I. Determine whether treatment with ruxolitinib in combination with conventional neoadjuvant and post-surgical chemotherapy is safe and tolerable in the primary therapy for epithelial ovarian, fallopian tube, or primary peritoneal carcinoma. (Phase I) II. Demonstrate whether treatment with ruxolitinib in combination with conventional neoadjuvant and post-surgical chemotherapy results in a prolonged progression-free survival when compared to chemotherapy alone, in primary therapy for epithelial ovarian, fallopian tube, or primary peritoneal carcinoma. (Phase II)