Lisa Madigan, Illinois Attorney General, agrees that incoming Governor Bruce Rauner has the authority to appoint a new State Comptroller to replace Judy Baar Topinka, who died this month, shortly after being re-elected. But the Attorney General also advocates that the legislature change the law, to provide that the gubernatorial appointment only be good until the November 2016 election. Comptroller is a four-year office, so if the law is not changed, the person appointed soon will serve the entire four years even though that person had not been elected. See this story.