Inclusion Criteria:

• Pathologically (histologically or cytologically) proven diagnosis of head and neck squamous cell carcinoma (HNSCC) involving the oral cavity (excluding lips), oropharynx (p16 negative), larynx, or hypopharynx within 63 days of registration
• Patients must have undergone gross total surgical resection of high-risk oral cavity, oropharynx (p16 negative), larynx, or hypopharynx within 63 days prior to registration
• Patients must have at least 1 of the following high-risk pathologic features: extracapsular nodal extension or invasive cancer at the primary tumor resection margin (tumor or ink)
• Pathologic stage III or IV head and neck squamous cell carcinoma (HNSCC), including no distant metastases, based upon the following minimum diagnostic workup:
  • General history and physical examination by a radiation oncologist and/or medical oncologist within 84 days prior to registration;
  • Examination by an ear nose throat (ENT) or head & neck surgeon prior to surgery; a laryngopharyngoscopy (mirror and/or fiber optic and/or direct procedure), if appropriate is recommended but not required. Intra-operative examination is acceptable documentation.
  • Pre-op Imaging: Either a computed tomography (CT) (with contrast) or CT/positron emission tomography (PET) (with contrast) and/or an magnetic resonance imaging (MRI) (T1 with gadolinium and T2) of the neck within 84 days prior to surgery; note: this imaging data (diagnostic pre-operative scan showing gross disease) is to be submitted in Digital Imaging and Communications in Medicine (DICOM) format via TRIAD; the report is to be uploaded into Rave
  • Chest CT scan (with or without contrast) or CT/PET that includes the chest (with or without contrast) either within 84 days prior to surgery or within 120 days prior to registration;
    • NOTE: If the CT/PET with or without contrast is done within 84 days prior to surgery, if fulfills the chest imaging requirement.
• Zubrod performance status of 0-1 within 14 days prior to registration
• Absolute granulocyte count (AGC) ≥ 1,500 cells/mm^3
• Platelets ≥ 100,000 cells/mm^3
• Hemoglobin ≥ 8.0 g/dl (Note: The use of transfusion or other intervention to achieve hemoglobin [Hgb] ≥ 8.0 g/dl is acceptable)
• Total bilirubin < 2 x institutional upper limit of normal (ULN) within 14 days prior to registration
• Aspartate aminotransferase (AST) or alanine aminotransferase (ALT) < 3 x institutional ULN within 14 days prior to registration
• Serum creatinine institutional ULN within 14 days prior to registration or; creatinine clearance (CC) ≥ 50 ml/min within 14 days prior to registration determined by 24-hour collection or estimated by Cockcroft-Gault formula
• Negative serum or urine pregnancy test within 14 days prior to registration for women of childbearing potential
• The following assessments are required within 14 days prior to registration: sodium (Na), potassium (K), chloride (Cl), glucose, calcium (Ca), magnesium (Mg), and albumin;
  • Note: Patients with an initial magnesium < 0.5 mmol/L (1.2 mg/dl) may receive corrective magnesium supplementation but should continue to receive either prophylactic weekly infusion of magnesium and/or oral magnesium supplementation (eg, magnesium oxide) at the investigator's discretion
• Patients with feeding tubes are eligible for the study
• Women of childbearing potential and male participants who are sexually active must agree to use a medically effective means of birth control
• Patient must provide study specific informed consent prior to study entry, including consent for mandatory tissue submission for epidermal growth factor receptor (EGFR) analysis and for oropharyngeal cancer patients, human papilloma virus (HPV) analysis

Exclusion Criteria:

• Prior invasive malignancy (except non-melanomatous skin cancer) unless disease free for a minimum of 1095 days (3 years); noninvasive cancers (for example, carcinoma in situ of the breast, oral cavity, or cervix are all permissible) are permitted even if diagnosed and treated < 3 years ago
• Patients with simultaneous primaries or bilateral tumors are excluded, with the exception of patients with bilateral tonsil cancers or patients with T1-2, N0, M0 resected differentiated thyroid carcinoma, who are eligible
• Prior systemic chemotherapy or anti-epidermal growth factor (EGF) therapy for the study cancer; note that prior chemotherapy for a different cancer is allowable
• Prior radiotherapy to the region of the study cancer that would result in overlap of radiation therapy fields
• Severe, active co-morbidity, defined as follows:
  • Unstable angina and/or congestive heart failure requiring hospitalization within 6 months prior to registration
  • Transmural myocardial infarction within 6 months prior to registration
  • Acute bacterial or fungal infection requiring intravenous antibiotics at the time of registration
  • Chronic obstructive pulmonary disease exacerbation or other respiratory illness requiring hospitalization or precluding study therapy at the time of registration
  • Idiopathic pulmonary fibrosis or other severe interstitial lung disease that requires oxygen therapy or is thought to require oxygen therapy within 1 year prior to registration
  • Hepatic insufficiency resulting in clinical jaundice and/or coagulation defects; note, however, that laboratory tests for coagulation parameters are not required for entry into this protocol
  • Acquired immune deficiency syndrome (AIDS) based upon current Centers for Disease and Control (CDC) definition; note: HIV testing is not required for entry into this protocol; the need to exclude patients with AIDS from this protocol is necessary because the treatments involved in this protocol may be significantly immunosuppressive; protocol-specific requirements may also exclude immuno-compromised patients
• Grade 3-4 electrolyte abnormalities (Common Terminology Criteria for Adverse Events [CTCAE], v. 4):
• Serum calcium (ionized or adjusted for albumin) < 7 mg/dl (1.75 mmol/L) or > 12.5 mg/dl (> 3.1 mmol/L) despite intervention to normalize levels
• Glucose < 40 mg/dl (< 2.2 mmol/L) or > 250 mg/dl (> 14mmol/L)
• Magnesium < 0.9 mg/dl (< 0.4 mmol/L) or > 3 mg/dl (> 1.23 mmol/L) despite intervention to normalize levels
• Potassium < 3.5 mmol/L or > 6 mmol/L despite intervention to normalize levels
• Sodium < 130 mmol/L or > 155 mmol/L despite intervention to normalize levels
• Pregnancy or women of childbearing potential and men who are sexually active and not willing/able to use medically acceptable forms of contraception; this exclusion is necessary because the treatment involved in this study may be significantly teratogenic
• Prior allergic reaction to cetuximab