This study is for participants that have been diagnosed with previously untreated CD30 Negative Peripheral T-cell Lymphomas. The purpose of this study is to determine if the effects (good or bad) of adding a study drug (duvelisib or CC-486 (azacitidine)) to the usual combination of drugs. Participants can expect to be on treatment for 18 months and followed by the study team for up to 5 years after study completion.

This study is for subjects that have been diagnosed with peripheral T-cell lymphoma (PTCL) and have received at least one prior systemic therapy for their disease. This study is testing an "investigational" (not yet FDA approved drug) study drug called Lacutamab (IPH4102). The primary purpose of this study is to evaluate the safety and effectiveness of lacutamab. The subject may remain in the study until their disease progresses or they have developed unacceptable toxicity secondary to lacutamab and can expect to be in follow-up for 1 year if they discontinue treatment in the first year.

This study is for subjects that have been diagnosed with diffuse large B-cell lymphoma (DLBCL) that has come back or did not get better with your last treatment. The investigational drug in this study is brentuximab vedotin. The purpose of this study is to test if brentuximab vedotin, lenalidomide, and rituximab given together work to treat DLBCL and what the side effects are. Participants can expect to be in this study for up to 2.5 years.

This study is for adult male and females that have been diagnosed with mantle cell lymphoma. The drugs in this study include the combination of bendamustine, obinutuzumab and venetoclax (also called "BOV"). They are each approved for treatment, but is considered investigational (not approved by the FDA), when combined. The purpose of this study is to find out if BOV is effective and safe for the treatment of people with mantle cell lymphoma. Participants can expect to be in this study for approximately 51/2 years.

This study is for adult male and female subjects that have been diagnosed with classical Hodgkin lymphoma (cHL) or peripheral T cell lymphoma (PTCL). The investigational drug in this study is Brentuximab vedotin. The purpose of this study is to test if brentuximab vedotin works to treat cHL and PTCL in people who already got brentuximab vedotin. Participants in this study will visit MUSC at least every 21 days and will continue to be followed every 4 months, until the study is closed.

This study is for patients that have been diagnosed with chronic lymphocytic leukemia (CLL). The investigational drugs in this study are ibrutinib, obinutuzumab and venetoclax. The purpose of this study is to compare the usual treatment of ibrutinib and obinutuzumab to a combination treatment of ibrutinib and obinutuzumab plus the study drug, venetoclax.