Donor Virus-Specific CMV or AdV CTL to Treat CMV or AdV Reactivation or Disease After Solid Organ or HCT

Inclusion Criteria: * Patients must have solid organ transplant or have received allogeneic hematopoietic stem cell transplant. * • Cohort A (CMV): Must have documented CMV disease or reactivation, as by: * Viremia as detected by quantitative polymerase chain reaction (PCR) (\> 500 IU/ml) in the peripheral blood requiring treatment OR * High risk for antiviral failure due to history of recurrent CMV reactivations or evidence of antiviral drug resistance, OR * Unable to tolerate antiviral drugs due to renal toxicity, bone marrow suppression, transfusion dependent anemia and thrombocytopenia or neutropenia requiring growth factor support or other related organ injury • Cohort B (AdV): Must have documented AdV infection or reactivation, as by: * Symptomatic subject with any detectable viral load in blood, OR * Symptomatic subject with qualitative AdV detection in compartment of current symptomatology, including stool, urine, and/or other specimens (bronchoalveolar lavage (BAL), nasal swab, CSF, etc.), irrespective of blood viral load, OR * New, persistent, and/or worsening AdV-related symptoms, signs, and/or markers of end organ compromise while receiving antiviral therapy (ie cidofovir), OR * Asymptomatic with a viral load \> 1000 copies/ml in peripheral blood, OR * Unable to tolerate antiviral treatment due to renal toxicity, bone marrow suppression, transfusion dependent anemia and thrombocytopenia or neutropenia requiring growth factor support or other…