This NYTimes article speculates that Donald Trump may be ineligible to run for elected office due to his role in the Jan 6 insurrection. Stephen Calebresi is quoted: "Trump is ineligible to be on the ballot, and each of the 50 state secretaries of state has an obligation to print ballots without his name on them."

From the linked paper:

"Section Three of the Fourteenth Amendment forbids holding office by former office holders who then participate in insurrection or rebellion....in particular, it disqualifies former President Donald Trump, and potentially many others, because of their participation in the attempted overthrow of the 2020 presidential election."