Patients who have received >= days of prior ibrutinib or any prior treatment with another Bruton tyrosine kinase (BTK) inhibitor are not eligible Prior therapy must include a BTK inhibitor in diseases for which approved therapy includes a BTK inhibitor (i.e., SLL/CLL, WM, and mantle cell lymphoma). Subjects with DLBCL must have failed, refused, or be ineligible for autologous stem cell transplant. Subjects with low grade lymphoma must be progressing and requiring treatment. Subjects who were intolerant to a BTK inhibitor Prior exposure to a BTK or BCL- inhibitor Previous therapy with Bruton's tyrosine kinase (BTK) inhibition No history of prior BTK-inhibitor-containing therapy. Prior therapy with ibrutinib or other BTK inhibitors Has previously received a btk inhibitor and had progressive disease during therapy; patients who have previously discontinued btk inhibitor therapy because of intolerance may be considered for eligibility per the assessment of the PI and treating physician if there is reason that the patient may better tolerate btk inhibitor therapy at enrollment versus previously Has progressed on prior therapy with ibrutinib or other BTK inhibitors Prior BTK inhibitor treatment. Prior exposure to ibrutinib or to a BCR inhibitor (eg Btk or PI kinase or Syk inhibitors) or a BCL- inhibitor (eg venetoclax) Prior exposure to a Bruton agammaglobulinemia tyrosine-protein kinase (BTK) inhibitor Patients who have been previously treated with ibrutinib (or any Brutons tyrosine kinase inhibitor) are eligible for the ibrutinib pre-treated cohort as long as prior ibrutinib or BTK inhibitor therapy was not discontinued due to toxicity/adverse event; there is no minimum dose of ibrutinib; any prior administration will disqualify patients for the ibrutinib-nave cohort and will require enrollment on the ibrutinib pre-treated cohort Previous treatment with another Bruton's Tyrosine Kinase (BTK) -inhibitor. Prior exposure to a Bruton's tyrosine kinase (BTK) inhibitor Arm B only: ibrutinib or other Bruton's tyrosine kinase (BTK) inhibitor; Patients who have previously received ibrutinib or another inhibitor of Bruton's tyrosine kinase (BTK) Prior exposure to a BTK inhibitor Prior use of ibrutinib or other BTK inhibitors, rituximab or lenalidomide Known cysteine- Bruton's tyrosine kinase (BTK) mutation or CLL refractory to or progressed during ibrutinib or other cysteine (Cys)- binding BTK inhibitor treatment Previous therapy with ibrutinib, or any drug that specifically inhibits Bruton's tyrosine kinase (BTK) Prior exposure to ibrutinib or other BTK inhibitors. No prior chemotherapy, Bruton's tyrosine kinase (BTK) inhibitor therapy, or monoclonal anti-body therapy for treatment of CLL or SLL Relapsed after, or refractory to, prior BTK inhibitor therapy. Previous treatment with a PIK inhibitor or BTK inhibitor have BTK or PLCgamma mutations per local laboratory assessment, with or without progression on ibrutinib Prior therapy with Bruton's tyrosine kinase (BTK) inhibitor Previous treatment with a PIK inhibitor or BTK inhibitor. Has diagnosis and prior treatment for each non-hodgkin's lymphoma (NHL) subtype as defined below: Mantle cell lymphoma (MCL): pathologically verified diagnosis of MCL based on local pathology report, relapsed or refractory disease after at least prior lines of therapy, including at least cycle of Bruton's tyrosine kinase (BTK) inhibitor therapy and documented progressive disease (PD) during or after BTK inhibitor treatment or participants who could not tolerate BTK inhibitor [ie, discontinued BTK inhibitor due to adverse events (AEs)], b) Diffuse large B cell lymphoma (DLBCL): pathologically confirmed diagnosis of non-transformed DLBCL, and relapsed or refractory disease; for those participants who have not received HDT/ASCT are not eligible for HDT/ASCT due to comorbidities, c) Follicular lymphoma (FL): pathologically confirmed diagnosis of FL of Grade , , or a according to World Health Organization (WHO) criteria without pathological evidence of transformation, and relapsed disease after at least two prior systemic therapies including one anti-CD containing combination regimen Prior treatment with a BTK inhibitor. Must have relapsed/refractory disease after receiving or more lines of therapy, including a Bruton tyrosine kinase (BTK) inhibitor (eg ibrutinib) if approved by the local health authority and commercially accessible. All Arms: Prior treatment with a PIK inhibitor or BTK inhibitor Subject must have received at least one BCR PI (ibrutinib, idelalisib, or other approved BTK or PIK inhibitor) and/or venetoclax; Has, at the initiation of study drug, received cytotoxic chemotherapy or a Bruton's tyrosine kinase (BTK)-inhibitor (e.g. ibrutinib) within the past weeks or rituximab within the past months Prior exposure to bruton tyrosine kinase (BTK) inhibitor Prior treatment with a Bruton's tyrosine kinase (BTK) inhibitor Concurrent enrollment in another therapeutic investigational study or prior therapy with ibrutinib or other BTK inhibitors Discontinuation on prior BTK inhibitor or PIK delta inhibitor due to adverse events within prior months Progression on prior BTK or PIK delta inhibitor