The cases, which stem from efforts to keep Donald J. Trump in office after his 2020 loss, are proceeding even as Mr. Trump prepares to return to the White House.
Ms. Willis, who charged Mr. Trump in connection with his efforts to cling to power after the 2020 election, came under scrutiny over her relationship with a lawyer she hired to lead the case.
Canceled oral arguments in one case and a judge’s recusal in another have added to questions about the future of four state cases against Donald J. Trump and his allies.
Fani T. Willis, the district attorney, defended her personal conduct in a tense courtroom appearance as defense lawyers sought to disqualify her from the prosecution of Donald J. Trump and his allies in Georgia.
The appeal filed on Tuesday disputes a judge’s ruling that six of the charges brought against Donald J. Trump and his allies in Georgia were not specific enough.
Republicans are filing a barrage of election lawsuits in the final weeks of the presidential campaign. The cases may be a road map for a legal battle over the results.
Brian Scott Lorenz was convicted of killing a young mother near Buffalo in 1993. The district attorney is fighting a judge’s decision last year to throw out the case.