Inclusion Criteria - GBM patients only (enrollment plan 1):

• Histologically confirmed glioblastoma multiforme (GBM) World Health Organization (WHO) grade III-IV with recurrent or progressive disease after standard therapy
• Age 16 years or older

Inclusion Criteria - DIPG patients only (enrollment plan 2 and 3):

• Diagnosis of diffuse intrinsic pontine glioma (DIPG) by magnetic resonance imaging (MRI). Because the safety of biopsy of DIPG has not been firmly established, biopsy will not be required for study enrollment.
• Completion of standard radiation therapy (not to exceed 5580 cGy) with a post radiation therapy (RT) MRI that shows no disease progression when compared with pre-RT MRI. All patients must be treated with Intensity Modulated Radiation Therapy (IMRT) or an equivalent conformal technique. The clinical target volume will be defined as the gross tumor volume (full extent of tumor visible on MRI) plus 1 cm margin. Patients from an outside institution who are referred after the start of radiation therapy may complete initial radiation therapy at their home institution as long as dosage guidelines are met and the total dose does not exceed 5580 cGy at the time of study registration.
• Able to begin vaccination 4 weeks (+ or - 1 week) of completion of standard radiation therapy
• Age 3 years and older Inclusion Criteria - all patients regardless of diagnosis
• Clinically stable and off or on low dose (no more than 0.1 mg/kg/day, maximum of 4 mg/day dexamethasone) corticosteroid for at least 1 week prior to study enrollment
• Lansky (0-15 years) or Karnofsky (16 years or older) performance score of ≥ 60

• Adequate organ function within 14 days of study registration including the following:

  • Adequate bone marrow reserve: absolute neutrophil (segmented and bands) count (ANC) ≥ 1.0 x 10^9/L, platelets ≥ 100 x 10^9/L; Hemoglobin ≥ 8 g/dL
  • Hepatic: - Total bilirubin ≤ 1.5 x upper limit of normal (ULN) for age and SGPT (ALT) ≤ 2.5 x upper limit of normal (ULN) for age
  • Renal: Normal serum creatinine for age or creatinine clearance >60 ml/min/1.73 m^2.
• Sexually active females of child bearing potential must agree to use adequate contraception (diaphragm, birth control pills, injections, intrauterine device [IUD], surgical sterilization, subcutaneous implants, or abstinence, etc.) for the duration of the vaccination period. Sexually active males must agree to use barrier contraceptive for the duration of the vaccination period.
• Voluntary written informed consent must be obtained from all patients (if of assent age) and their parents or legal guardians before performance of any study-related procedure not part of normal medical care, with the understanding that consent may be withdrawn by the subject at any time without prejudice to future medical care.

Exclusion Criteria - all patients:

• Pregnant or breast-feeding. Pregnancy testing will be performed on all menstruating females within 14 days prior to study enrollment.
• Uncontrolled intercurrent illness including, but not limited to ongoing or active infection, symptomatic congestive heart failure, unstable angina pectoris, or psychiatric illness/social situations that would limit compliance with study requirements
• Currently receiving any chemotherapy, investigational agents or registration on another therapy based trial or received chemotherapy with radiation therapy
• History of immune system abnormalities such as hyperimmunity (e.g., autoimmune diseases) and hypoimmunity (e.g., myelodysplastic disorders, marrow failures, AIDS, ongoing pregnancy, transplant immunosuppression)
• Any isolated laboratory abnormality suggestive of a serious autoimmune disease
• Any conditions that could potentially alter immune function (AIDS, multiple sclerosis, diabetes, renal failure)
• Receiving ongoing treatment with immunosuppressive drugs, excluding those patients requiring dexamethasone for treatment of tumor-related edema