Two subgroups with 2 dose cohorts of up to 6 patients each will be enrolled in this exploratory study in order to attempt to obtain immunologic and clinical data on patients with a variety of hematologic malignancies and amongst those in remission and early relapse. The 2 subgroups of patients will be treated with different schemas depending upon whether they are undergoing or have undergone autologous or allogeneic stem cell transplantation.