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We study polynomials with complex coefficients which are nondegenerate in twosenses, one of Kouchnirenko and the other with respect to its Newtonpolyhedron, through data on contact loci and motivic nearby cycles. Introducingan explicit description of these quantities we can answer in part to questionsconcerning the motivic nearby cycles of restriction functions and the integralidentity conjecture in the context of Newton nondegenerate polynomials.Furthermore, in the nondegeneracy in the sense of Kouchnirenko, we givecalculations on cohomology groups of the contact loci.

Geometry of nondegenerate polynomials: Motivic nearby cycles and Cohomology of contact loci