Study of Ixazomib to Prevent Recurrent or Late Acute and Chronic Graft-versus-Host Disease 1-year After Allogeneic Hematopoietic Stem Cell Transplantation in Patients With Hematologic Malignancies

Inclusion Criteria: * Patients 18 years or older. * Diagnosis: myeloid or lymphoid hematologic malignancy treated with a RI or NMA conditioning HSCT who received calcineurin inhibitor based drug (for example: tacrolimus or cyclosporin) and methotrexate as part of their initial GVHD prophylaxis. Patients who received sirolimus as part of their GVHD prophylaxis will be eligible. * Recipients of 8-7/8 HLA-matched donor. Post-HSCT period within day +100 to day +150. * Female patients who: * Are postmenopausal for at least 1 year before the screening visit, OR * Are surgically sterile, OR * If they are of childbearing potential, agree to practice 2 effective methods of contraception, at the same time, from the time of signing the informed consent form through 90 days after the last dose of study drug, OR * Agree to practice true abstinence when this is in line with the preferred and usual lifestyle of the subject (periodic abstinence and withdrawal are not acceptable methods of contraception). * Male patients, even if surgically sterilized (i.e. Status post-vasectomy) must agree to one of the following: * Agree to practice effective barrier contraception during the entire study treatment period and through 90 days after the last dose of study drug, OR * Agree to practice true abstinence when this is in line with the preferred and usual lifestyle of the subject (periodic abstinence and withdrawal are not acceptable methods of contraception). * Organ Function and Performance Status Criteria: * Karnofsky score ≥ 70 % * Absolute neutrophil count (ANC) ≥ 1000/mm3 and platelet count ≥ 75,000/mm3. Platelet transfusions to help patients meet eligibility criteria are not allowed within 3 days before study enrollment. * Calculated creatinine clearance ≥ 30 mL/min (based on the Cockcroft and Gault method) * Total bilirubin ≤ 1.5 x upper limit of normal range (ULN). * AST/ALT ≤ 3 x ULN (unless benign congenital hyperbilirubinemia). * Hemoglobin \> 8.0 g/dL. Red blood cell transfusions to help patients meet eligibility criteria are not allowed within 3 days before study enrollment. Exclusion Criteria: * Disease: evidence of progressive disease at the time of study enrollment. * Prior Therapy: one or more prior allogeneic stem cell transplantation (prior autologous transplant is acceptable). * Active acute or chronic GVHD. * Active and uncontrolled infection. * Pregnant or breast feeding. * Major surgery within 14 days before enrollment. * Evidence of current uncontrolled cardiovascular conditions, including uncontrolled hypertension, uncontrolled cardiac arrhythmias, symptomatic congestive heart failure, unstable angina, or myocardial infarction within the past 6 months. * Systemic treatment, within 14 days before the first dose of ixazomib, with strong inhibitors of CYP1A2 (fluvoxamine, enoxacin, ciprofloxacin), strong inhibitors of CYP3A (clarithromycin, telithromycin, itraconazole, voriconazole, ketoconazole, nefazodone, posaconazole) or strong CYP3A inducers (rifampin, rifapentine, rifabutin, carbamazepine, phenytoin, phenobarbital), or use of Ginkgo biloba or St. John's wort. * Any serious medical or psychiatric illness that could, in the investigator's opinion, potentially interfere with the completion of treatment according to this protocol. * Patient or guardian unable to give informed consent or unable to comply with the treatment protocol including appropriate supportive care, follow-up and research tests. * Patients with known allergy to boron or boron-containing products, or excipients in the various formulations of any agent. * Known GI disease or GI procedure that could interfere with the oral absorption or tolerance of ixazomib including difficulty swallowing. * Diagnosed or treated for another malignancy within 2 years before study enrollment or previously diagnosed with another malignancy and have any evidence of residual disease. Patients with nonmelanoma skin cancer or carcinoma in situ of any type are not excluded if they have undergone complete resection. * Patient with ≥ Grade 3 peripheral neuropathy, or Grade 2 with pain on clinical examination during the screening period. * Received post-transplant cyclophosphamide