Niraparib and Copanlisib in Treating Patients With Recurrent Endometrial, Ovarian, Primary Peritoneal, or Fallopian Tube Cancer

Inclusion Criteria: * Any histologically confirmed recurrent endometrial adenocarcinoma (except for carcinosarcoma), recurrent high-grade serous ovarian/primary peritoneal/fallopian tube carcinoma, or deleterious BRCA mutant recurrent ovarian/primary peritoneal/fallopian tube cancer for whom no curative option is available will be eligible. DOSE ESCALATION ONLY: For patients with ovarian cancer in the dose escalation cohort, only patients with recurrent, platinum resistant disease are eligible to enroll on study. Platinum resistance is defined as progression within 6 months from completion of platinum based therapy (the date should be calculated from the last administered dose of platinum therapy). In addition, patients in this cohort with a BRCA mutation must have also progressed after treatment with PARP inhibitor. * Patients may have unlimited prior chemotherapeutic regimens for management of recurrent endometrial or ovarian carcinoma. Patients who have received prior PARP inhibitors ARE allowed to participate. Patients who have received prior PI3K-pathway inhibitors ARE allowed to participate on the dose escalation phase ONLY. Patients may have progressed on prior PARP inhibitor and/or PI3K-pathway inhibitor but they may not have discontinued drug for toxicity. * With the exception of alopecia, peripheral neuropathy, and bone marrow parameters, any unresolved toxicities from prior chemotherapy should be no greater than Common Terminology Criteria for Adverse Events (CTCA…