Intravenous Administration of RGI-2001 in Patient Undergoing Allogenic Hematopoietic Stem Cell Transplantation (AHSCT)

Inclusion Criteria: 1. Subject has a hematological malignancy or aplastic anemia (AA) and is undergoing a first allogeneic transplant procedure. 2. Meet one of the following underlying disease criteria: a. Acute myelogenous leukemia (AML) i. First or subsequent morphologic remission b. Acute lymphoblastic leukemia (ALL) i. First or subsequent morphologic remission c. Chronic myelogenous leukemia (CML) i. Chronic phase; or ii. Accelerated phase d. Multiple Myeloma (MM) i. Not more than 20% plasma cells in the bone marrow e. Myelodysplastic syndrome (MDS), including chronic myelomonocytic leukemia (CMML), who have received at least one previous induction regimen and have \<10% blasts f. Myeloproliferative disorder (MPD), including; i. myeloid metaplasia, and ii. myelofibrosis g. Non-Hodgkin's Lymphoma (NHL) i. High-risk NHL in first remission; or ii. Relapsed or refractory NHL h. Hodgkin's lymphoma (HL) beyond first remission i. Aplastic anemia (AA) 3. Male or female, age ≥18 years of age 4. Reasonable expectation of survival for at least 3 months, if the transplant procedure is successful 5. Eastern Cooperative Oncology Group (ECOG) status of 0-2 or Karnofsky Performance Status (KPS) of \> 60 6. Transplant Donor 1. Part 1 (Phase 1: Dose Escalation Phase): Unrelated transplant donor with no more than 1 HLA allele or antigen mismatch, defined as loci A, B, C and DR (note: DQ is excluded) 2. Part 2 (Phase 2a: Expansion Phase):Related or unrelated transplant donor, with no more than 1 HLA allele or antigen mismatch, defined as loci A, B, C and DR (note: DQ is excluded). 7. Source of the allograft 1. Part 1 (Phase 1: Dose Escalation Phase):Unmodified (non-manipulated) bone marrow, or mobilized peripheral blood stem cell (PBSC) transplant, using G-CSF as the mobilizing agent. 2. Part 2: (Phase 2a: Expansion Phase) Unmodified (non-manipulated) bone marrow, or mobilized peripheral blood stem cell (PBSC) transplant, using G-CSF as the mobilizing agent. 8. Anti-graft-versus-host disease (GvHD) prophylaxis: A calcineurin inhibitor \[either tacrolimus (FK506) or cyclosporin A)\], in combination with either methotrexate (MTX), mycophenolate mofetil (MMF) or sirolimus (RAPA) all at doses as per the institutional protocols 9. Adequate hepatic function, with bilirubin not exceeding the upper limit of normal (except when attributed to Gilbert's Disease), and AST and ALT of less than 1.5 times the upper limit of normal 10. No clinically significant cardiac conduction disorder on screening ECG 11. Serum creatinine ≤ 2.0 mg/dL 12. Female patients of childbearing potential must have a negative serum pregnancy test prior to enrollment and must agree to use dual method of contraception for 30 days after study drug administration. Approved methods of contraception include, an IUD with spermicide, a female condom with spermicide, a diaphragm with spermicide, a cervical cap with spermicide, use of a condom with spermicide by sexual partner or a sterile sexual partner. 13. If male, subjects must be sterile or willing to use an approved method of contraception from the time of Informed Consent to 30 days after study drug treatment. Males must be willing to refrain from sperm donation within 30 days after study drug treatment. 14. No clinically significant acute or chronic medical condition that in the opinion of the investigator will interfere with study participation 15. No clinically significant laboratory abnormalities as determined by the Principal Investigator, in consultation with the Sponsor's Medical Monitor 16. No active infection 17. Have signed written informed consent before undergoing any study related procedures and is willing to comply with all study procedures Exclusion Criteria: 1. Female subjects who are pregnant or lactating 2. Subjects about to undergo a non-ablative or non-myeloablative transplant 3. AML or ALL patient who are in relapse (\>5% blasts) or who are defined as primary refractory 4. Blast crisis CML 5. Radiation, chemotherapy, immunotherapy in the previous 3 weeks, unrelated to the transplant procedure 6. Subjects who, in the judgment of the Investigator have not recovered from the effects of previous therapy 7. Subject who is about to undergo cord blood transplantation 8. Procedures that are intended to deplete regulatory T-cells from donor transplant materials 9. Known or suspected HIV infection 10. Active hepatitis A, B, or C infection in recipient or donor 11. Uncontrolled active infection requiring IV antibiotics in recipient or donor 12. Major surgery within 1 month before Day 0 13. Participation in an investigational study within 1 month prior to Day 0 14. Prior treatment with anti-CD3 antibodies 15. Treatment with anti-CD20 antibodies or anti-thymocyte globulin (ATG) within 3 months of the AHSCT procedure (i.e. infusion of transplant material and RGI-2001). 16. Vaccination within the preceding 2 weeks prior to the planned dose of RGI-2001 17. Planned vaccination within 2 months after study drug administration 18. Known history of cardiac dysfunction (e.g. \<50% ejection fraction), ischemia, conduction abnormalities, or myocardial infarction in the previous six months 19. Cardiac pacemaker or automatic implantable cardioverter-defibrillator 20. Marked baseline prolongation of QT/QTc interval (e.g., repeated demonstration of a QTc interval \>450 ms 21. Congenital long QT syndrome or family history of long QT syndrome 22. History of additional risk factors for torsades de pointes (TdP) (e.g., heart failure, hypokalemia) 23. Bundle branch block 24. Connective tissue/rheumatologic disorders 25. History of autoimmune disease 26. History of solid tumor, excluding non-melanoma skin or cervical carcinoma after curative resection, within the preceding 5 years 27. Uncontrolled diabetes 28. Prior allogeneic hematopoietic stem cell transplantation 29. Any other prior organ transplant 30. Psychiatric or addictive disorders that preclude obtaining reliable informed consent 31. Any other condition that, in the opinion of the investigator, renders the subject unsuitable for study participation