• ≥18 years of age

• Eastern Cooperative Oncology Group (ECOG) performance status of 0-1 (ECOG status of 2 will be permitted for subjects with AML)

• Diagnosed with r/r T Cell Lymphoma (TCL), B Cell Lymphoma (BCL), or Acute Myeloid Leukemia (AML) T cell lymphoma, including Stage ≥IIB Mycosis fungoides (MF)/ Sézary syndrome (SS) after at least 2 prior systemic therapies Peripheral T cell lymphoma (PTCL) after at least 1 prior line of therapy (PTCL-note otherwise specified (NOS), PTCL-T follicular helper (TFH), Angioimmunoblastic T cell lymphoma (AITL), Adult T cell leukemia/lymphoma (ATLL) of leukemic, lymphomatous, and chronic unfavorable subtypes), (ALK)- ALCL after at least 1 prior line of therapy, ALK+ Anaplastic large cell lymphoma (ALCL) after at least 2 prior lines of therapy

• B cell lymphoma, including Diffuse large B cell lymphoma (DLBCL)-NOS, transformed marginal zone lymphoma(MZL), transformed FL, high-grade BCL with MYC and BCL2 and/or BCL6 rearrangements, Follicular lymphoma (FL) grade 3b, after at least 2 prior lines of therapy including an anti- CD20 monoclonal antibody and an anthracycline containing regimen Mantle cell lymphoma (MCL) after up to 5 prior lines of therapy which must include an anthracycline- or bendamustine-containing regimen, an anti- CD20 monoclonal antibody, and a BTK inhibitor

• Acute myeloid leukemia or AML/MDS per ELN criteria 2022 after at least 1 prior line of AML therapy. APL, BCR-ABL positive leukemia, and AML secondary to prior therapy or history of genetic syndrome associated with BM failure are excluded.

• Adequate renal, liver, cardiac and pulmonary organ function

• Females of childbearing potential and male subjects must agree to use an acceptable, highly effective method of contraception (as specified in the protocol) from enrollment through at least 12 months after last CTX131 infusion