The Supreme Court absolutely interprets the meaning of federal law passed by the legislature. Whether they do it by appeal to authorial intent or something else

The Supreme Court absolutely interprets the meaning of federal law passed by the legislature. Whether they do it by appeal to authorial intent or something else is a matter of jurisprudential philosophy. For an example of talking about what the legislators intended, see King v. Burwell: https://en.wikipedia.org/wiki/King_v._Burwell https://en.wikipedia.org/wiki/King_v._Burwell