To qualify for this study, patients must have very little to no residual tumor visible on a recent MRI. In addition to the vaccines, patients with newly diagnosed glioblastoma will receive standard temozolomide chemotherapy and radiation therapy. Patients with recurrent glioblastoma will not receive any treatment other than the vaccines as long as they are participating in this study, unless they were previously treated with bevacizumab, in which case they will be allowed to continue receiving bevacizumab.