• Patients with hematological malignances with an expression of CD70 in the pre-enrollment tumor sample ≥ 10% measured by immunohistochemistry or flow cytometry.

• Patients must meet diseases specific eligibility criteria (see below)

• Patients at least 1 week from last cytotoxic chemotherapy at the time of starting lymphodepleting chemotherapy, except for Hydroxyurea which is allowed for peripheral blood count control in AML, CML, and MDS patients until the day prior to administration of lymphodepleting chemotherapy. Patients may continue tyrosine kinase inhibitors or other targeted therapies until up to three days prior to administration of lymphodepleting chemotherapy.

• Localized radiotherapy to one or more disease sites is allowed prior the infusion provided that there are additional disease sites that are not irradiated to assess response

• Karnofsky Performance Scale \> 50% for patients who are \>16 years old or Lansky score ≥50% for patients who are ≤16 years of age.

• Adequate organ function:

∙ Renal: Serum creatinine \</= 2x ULN or estimated Glomerular Filtration Rate \>/= 30 ml/min/1.73 m2

‣ Hepatic: ALT/AST \</= 3 x ULN or \</= 5 x ULN if documented liver metastases, Total bilirubin \</2xULN, except in subjects with Gilbert's Syndrome in whom total bilirubin must be \</= 3 x.ULN. No history of liver cirrhosis. No ascites.

‣ Cardiac: Cardiac ejection fraction \>/= 40%, no clinically significant pericardial effusion as determined by an ECHO, and no uncontrolled arrhythmias or symptomatic cardiac disease.

‣ Pulmonary: No clinically significant pleural effusion (per PI discretion), baseline oxygen saturation \> 92% on room air and adequate pulmonary function with FEV1, FVC and DLCO (corrected for Hgb) \>50%.

• Able to provide written informed consent.

• 12-80 years of age.

• Weight ≥40 kg

⁃ All participants who are able to have children must practice effective birth control while on study and up to 3 months post completion of study therapy. Acceptable forms of birth control for female patients include: hormonal birth control, intrauterine device, diaphragm with spermicide, condom with spermicide, or abstinence, for the length of the study. If the participant is a female and becomes pregnant or suspects pregnancy, she must immediately notify her doctor. If the participant becomes pregnant during this study, she will be taken off this study. Men who are able to have children must use effective birth control while on the study. If the male participant fathers a child or suspects that he has fathered a child while on the study, he must immediately notify his doctor.

⁃ Signed consent to long-term follow-up protocol PA17-0483 to fulfill the institutional responsibilities to various regulatory agencies.

⁃ Are willing and able to provide informed consent, as appropriate (either directly or through a legally authorized representative \[LAR\])