A resistor structure is provided that contains curved resistor elements. The resistor structure is embedded within an interconnect dielectric material and the resistivity of an electrical conducting resistive material of the resistor structure can be tuned to a desired resistivity during the manufacturing of the resistor structure. Notably, an electrical conducting metallic structure having a concave outermost surface is provided in a dielectric material layer. A doped metallic insulator layer is formed on the concave outermost surface of the metallic structure. A controlled surface treatment process is then performed to an upper portion of the doped metallic insulator layer to convert the upper portion of the doped metallic insulator layer into an electrical conducting resistive material. An interconnect dielectric material can then be formed to embed the entirety of the remaining doped metallic insulator layer and the electrical conducting resistive material.