This is a phase II study in patients with recurrent platinum resistant or refractory C5 high-grade serous, endometrioid or undifferentiated ovarian, primary peritoneal or fallopian tube cancer. All patients with high-grade serous, endometrioid or undifferentiated primary peritoneum, fallopian tube or ovarian cancer will be eligible to be screened for this trial and will be required to sign a pre-screening consent form.