This research study is evaluating a new type of melanoma vaccine called "Personalized NeoAntigen Cancer Vaccine". The purpose of this study is to determine if it is possible to make and administer safely a vaccine against melanoma by using information gained from specific characteristics of the participant's own melanoma. It is known that melanomas have mutations (changes in genetic material) that are specific to an individual patient and tumor. These mutations can cause the tumor cells to produce proteins that appear very different from the body's own cells. It is possible that these proteins used in a vaccine may induce strong immune responses, which may help the participant's body fight any tumor cells that could cause the melanoma to come back in the future. The study will examine the safety of the vaccine when given at several different time points and will examine the participant's blood cells for signs that the vaccine induced an immune response.