Safety & Efficacy of Atorvastatin for Prophylaxis of Acute Graft Versus Host Disease in Patients With Hematological Malignancies HLA- Donor Hematopoietic Stem Cell Transplantation

Inclusion Criteria: Donor Eligibility Criteria * The donor must be at least 18 years of age, and willing/able to provide informed consent. Complete medication list will be reviewed for potential negative interaction with atorvastatin. * The donor must be an HLA-matched sibling or relative. * Syngeneic donors are not eligible. * Female donors of child-bearing potential should have a negative pregnancy test, and must not be breast feeding. * Bilirubin, AST and ALT must be \< 2 x normal; and absence of hepatic fibrosis/cirrhosis. * Adequate renal function as defined by a serum creatinine clearance of ≥ 40% of normal calculated by Cockcroft-Gault equation. * Adequate cardiac function with no history of congestive heart failure, uncontrolled atrial fibrillation or ventricular tachyarrhythmias. Patient Eligibility Criteria * Have hematologic malignancy requiring allogeneic HSCT, have adequate organ function, a serologic (or higher resolution) 6/6 class I human leukocyte antigen (HLA)-A and B and molecular class II DRB1 matched related donor, and are able to give informed consent. * Patients \> 18 and ≤ 65 years with comorbidity score ≤ 3 will be eligible for myeloablative conditioning (MAC), while patients \> 65 years of age, those with previous history of autologous transplantation, or high comorbidity index (\>3) will be eligible for reduced intensity conditioning (RIC) transplantation . * All patients must have at least one 6/6 HLA-matched sibling donor. * Patient must provide informed consent * Patients must have left ventricular ejection fraction \> 30%, no uncontrolled arrhythmias or New York Heart Association class III-IV heart failure. * Bilirubin must be \< 2 x normal; and absence of hepatic fibrosis/cirrhosis. * Aspartate aminotransferase (AST) and alanine aminotransferase (ALT) must be \<2 x normal; and absence of hepatic fibrosis/cirrhosis. * Serum creatinine clearance of ≥40% of normal calculated by Cockcroft-Gault equation. * Forced expiratory volume in one second (FEV1)and diffusion capacity; corrected for hemoglobin(DLCO) ≥ 50% and 40% of predicted respectively. * Karnofsky performance status \> 70. * A negative pregnancy test will be required for all women of child bearing potential. Breast feeding is not permitted. * No HIV infection. Patients with immune dysfunction are at a significantly higher risk of toxicities from intensive immunosuppressive therapies. * No evidence of active bacterial, viral or fungal infection at the time of transplant conditioning. * No active alcohol or substance abuse within 6 months of study entry. * Prior allogeneic transplant is acceptable. * No history of intolerance or allergic reactions with atorvastatin or other statins. * Patients who have previously been taking atorvastatin or any other statin will be eligible as long as there is no contraindication to switch to atorvastatin 40mg/day in the opinion of the treating physician. Exclusion Criteria: * Patients undergoing a T-cell depleted allogeneic transplantation will not be eligible. * Patients receiving another investigational drug are not eligible unless cleared by Principal Investigator. Patients with prior malignancies except resected basal cell carcinoma, treated carcinoma in-situ, or other hematologic diseases for which allogeneic HSCT is a treatment strategy, are not eligible. Cancer treated with curative intent \< 5 years previously will not be allowed unless approved by the Principal Investigator.