• Disease: Must have histologically confirmed disease as defined by WHO 2016\[117\] of one of the following:

• Follicular Lymphoma, grade 1-3a

⁃ Relapsed or refractory disease after at least 2 lines of systemic therapy. Prior therapy must have included an anti-CD20 monoclonal antibody combined with systemic therapy (single-agent anti- CD20 antibody does not count as line of therapy for eligibility nor does local radiation). Anti-CD20 antibody is not required for participants with CD20 negative disease. A systemic therapy includes, but is not limited to: Bendamustine, CHOP, CVP, CART therapy, lenalidomide, or platinum-based chemotherapy.

⁃ Relapsed or progressive disease within 24 months of initiation of the initial course of chemotherapy (also known as progression of disease within 24 months POD24). Initial treatment must have included an anti-CD20 monoclonal antibody (unless CD20 negative) plus either Bendamustine, CHOP or CVP (R-Chemo). Must have completed 3 or more cycles of R-Chemo. Progression is measured from the initial day of treatment of the first cycle of R-Chemo. In the case of those who received anti-CD20 monoclonal antibody monotherapy previously and then received R-Chemo are also eligible if they are POD24, and progression is measured from the initial day of treatment of the first cycle of R-Chemo and not from the initial day of anti-CD20 monoclonal antibody monotherapy.

• Mantle Cell Lymphoma 1. Relapsed or refractory disease after at least 2 lines of systemic therapy. Prior therapy must have included an anti-CD20 monoclonal antibody combined with systemic therapy. Anti-CD20 antibody is not required for participants with CD20negative disease.

• 2\. Participants who have received an anti-CD20 monoclonal antibody in combination with chemotherapy AND a Bruton's Tyrosine Kinase inhibitor as a single line of therapy are also eligible.

• Hairy cell leukemia (HCL)

⁃ Diagnosis of HCL and require treatment as defined by having HCL-related anemia (hemoglobin \<11 g/dL), thrombocytopenia (platelets\<100 x 10\^9 /L), or neutropenia (absolute neutrophil count below 1.5 x 10\^9/L); symptomatic splenomegaly or adenopathy; or other constitutional symptoms directly related to HCL;

⁃ Must have progressed or been refractory to 2 lines of therapy including a purine nucleoside analog.

• Lymphoplasmacytic lymphoma (Waldenstrom macroglobulinemia (WM)) - participants must meet all eligibility criteria listed

• 1\. Must have confirmed diagnosis of WM based on Second International Workshop on WM 2. Relapsed or refractory disease after 2 or more lines of therapy

• 1\. Prior therapies must include a i. BTKi ii. either chemotherapy and/or proteasome inhibitor 3. Requires treatment based on the recommendations from the Second International Workshop on WM 4. Requires the presence of serum IgM that is at least 2 times the upper limit of normal 5. Patients cannot require plasmapheresis for symptomatic hyperviscosity. 6. Patients cannot have symptomatic central nervous system involvement (Bing-Neel syndrome) that would prevent the assessment of neurotoxicity 7. Patients cannot have transformed to large B cell lymphoma Burkitt lymphoma (BL)

• 1\. Relapsed or refractory to front line chemoimmunotherapy; Participants with high-grade B-cell lymphoma with MYC and BCL2 and/orBCL6 rearrangements will be excluded.

• Marginal zone lymphoma (MZL)

• 1\. Must have received 2 prior lines of therapy including rituximab in combination with chemotherapy or a BTKi

• Histologically confirmed Large B-cell lymphoma (LBCL) by WHO 2008 including:

• i. DLBCL not otherwise specified; DLBCL associated with chronic inflammation; Epstein Barr virus (EBV)+ DLBCL of the elderly; OR ii. primary mediastinal (thymic) large B cell lymphoma; OR iii. transformation of follicular lymphoma, marginal zone lymphoma or chronic lymphocytic leukemia/small lymphocytic lymphoma to DLBCL; OR iv. Follicular Lymphoma Grade 3B

• • Subjects with DLBCL, Follicular Lymphoma Grade 3B -or-

• Subjects with transformed FL and MZL who HAVE NOT received chemotherapy prior to transformation:

• 1\) Must have received an anthracycline regimen and an anti CD20 monoclonal antibody (unless documented CD20-negative) and be refractory or relapsed after second line of LBCL treatment. Subjects with a partial response to second line therapy must be ineligible for autologous transplant.

