%0 Journal Article %T Integral points of bounded degree on affine curves %A Aaron Levin %J Mathematics %D 2014 %I arXiv %R 10.1112/S0010437X15007708 %X We generalize Siegel's theorem on integral points on affine curves to integral points of bounded degree, giving a complete characterization of affine curves with infinitely many integral points of degree d or less over some number field. Generalizing Picard's theorem, we prove an analogous result characterizing complex affine curves admitting a nonconstant holomorphic map from a degree d (or less) analytic cover of $\mathbb{C}$. %U http://arxiv.org/abs/1402.2346v1