Effects of Vaccinations With HLA-A2-Restricted Glioma Antigen-Peptides in Combination With Poly-ICLC for Adults With High-Risk WHO Grade II Astrocytomas and Oligo-Astrocytomas

Inclusion Criteria: * Participants must have documented pathological diagnosis of a WHO grade II astrocytoma or oligoastrocytoma or oligodendroglioma (see also the 4th bullet for oligodendroglioma). * HLA-A2 positive based on flow cytometry. * There will be 2 cohorts of patients based on whether patients have received prior RT. Cohort 1: patients must have undergone surgery or biopsy alone ≤16 weeks prior to study entry (no postoperative radiation or chemotherapy). Cohort 2: Patients received surgery or biopsy and radiation therapy (RT) (including fractionated external beam radiation therapy and/or stereotactic radiosurgery), which was completed ≥6 months prior to enrollment, and have a baseline MRI scan (within 4 weeks of the first vaccine) that shows stable disease or regression. * For oligodendroglioma, at least one of the following three conditions has to be met: 1) age ≥ 40 with any extent resection; 2) age 18-39 with incomplete resection (post-op MRI showing \> 1cm residual disease, based on the maximum dimension of residual T2 or FLAIR abnormality from the edge of the surgical cavity either laterally, antero-posteriorly, or supero-inferiorly) or 3) age 18-39 with neurosurgeon-defined GTR but the tumor size is ≥ 4 cm (the maximum preoperative tumor diameter, based on the axial and/or coronal T2 or FLAIR MR images). Participants must be ≥ 18 years old because the safety of each therapeutic component has not been established in children. * All participants must sign an informed consent document indicating that they are aware of the investigational nature of this study. * Participants must have a Karnofsky performance status of \> 60 (Appendix I). * Documented negative serum beta HCG for female participants of child-bearing age. Males and females must agree, in the consent form, to use effective birth control methods during the course of vaccination. Because there is an unknown but potential risk for adverse events in nursing infants secondary to treatment of the mother with the peptide based vaccine and poly-ICLC, breastfeeding should be discontinued if the mother is treated in this study. * Participants must be free of systemic infection * Participants with adequate organ function as measured by white blood count ≥ 2500/mm3; lymphocytes ≥ 800/mm3; platelets ≥ 100,000/mm3, hemoglobin ≥ 10.0 g/dL, AST, ALT, GGT, LDH, alkaline phosphatase within 2.5 x upper normal limit, and total bilirubin greater than or equal to 2.0 mg/dL, and serum creatinine within 1.5 X upper limit of normal limit. Coagulation tests PT and PTT have to be within normal limits. Exclusion Criteria: * Presence of cranial or spinal leptomeningeal metastatic disease. * Prior chemotherapy or anti-glioma therapy of any type other than radiation therapy (see 3.1.3) * Concurrent treatment or medications including: * Radiation therapy * Chemotherapy * Interferon * Allergy desensitization injections * Growth factors * Interleukins * Any investigational therapeutic medication * Participants must not have had prior autoimmune disorders requiring cytotoxic or immunosuppressive therapy, or autoimmune disorders with visceral involvement. Participants with an active autoimmune disorder requiring these therapies are also excluded. Mild arthritis requiring NSAID medications will not be exclusionary. * Use of immunosuppressives within 4 weeks prior to study entry or anticipated use of immunosuppressive agents. Dexamethasone, or other corticosteroid medications, if used perioperative period and/or during radiotherapy, must be tapered and discontinued at least 4 weeks before administration of the first vaccine. Topical corticosteroids and Inhaled steroids are acceptable. * Participants who have another cancer diagnosis, except that the following diagnoses will be allowed: * squamous cell cancer of the skin without known metastasis * basal cell cancer of the skin without known metastasis * carcinoma in situ of the breast (DCIS or LCIS) * carcinoma in situ of the cervix * any cancer without distant metastasis that has been treated successfully, without evidence of recurrence or metastasis for over 5 years * Participants with known addiction to alcohol or any drugs. * Because patients with immune deficiency are not expected to respond to this therapy, HIV positive patients are excluded from the study.