The purpose of this February 2003 symposium was to honor the achievements of Professor Jerry P. Drayer on his sixtieth birthday, and to discuss computational and algebraic approaches to the nuclear many-body problem. The papers in these proceedings therefore have general themes of SU(3) and symplectic models and their implications, random Hamiltonians, pseudo-spin in nuclear physics, collective phenomena, computational physics and large-scale models, and mathematical physics. Special topics include a toy model for QCD at low and high temperatures and vacuum, and matter, antimatter and the problem of cold compression. The proceedings include summaries of papers presented at the poster session.