 All Subjects will receive AGS-8M4 treatment. Subjects will be enrolled sequentially into 1 of the 4 planned dose cohorts according to a standard dose escalation study design. A disease assessment will be performed at study week 9 - 3 days. The assessment will be based on clinical signs and symptoms, changes in radiographic images, and changes in CA-125 levels. Subjects without evidence of disease progression may continue to receive AGS-8M4 during the extended treatment period at the dose and schedule of their assigned cohort until disease progression intolerability of AGS-8M4 or consent withdrawal. For subjects that continue dosing, disease assessments will be performed every 8 weeks during the extended treatment period. A safety follow-up visit will occur 4 weeks after the last infusion of AGS-8M4. 