Immune Checkpoint Inhibitor Nivolumab in People With Recurrent Select Rare CNS Cancers

Background: * There are more than 130 identified primary tumors of the central nervous system (CNS). Most have an annual incidence of less than 1000 in the United States. * Given the rarity of each of the tumors listed above, there is a paucity of proven therapies. Most of these neoplasms are treated with maximum surgical resection followed by treatment with external beam radiotherapy. With few exceptions (medulloblastoma, adult ependymoma), there are no effective systemic regimens and even in chemotherapy sensitive disease, most patients with recurrence eventually have no remaining salvage treatments available. * In the setting of this unmet need, we propose to create a basket protocol that will evaluate the efficacy of the programmed cell death protein 1 (PD-1) inhibitor, nivolumab, in patients with refractory rare central nervous system neoplasms. * This study seeks to establish effective therapies at recurrence in patients with rare CNS tumors. We hypothesize that this therapy will improve progression free survival and/or objective responses. * It will be important to determine whether any determined survival benefit is associated with improvements in symptoms or does a worsening of symptoms offset the increase in survival. Precedence exists for measuring non-therapeutic endpoints in oncology research, and specifically in studies evaluating therapeutic benefit in patients with CNS tumors. There have been efforts in neuro-oncology to evaluate secondary endpoints using validated instruments as an additional indicator of benefit. The M.D. Anderson Symptom Inventory-Brain Tumor Module (MDASI-BT) and Spine Tumor Module (MDASI-SP) allow for the self-reporting of symptom severity and interference with daily activities for patients with either brain or spinal cord tumors. The availability of validated instruments provides an opportunity to prospectively assess the impact of treatment, both positive and negative on patients. Objective: Determine the efficacy of nivolumab in a variety of recurrent, refractory primary central nervous system tumors as measured by disease control rate (confirmed complete response (CR)/partial response (PR) or durable stable disease (SD) for at least 6 months). Eligibility: * Documented recurrent or progressive disease that corresponds to one of the tumors eligible for testing. * Age \>= 18 years of age. * Karnofsky Performance \>= 70%. * Tumor tissue available for central review to confirm morphologic diagnosis * Tumor tissue or slides must be available for central molecular and immune profiling. Design: * This is an open label phase II clinical trial. Patients will be treated with the immune checkpoint inhibitor, nivolumab, at a standard dose of 240 mg intravenously every 2 weeks (+/- 3 days) for cycles 1 through 2, then doses of 480 mg every 4 weeks (+/- 3 days) for a total of 14 additional doses (cycles). A maximum of 18 treatments will be given (64 weeks). * A cycle will be defined as 4 weeks and patients will undergo efficacy assessments using MR imaging (and/or other imaging tests if applicable) every 2 cycles. Toxicity assessments will occur before the initiation of each cycle and patient outcomes measures (PROs) will be completed at the time of each imaging study (every 2 cycles) but prior to the patient being informed of the imaging results. * After completion of the planned treatment course or if treatment was stopped because of toxicity, patients will undergo imaging evaluations and PRO measurements every 8 weeks (or 2 months) for one year, then every 3 months for the next year, then every 4 months for the next year and then every 6 months while the patient remains on the protocol. Patients off treatment because of disease progression will not undergo future imaging or PRO assessments on this protocol. * Bayesian Optimal Phase 2 design (BOP2), will be used to conduct this phase II trial in patients with a variety of recurrent, refractory primary central nervous system tumors. * The study will be comprised of 2 disease cohorts: heavily pretreated (defined as having received 3 or more prior therapies) and non-heavily pretreated (defined as having received up to 2 prior therapies). Each cohort will be evaluated independently for efficacy.