This study is for patients that have been diagnosed with untreated mantle cell lymphoma (MCL). The investigational drug is Acalabrutinib. Acalabrutinib is investigational for treating newly diagnosed MCL. The purpose of this study is to compare the usual treatment of 1) bendamustine, rituximab, and high dose cytarabine to using 2) bendamustine, rituximab, high dose cytarabine, and acalabrutinib and 3) bendamustine, rituximab, and acalabrutinib. Participants can expect to be on study for a total of 6 months of treatment and followed by the study team for up to 10 years or until disease progression.

This study is for patients who have been diagnosed with relapsed (the disease has gotten worse after a period of improvement) or refractory (the disease does not respond to treatment) Epstein-Barr Virus-Positive (EBV+) lymphomas.

The investigational drug in this study is Nanatinostat. Investigational means it is not approved by the United States' Food and Drug Administration (US FDA). Nanatinostat is a tablet that will be taken by mouth once a day.

The purpose of this research study is to determine the effectiveness and safety of the combination therapy, nanatinostat and valganciclovir, on treating lymphoma cancers. Valganciclovir is an approved anti-viral drug (a drug that fights against virus in your body), which has been used in the prevention and treatment of infection caused by a virus called cytomegalovirus (CMV), which is similar to Epstein-Barr virus (EBV). The safety and effectiveness of nanatinostat on its own will also be reviewed in a small subset of patients.

Participants can expect to receive treatment until disease progression, unacceptable toxicity/ side effects, or participants withdraw. Participants can expect to be in follow up for up to 5 years.

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.