The most important goal for designing future therapeutic interventions is to understand the nature of persistent HIV infection in patients successfully treated with potent antiretroviral therapy and to develop strategies to promote the clearance of these reservoirs or at least long-term suppression of these reservoirs. If latently infected cells are able to persist for a long period (despite effective suppression of de novo infection) primarily because immune clearance is not being adequately stimulated by viral antigen, then HIV-specific immunization is a reasonable strategy to enhance the clearance of these cells. Stimulating effective HIV-specific cellular immune responses at a time when plasma viremia is maximally suppressed also may contribute to the long-term containment of HIV replication on potent antiretroviral therapy. A second component to be evaluated in this trial is whether broad, cyclical activation of T cells with IL-2 will increase the activation of HIV proviral gene expression and thereby render target cells susceptible to immune-mediated clearance. This pathogenesis-based clinical trial will explore the potential for these novel treatment strategies (HIV-specific immunization and IL-2, alone and in combination) to complement the effects of potent antiretroviral therapy by promoting more effective immunologic control of HIV-1 replication.