Safety, PK, PD, Clinical Activity of KT-333 in Adult Patients With Refractory Lymphoma, Large Granular Lymphocytic Leukemia, Solid Tumors

Inclusion Criteria: 1. Phase 1a Only: Cytologically or pathologically confirmed Lymphomas (including Hodgkin's, B-cell, T-cell, Small Lymphocytic, or Natural-Killer (NK)-cell Lymphomas and LGL-L), T-PLL and solid tumors with the exception of chronic lymphocytic leukemia (CLL) Note: Patients with indolent non-Hodgkin's lymphoma (NHL) and small lymphocytic lymphoma (SLL) are only eligible if not require immediate cytoreductive therapy or if there are no available treatments with potential benefit. 2. Phase 1b Only: Histologically or pathologically confirmed PTCL, CTCL, LGL-L \[T-cell LGL-L or Chronic Lymphoproliferative Disorder of NK-cells (CLPD-NK)\], or solid tumors. 3. Fresh or archival formalin fixed paraffin embedded (FFPE) tumor tissue or 15 slides preferably collected within 6 months or 2 years prior to first dose of the study drug (for lymphoma and solid tumor patients respectively). 4. Phase 1a only: Lymphoma and Solid Tumor: Relapsed and/or refractory disease to at least 2 prior systemic standard of care treatments or for whom standard therapies are not available. 5. Phase 1a: LGL-L/T-PLL only: Relapsed and/or refractory disease to at least 1 prior systemic standard of care treatment or for whom standard therapies are not available. 6. Phase 1b only: All disease types: Relapsed and/or refractory disease to at least 1 prior systemic standard of care treatments or for whom standard therapies are not available. 7. LGL-L patients only (hematology specific criteria): * One of the following: * Severe neutropenia \< 500/mm3, or, * Symptomatic anemia and/or, * Transfusion-dependent anemia. * ANC ≥ 200/μL at Screening and C1D1 (pre dose) * Platelet count ≥ 100,000/μL (assessed ≥ 7 days following last platelet transfusion in patients with thrombocytopenia requiring platelets). 8. LGL-L Patients Only (baseline disease characteristics): * CD3+CD8+ cell population \>650/mm3; * CD3+CD8+CD57+ population \>500/mm3; * Presence of a clonal T-cell receptor (within 1 month of diagnosis); * Note: patients with T-LGLL may be included with PI approval even if CD3+CD8+ cell population is\<650/mm3 or CD3+CD8+CD57+ population is \<500/mm3, though +TCR is required; * NK LGL is also permitted, provided there is a clonal NK-cell population noted with\>500 cells/mm3 9. PTCL and solid tumors Only: Measurable disease at Screening. Solid tumor patients with non-measurable disease are allowed in Phase1a 10. T-PLL: Measurable disease per Lugano and/or atypical T lymphocytes quantifiable by flow cytometry or morphology in the peripheral blood or bone marrow. 11. Eastern Cooperative Oncology Group (ECOG) performance status of 0-2 at Screening and C1D1 (pre-dose). 12. Adequate bone marrow function at Screening and C1D1 (pre-dose) for all patients except those with LGL-L Adequate liver/kidney organ function at Screening and C1D1 (pre-dose) for all patients. 13. Women of childbearing potential (WOCBP) must agree to use highly effective contraceptive methods for the duration of study treatment and 6 months after the last dose of KT333. Exclusion Criteria: 1. Known active uncontrolled or symptomatic central nervous system (CNS) metastases, carcinomatous meningitis, or leptomeningeal disease as indicated by clinical symptoms, cerebral edema, and/or progressive growth. Note: Patients with solid tumors are eligible if their CNS metastases or cord compression have been treated (e.g., radiotherapy, stereotactic surgery) and they are clinically stable, off steroids for at least 4 weeks before first dose of study drug and have no evidence of progression at time of study enrollment. Note: Patients with lymphomas are eligible if their CNS metastases or cord compression have been treated effectively (i.e. achieved CR) and there is no clinical or radiographic evidence of active lymphoma. 2. Diagnosis of Chronic Lymphocytic Leukemia (CLL). 3. History of or active concurrent malignancy other than lymphoma or solid tumors unless the patient has been disease-free for ≥ 2 years. 4. Patient has not recovered from any clinically significant adverse events (AEs) of previous treatments to pretreatment baseline or Grade 1 prior to first dose of study drug. 5. Ongoing unstable cardiovascular function. 6. Autologous hematopoietic stem cell transplant less than 3 months prior to first dose of study drug. 7. Prior allogenic hematopoietic or bone marrow transplant.