Adenocarcinoma of the esophagus and the gastroesophageal junction (GE junction) is the ninth most common cancer worldwide. Ramucirumab (Cyramza®), a monoclonal antibody, is approved as a single agent and in combination with paclitaxel as a treatment for patients with metastatic gastric or GE junction adenocarcinoma whose cancer has progressed after prior chemotherapy. Nab-paclitaxel (Abraxane®) is an albumin-based formulation of paclitaxel which was developed to improve the therapeutic index and reduce toxicity. Nab-paclitaxel is approved in over 40 countries/regions for treatment of various metastatic cancers including breast cancer, non-small cell lung cancer (NSCLC), and pancreatic cancer. In this Phase II study, the investigators propose to combine the less toxic nab-paclitaxel to increase tumor uptake of the drug and improve efficacy while minimizing side effects. The biological rationale of using this combination is that ramucirumab will inhibit tumor angiogenesis and nab-paclitaxel will induce apoptosis of the rapidly dividing tumor cell.