Neodjuvant Nivolumab and Lirilumab, Followed by Surgery, Followed by Adjuvant Nivolumab and Lirilumab, in SCCHN

This research study is a Phase II clinical trial. Phase II clinical trials test the safety and effectiveness of an investigational drug or combination of drugs to learn whether it works in treating a specific disease. "Investigational" means that the drug/s is being studied. The purpose of this study is to evaluate effectiveness (how well the drug/s work) of nivolumab in combination with lirilumab in participants with SCCHN. Nivolumab and lirilumab are types of immunotherapy. Immunotherapy works by encouraging the body's own immune system to attack cancer cells. Both nivolumab and lirilumab have been demonstrated to activate the immune system to attack cancer cells in participants with different types of cancers. In November, 2016, the Food and Drug Administration (FDA) approved nivolumab for the treatment of participants with recurrent or metastatic squamous cell carcinoma of the head and neck (SCCHN). Lirilumab is not FDA approved as of now.