Inclusion Criteria:

1. Relapsed/refractory (R/R) previously treated B cell malignancies.
2. Prior treatment must include at least 2 prior regimens, including anti CD20 antibody therapies. Prior Treatment with CD19 CAR T may be considered.
3. Documented measurable disease as defined by Lugano 2014
4. Male or female ≥ 18 years of age
5. Eastern Cooperative Oncology Group (ECOG) Performance Status (PS) of 0 or 1
6. Adequate hematological, renal, pulmonary, cardiac, and liver function
7. Female patients who are not pregnant or breastfeeding
8. Female patients of childbearing potential and all male patients must agree to use highly effective methods of birth control for the duration of the study.

Exclusion Criteria:

1. Current or history of any of the following conditions:

1. Central nervous system (CNS) primary lymphoma (current or history)
2. Unrelated malignancy requiring systemic treatment (current or history \[in the past 3 years, other than hormonal treatment which is allowed\])
2. Any of the following current conditions:

1. Active acute or chronic graft versus host disease (GvHD) other than grade 1 with skin involvement, or GvHD requiring immunosuppressive treatment within 4 weeks of enrollment
2. Any other acute or chronic medical or psychiatric condition that may increase the risk associated with study participation or investigational product administration
3. Tumor mass effects such as bowel obstruction or blood vessel compression that require therapy
4. Opportunistic infections
3. History of any clinically significant conditions in the opinion of the Investigator
4. Prior treatment with any of the following:

a Gene therapy, genetically modified cell therapy, or adoptive T cell therapy within 6 weeks of study enrollment.

b Radiation therapy within 4 weeks prior to study entry. Palliative local radiation may be allowed within 1 week prior to study entry.

c Autologous stem cell transplant (SCT) within 6 weeks of planned ADI 001 infusion.

d Allogeneic transplant and donor lymphocyte infusion within 3 months of planned CAR T cell infusion
5. Patients unwilling to participate in an extended safety monitoring period (long term follow up \[LTFU\] protocol)