Nuclear physics is the study of the fundamental building blocks of matter and how they interact and combine to form the nucleons, elements, and exotic nuclear states that constitute the observed universe. The field addresses the origin of the elements formed by nuclear processes in environments from the third minute of the Big Bang to quiescent and explosive stellar systems that have evolved in the later phases of our expanding universe. Nuclear physics has triggered many applications with enormous societal implications, from nuclear energy production to the use of nuclear isotopes for medical diagnostics. The National Ignition Facility (NIF) offers a significant next step in experimental nuclear physics. NIF experiments will be able to probe nuclear reactions in a plasma environment similar to that found in stellar interiors. Such plasma conditions, which allow for significant population of nuclear excited states, cannot be replicated in existing accelerator or reactor based research environments. Probing nuclear interactions in a plasma environment will provide unprecedented opportunities for exploration of phenomena at the intersection of atomic and nuclear physics. The symposium discusses experiments at NIF and other facilities involving nuclear reactions in high-energy-density plasmas.