A Phase I Study of WT1 Peptides to Induce Anti-Leukemia Immune Responses Following Transplantation

Inclusion Criteria: There are two subgroups of patients: Those undergoing autologous stem cell transplantation and those undergoing allogeneic stem cell transplantation. Autologous transplant subgroup: -Patients with the following hematologic malignancies (AML, CML, ALL, B cell malignancies, and myelodysplastic syndrome) who will be undergoing autologous stem cell transplantation. Allogeneic transplantation subgroup: -Patients with the following hematologic malignancies (AML, CML, ALL, B cell malignancies, and myelodysplastic syndrome) who have undergone allogeneic stem cell transplantation. There is no limitation on whether myeloablative or non-myeloablative chemotherapy is administered. A 3/6 or greater match is required for patients who have had an allogeneic stem cell transplant. Both subgroups: * Subject must be one of the following HLA types: HLA A2, A24, DR15 or DRw53 (includes HLA-DR4, -DR7, and DRw9) * Karnofsky performance status must be greater than or equal to 70%. * Age ≥ 18 years. * Ability to understand and provide signed informed consent that fulfills Institutional Review Board guidelines. * Patient must agree to use adequate contraception defined as: for women, one of the following (1) surgical sterilization, (2) approved hormonal contraceptives (such as birth control pills, Depo-Provera, or Lupron Depot), (3) barrier methods (such as a condom or diaphragm) used with a spermicide, or (4) an intrauterine device (IUD); for men, one of the following: (1) surgical sterilization, or (2) a condom used with a spermicide. * In order to receive their immunizations, subjects should be: For autologous transplants: * At least 2 weeks from prior chemotherapy. * Injections 1 and 2 must be completed prior to administration of any growth factor mobilization * Injections 3, 4, 5, and 6, to resume 2 or more weeks from the time of their stem cell infusion if there has been no Grade 3 or 4 non-hematologic, major organ toxicity within the preceding 1 week. Non-major organ toxicities must have resolved to grade 2 or less. For allogeneic transplants, * At least 2 weeks from the time of their stem cell infusion. * Without Grade 3 or 4 non-hematologic major organ toxicity within the preceding 1 week; non major organ toxicities must have resolved to grade 2 or less. * We will require demonstration of \>50% donor myeloid hematopoiesis, based on microsatellite polymorphisms, prior to enrolling the patients with MDS on the study. * Adequate laboratory data as follows: Hematologic function: WBC ≥ 3000/microliter, hemoglobin ≥ 9 g/dL (may transfuse or use erythropoietin to achieve this level), platelets ≥ 50,000/microliter ((may transfuse). Renal and hepatic function: serum creatinine \< 1.5 mg/dL, bilirubin \< 1.5 mg/dL (except a bilirubin of \<2.0 will be permitted for patents with Gilbert's syndrome), SGOT/SGPT \< 2 x upper limit of normal. * Subjects must have a CD4+ count is \> 200/mm. There is no specified requirement for CD8+ T cell count. * Urine protein/creatinine ratio (UPC) must be less than 1. Exclusion Criteria: * Corticosteroid (greater than 10mg per day of prednisone or an equipotent dose of another corticosteroid) or other immunosuppressive therapy within the prior 1 week. * Pregnant women and nursing mothers. * Current or prior history of brain metastases. * More than 12 months since their stem cell transplant. * HIV +, hepatitis BsAg +, Hepatitis C Ab+.