\indent If we have a smooth compact manifold, then its cotangent bundle has a natural symplectic form. A smooth affine variety also has a natural symplectic form. One can ask the following question: which cotangent bundles are symplectomorphic to smooth affine varieties? We construct many cotangent bundles that are not symplectomorphic to smooth affine varieties. \indent The main tool used to distinguish these objects is called wrapped Floer cohomology.