ImmunoModulation by the Combination of Ipilimumab and Nivolumab Neoadjuvant to Surgery In Advanced or Recurrent Head and Neck Carcinoma

Inclusion Criteria: * Adults age 18 years and older * Patients with histologically confirmed T3-4N0-3M0 HNSCC (with soft tissue infiltration depth of ≥ 1 cm) of the oral cavity, oropharynx, hypopharynx or supraglottic larynx, eligible for curative surgery as primary treatment or salvage surgery after failed (chemo)radiation. * Performance Status ECOG 0 or 1 * No immunosuppressive medications within 6 months prior study inclusion * Screening laboratory values must meet the following criteria: WBC ≥ 2.0x109/L, Neutrophils ≥ 1.5x109/L, Platelets ≥ 100 x109/L, Hemoglobin ≥ 5.5 mmol/L, Creatinine ≤ 1.5x ULN, AST ≤ 3 x ULN, ALT ≤ 3 x ULN, Total Bilirubin ≤1.5 X ULN (except subjects with Gilbert Syndrome, who can have total bilirubin \< 3.0 mg/dL) * No hard-drug abuse. * Women of childbearing potential (WOCBP) must use appropriate method(s) of contraception. WOCBP should use an adequate method to avoid pregnancy for 23 weeks (30 days plus the time required for nivolumab to undergo five half-lives after the last dose of investigational drug. * Women of childbearing potential must have a negative serum or urine pregnancy test (minimum sensitivity 25 IU/L or equivalent units of HCG) within 24 hours prior to the start of nivolumab w/wo ipilimumab. * Men who are sexually active with WOCBP must use any contraceptive method with a failure rate of less than 1% per year Men receiving nivolumab w/wo ipilimumab and who are sexually active with WOCBP will be instructed to adhere to contraception for a period of 31 weeks after the last dose of investigational product. * Women who are not of childbearing potential (i.e., who are postmenopausal or surgically sterile) as well as azoospermic men do not require contraception. * All subjects must have signed and dated the written informed consent. Exclusion Criteria: * Distant metastasis * Active, known or suspected autoimmune disease. Subjects are permitted to enroll if they have vitiligo, type I diabetes mellitus, residual hypothyroidism due to autoimmune condition only requiring hormone replacement, psoriasis not requiring systemic treatment, or conditions not expected to recur in the absence of an external trigger. * Patients should be excluded if they have a condition requiring systemic treatment with either corticosteroids (\> 10 mg daily prednisone equivalents) or other immunosuppressive medications within 14 days of study drug administration. Inhaled or topical corticosteroids and adrenal replacement doses \> 10 mg daily prednisone equivalents are permitted in the absence of active autoimmune disease. * Prior systemic treatment with an anti-PD-1, anti-PD-L1, anti-PD-L2, anti-CTLA-4 antibody, or any other antibody or drug specifically targeting T-cell costimulation or immune checkpoint pathways; * Patients will be excluded if they are positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection; * Patients will be excluded if they have known history of testing positive for human immunodeficiency virus (HIV) or known acquired immunodeficiency syndrome (AIDS); * Allergies and Adverse Drug Reaction: history of allergy to study drug components, history of severe hypersensitivity reaction to any monoclonal antibody. * Underlying medical conditions that, in the Investigator's opinion, will make the administration of study drug hazardous or obscure the interpretation of toxicity determination or adverse events; * Concurrent medical condition requiring the use of immunosuppressive medications, or immunosuppressive doses of systemic or absorbable topical corticosteroids; * Use of other investigational drugs before study drug administration 30 days and 5 half times before study inclusion; * Pregnant or nursing. * As there is potential for hepatic toxicity with nivolumab or nivolumab/ipilimumab combinations, drugs with a predisposition to hepatotoxicity should be used with caution in patients treated with nivolumab-containing regimen. * In those patients who have a contraindication for cisplatin chemotherapy, Cetuximab might be used as a radiosensitizer for radiotherapy if adjuvant treatment is deemed necessary.