On November 1, the U.S. Supreme Court refused to hear Libertarian Party of Ohio v Crites, 21-226. This is the case over the composition of the Ohio Election Commission. Ohio law says the members of the Commission must be three members of the two largest parties (as measured by which two parties have the most seats in the legislature), and a member chosen by the other six who is not a member of any party. Thus a minor party member may never serve.
The Court’s action continues a 30-year unbroken refusal by the court to accept any cert petition filed by a minor party or independent candidate, unless the two major parties were also in the case on the same side as the minor party. Yet during that 30-year period the court accepted six cert petitions filed when the minor party or independent candidate had won in the court below, and the state sought Supreme Court review. They include cases on ballot access, fusion, party freedom to decide for itself to let independents vote in its primaries, debates, and exclusion of independent and minor party candidates from serving as a state court judge.
Here is a short Associated Press article on the refusal.