A Phase I Study of WT1 or NY-ESO-1 Vaccine and Nivolumab For Recurrent Ovarian Cancer

Inclusion Criteria: * Pathologic diagnosis of ovarian, fallopian tube or primary peritoneal cancer confirmed by pathology review at MSK. * Patients will have relapsed at least once and returned to complete clinical remission after additional chemotherapy. Interval surgery is permitted. * Complete clinical remission is defined as CA-125 within normal limits, examination and CT or MRI without objective evidence of disease (non specific abnormalities are permitted on radiologic imaging). * Patients may sign screening consent during recurrence or at time of remission if they can start vaccine therapy within 4 months of completing chemotherapy. * Testing of patient's archived (paraffin embedded, unstained slides) or freshly biopsied tumor nodules must be positive for WT1 (Cohort 1) or NY-ESO-1 (Cohort 2) protein expression. WT1 expression: Immunohistochemical analysis will be performed using the technique described by Dupont et al \[58\]. WT1 expression will be graded according to an adaptation of the German Immunoreactive Score (IRS). Only tumors with moderate to strong IRS scores (4-12) will be considered WT1 positive. * NY-ESO-1 expression: Tissue available from primary and/or recurrent disease will be evaluated for tumor expression of NY-ESO-1 by immunohistochemical (IHC) and/or RT-PCR analysis will be performed using the technique described by Jungbluth et al * Age ≥ 18 years * Karnofsky performance status ≥ 70% * Hematologic parameters: Absolute neutrophil count ≥ 1000/mcL, Platelets \> 50 K/mcL. * Biochemical parameters: Total bilirubin ≤ 1.5 mg/dl, AST and ALT ≤ 2.5 x upper limits of normal, Creatinine ≤ 1.5 mg/dl. * Patient of childbearing potential must have a negative serum pregnancy test prior to study entry and must be practicing and effective form of birth control Exclusion Criteria: * Pregnant or lactating women * Patients with active infection requiring systemic antibiotics, antiviral, or antifungal treatments * Patients with a serious unstable medical illness or another active cancer. * Patients with a condition requiring systemic treatment with either corticosteroids (\>10mg daily prednisone equivalents) or other immunosuppressive medications within 14 days of study drug administration. Inhaled or topical steroids and adrenal replacement doses \>10mg daily prednisone equivalents are permitted in the absence of active autoimmune disease. * Patients with known history of testing positive for human immunodeficiency virus (HIV) or known acquired immunodeficiency syndrome (AIDS). * Patients with known active hepatitis B virus or hepatitis C virus acute or chronic infection. * Patients with active known or suspected autoimmune disease (treated hypothyroidism is permitted to enroll) * Patients with active interstitial pneumonitis.