Pemetrexed and Oxaliplatin in Treating Patients With Locally Advanced Head and Neck Cancer

DISEASE CHARACTERISTICS: Inclusion criteria: Patients must meet all of the following criteria in order to be eligible for entry into the trial: * Histologically or cytologically confirmed stage III - IVB HNSCC (includes unknown primary and ParaNasal Sinus cancers)but excludes nasopharyngeal, salivary gland or skin primaries (No TNM staging required) * Patients must have a measurable disease defined by RECIST criteria * Age \> 18 years * ECOG Performance Score of 0, 1 or 2 * Adequate bone marrow as evidenced by: * Absolute neutrophil count \> 1,500/μL * Platelet count \> 100,000/μL * Adequate renal function as evidenced by serum creatinine \< 1.5 mg/dL and CrCl \> 45 mL/min as determined by calculated creatinine clearance using the Cockroft-Gault formula: * CrCl = (140-age) x (weight in kg)/72 x serum creatinine * Multiply by 0.85 (85%) for females * Adequate hepatic function as evidenced by: * Serum total bilirubin \< 1.5 mg/dL * Alkaline phosphatase \< 3X the ULN for the reference lab * SGOT/SGPT \< 3X the ULN for the reference lab * Patients or their legal representatives must be able to read, understand and provide informed consent to participate in the trial. * Patients of childbearing potential and their partners must agree to use an effective form of contraception during the study and for 90 days following the last dose of study medication (an effective form of contraception is an oral contraceptive, double barrier method or surgical intervention resulting in sterility). * Patients must be able to interupt NSAIDs at 2 days before (5 days for long-acting NSAIDs),the day of, and 2 days following administration of Pemetrexed. * Patients must be willing and able to take Folic Acid (350-1000 μg) daily beginning 1 week (7 days) prior to the first dose of Pemetrexed and continued daily until 3 weeks after the last dose of study therapy. In addition, patients must be willing to maintain a Pill Diary as part of study compliance. * Patients must be willing and able to take Vitamin B12 (1000 μg) administered intramuscularly beginning 1 week (7 days) prior to the first dose of Pemetrexed and repeated at the planned End of Treatment visit (no later than 9 weeks from the first injection). * Patients must be willing and able to take Dexamethasone (4 mg of oral or equivalent) that should be given twice daily on the day before, the day of, and the day after each dose of Pemetrexed for rash prophylaxis unless medically contraindicated. Exclusion Criteria: A patient may not be enrolled in the trial if any of the following criteria are met: * Patients with an active infection or with a fever \> 101.30 F within 3 days of the first scheduled day of protocol treatment * History of prior malignancy within the past 3 years except for curatively treated basal cell carcinoma of the skin, cervical intra-epithelial neoplasia, or localized prostate cancer with a current PSA of \< 1.0 mg/dL on 2 successive evaluations, at least 3 months apart, with the most recent evaluation no more than 4 weeks prior to entry * Patients with known hypersensitivity to any of the components of Oxaliplatin and Pemetrexed * Patients who received any chemotherapy, radiation therapy or surgical resection other than diagnostic biopsies for HNSCC prior to the first scheduled day of protocol treatment * Patients who are receiving concurrent investigational therapy or who have received investigational therapy within 30 days of the first scheduled day of protocol treatment(investigational therapy is defined as treatment for which there is currently no regulatory authority approved indication) * Peripheral neuropathy ≥ Grade 2 * Patients who are pregnant or lactating * Any other medical condition, including mental illness or substance abuse, deemed by the Investigator to be likely to interfere with a patient's ability to sign informed consent,cooperate and participate in the study, or interferes with the interpretation of the results. * History of allogeneic transplant * Known HIV (active, previously treated or both) * Presence of clinically detectable (by physical exam) third-space fluid collections, for example, ascites or pleural effusions that cannot be controlled by drainage or other procedures prior to study entry.