• Subjects with transformed FL and MZL who HAVE received anthracycline-containing chemotherapy prior to transformation must have progressed, had SD or recurred with transformed disease after initial treatment for LBCL:

∙ Must have progressed, had SD, or recurred with transformed disease after initial treatment for LBCL

∙ Note: T cell/histiocyte rich large B cell lymphoma is not eligible

∙ The following criteria apply to all participants unless otherwise noted:

• 2\. Measurable Disease:

‣ a. Participants with Follicular Lymphoma, Mantle Cell Lymphoma, Burkitt Lymphoma and Marginal Zone Lymphoma must have measurable disease according to the revised IWG Response Criteria for Malignant Lymphoma. Lesions that have been previously irradiated will be considered measurable only if progression has been documented following completion of radiation therapy.

∙ b. If participants with Follicular Lymphoma, Mantle Cell Lymphoma, Burkitt Lymphoma, Marginal Zone Lymphoma, and Large B cell Lymphoma that do not have measurable disease according to the revised IWG Response Criteria for Malignant Lymphoma, but have disease that is greater than 2% of events by flow cytometry in the peripheral blood or bone marrow will be eligible

‣ c. Participants with Hairy Cell Lymphoma must have presence of leukemic cells in the bone marrow or blood stream.

‣ d. Participants with Lymphoplasmacytic lymphoma must have the presence of serum IgM that is at least 2 times the upper limit of normal.

• 3\. CD22 expression, at any level: Participants must have archival tissue available for analysis of CD22 expression or must be willing to undergo biopsy of easily accessible disease.

• 4\. Participants who have progressed or relapsed after prior autologous OR allogeneic SCT must be at least 100 days post-transplant, have no evidence of GVHD, and have been without immunosuppressive drugs at least 30 days.

• 5\. Meet required prior therapy washout windows prior to leukapheresis (see inclusion criteria for leukapheresis for details).

• 6\. Participants with prior CAR therapy must be at least 30 days post CAR infusion and have \< 5% CD3+ cells express the previous CAR prior to apheresis, if a validated assay is available.

• 7\. Toxicities from prior therapy stable or resolved (except for clinically non-significant toxicity and cytopenias covered in footnote).

• 8\. Age ≥ 18 years of age. 9. Adequate performance status (ECOG 0, 1, or 2; or Karnofsky \> 60%) 10. Adequate organ and marrow function as defined by:

• \- ANC ≥ 750/uL

⁃ Platelet count ≥ 50,000/uL

⁃ ALC ≥ 150/uL

⁃ Adequate renal, hepatic, pulmonary and cardiac function defined as: Creatinine \< 2 mg/dL OR Creatinine clearance (as estimated by Cockcroft Gault Equation) ≥ 45 mL/min, Serum ALT or AST ≤ 10 x ULN (except in participants with liver involvement by lymphoma), Total bilirubin ≤ 1.5 mg/dl, except in participants with Gilbert's syndrome, Cardiac left ventricular ejection fraction ≥ 45%, no evidence of clinically significant pericardial effusion as determined by an Echocardiogram.

⁃ No clinically significant pleural effusion or ascites

⁃ Baseline oxygen saturation \> 92% on room air ANC Platelet ALC Cr CreatCl AST/ALT Bilirubin LVEF O2 Sat

⁃ 11\. Participants with CNS involvement or a history of CNS involvement are eligible only in the absence of neurologic symptoms that may mask or interfere with neurological assessment of toxicity 12. Females of childbearing potential must have negative pregnancy test. 13. Females of child-bearing potential and males of child-fathering potential must be willing to practice birth control from time of enrollment and for 4 months post preparative lymphodepletion regimen or as long as CAR cells are detectable.

‣ 14\. Must be able to provide informed consent (LAR is permitted if participant able to provide verbal assent).

• A participant will not be excluded because of pancytopenia ≥ Grade 3 if it is felt by the investigator to be due to underlying disease.