This talk will be about the work I did with Prof. Steenbrink for my Master's thesis. Singularities defined by holomorphic function germs are well studied in the literature. For “almost all” function germs, invariants like the Newton number and the singularity spectrum can be computed combinatorially from the Newton diagram of the germ. In this talk we'll first discuss this classical theory, and then generalize the situation to function germs defined on some (possibly singular) toric variety. We'll show that we can use Newton diagram methods for calculating invariants in this case.