Inclusion Criteria:

• HIV positive
• Treatment with HAART for at least 1 month
• Viral load has decreased by >= 1.5 logs or viral load < 5000 copies/ml plasma on HAART therapy
• Hematologic malignancy associated with a poor prognosis with medical therapy alone
• Diagnoses to be included: acute myeloid leukemia in first remission, second remission, or relapse; acute lymphoblastic leukemia in first remission, second remission, or relapse
• Diagnoses to be included: chronic myeloid leukemia in accelerated phase or blast phase (chronic phase is allowed if patient has not achieved a cytogenetic remission or has developed unacceptable toxicity to medical therapy, such as tyrosine kinase inhibitor therapy); myelodysplastic syndrome (MDS) with IPSS score > 1
• Diagnoses to be included: myeloproliferative disorders, including chronic myelomonocytic leukemia (CMML), agnogenic myeloid metaplasia with myelofibrosis, juvenile CML, or unclassified myeloproliferative disorders; Hodgkin's lymphoma beyond first remission; non-Hodgkin's lymphoma beyond first remission
• Approval for regimen given at Patient Care Conference
• The patient must have autologous or allogeneic donor marrow or peripheral blood stem cells available
• Related donor matched for at least 9 of 10 HLA-A, B, C, DRB1, and DQB1 alleles
• Unrelated donor matched for at least 9 of 10 HLA-A, B, C, DRB1, and DQB1 alleles

Exclusion Criteria:

• Positive serology for toxoplasma gondii AND requiring treatment or with evidence of active infection
• A medical history of noncompliance with HAART or medical therapy
• Prior myeloablative allogeneic or autologous transplant using any hematopoietic stem cell source
• Evidence of poor medical health, other than primary disease
• Please contact study investigator and/or consult protocol document for specific details on laboratory criteria
• Cardiac insufficiency or coronary artery disease requiring treatment
• Active infection requiring systemic antibiotic therapy with antibacterial, antifungal, or antiviral agents (excluding HIV)
• Karnofsky performance score < 70
• Patients capable of conceiving a child and unwilling to use procedures to prevent conception
• Pregnancy or patients actively breastfeeding