Rehnquist died Saturday night after a long battle with thyroid cancer.
He served on the high court for 33 years, 19 as chief justice.
Flags are flying at half–staff in Wisconsin to honor Shorewood native Chief Justice Rehnquist. Governor Jim Doyle made the order for all state buildings.
Rehnquist studied at U–W Milwaukee before moving onto his career as one of the best justices in history.
The governor called him one of the most influential justices of the last century. And UW professor Donald Downs agrees. "He knew how to run the court; and he was efficient, had direction, and also had the respect of all the other Supreme Court justices." says Downs.
Professor Downs says if a conservative justice is chosen to take Rehnquist's place, the Supreme Court would shift to the right.
Rehnquist will be buried Wednesday at Arlington National Cemetery, where his wife was laid to rest in 1991. Rehnquist was 80 years old.