effective field theory interactions. The first program aims at searching for elusive charge-parity (CP) violation in the strong sector, and the second can improve our understanding of nuclear forces and their connection to the more fundamental theory of Quantum Chromodynamics. The achievement of these ambitious goals relies on progress at the frontier of modern ab initio nuclear theory. Through this proposal we want to initiate a completely new research program in state-of-the-art many-body modeling within the nuclear theory group at Chalmers. Employing recently developed computational frameworks we will pursue (deformed) mean-field and beyond mean-field calculations of medium- and heavy-mass nuclear systems. --- The computations involve two connected tasks (see Resource usage for details): --- 1. The construction of nuclear interaction matrix elements from chiral effective field theory. 2. Production runs with state-of-the-art many-body solvers for quantum systems of strongly-interacting particles. --- This research project is connected to the following research grant: --- (i) VR project grant: "Precision Nuclear Theory" (C.Forssen, PI) and the following ERC Advanced Grant proposal which is currently in step 2 review: (ii) ERC AdG proposal "Precision nuclear theory for new physics searches"