T-Cell Therapy (EB103) in Adults With Relapsed/Refractory B-Cell Non-Hodgkin's Lymphoma (NHL)

Inclusion Criteria: * Age 18 years or older at the time of informed consent * Histologically confirmed R/R B-cell non-Hodgkin's lymphoma (NHL) * Adequate organ function * Relapsed or refractory (R/R) disease defined as ONE OR MORE of the following: * R/R after ≥ 2 lines of systemic therapy * For the following NHL types: Burkitt lymphoma, Precursor B-cell lymphoblastic lymphoma, or Mantle cell lymphoma: R/R after ≥ 1 lines of systemic therapy * Disease progression or recurrence ≤ 12 months after autologous hematopoietic stem cell transplantation (HSCT) * For subjects who are considered transplant-ineligible: progressive disease as best response after ≥ 4 cycles of first-line therapy and stable disease as best response after ≥ 2 cycles of second-line (salvage) therapy; subject must have received an anti-CD20 monoclonal antibody and an anthracycline as one of their qualifying regimens * All subjects must have received an appropriate chemoimmunotherapy regimen which at a minimum includes an: * Anti-CD20 monoclonal antibody AND * An anthracycline-containing chemotherapy regimen * Positron emission tomography (PET)-positive disease according to Cheson 2014 * Eastern Cooperative Oncology Group (ECOG) ≤ 2 * Toxicities due to prior therapy must be stable and recovered to Grade 1 or less Exclusion Criteria: * Prior CD19-targeted cellular therapy * History of Richter's transformation of chronic lymphocytic leukemia (CLL) * History of another primary malignancy that has not been in remission for ≥ 2 years. * History or presence of clinically relevant Central Nervous System (CNS) pathology * CNS disease which is progressing on most recent therapy or with a parenchymal mass which is likely to cause clinical symptoms * Subjects with active cardiac lymphoma involvement which is not responding to treatment * History of myocardial infarction, cardiac angioplasty and stenting, unstable angina, or other clinically significant cardiac disease within 6 months of informed consent * Active, uncontrolled systemic bacterial, fungal, or viral infection. Patients with HIV, hepatitis B, or hepatitis C are eligible provided their infection is being treated and the viral load is controlled. * History of autoimmune disease resulting in end organ injury or requiring systemic immunosuppression/systemic disease modifying agents within the last 2 years * History of severe, immediate hypersensitivity reaction to any agents used in this study, including the conditioning chemotherapeutic agents * Venous thrombosis or embolism not managed on a stable regimen of anticoagulation * Autologous HSCT within 3 months of informed consent * Subjects with a prior allogeneic transplant at least 6 months prior to study enrollment are eligible unless experienced graft-versus-host disease (GvHD) that requires ongoing treatment with systemic steroids or other systemic GvHD therapy, such as a calcineurin inhibitor, within 12 weeks of initial screening * Live vaccine within 3 months prior to planned start of conditioning regimen