The battle between Abigail Noel Fisher and the University of Texas at Austin continues with opposing views about where the case should go next.

In the past week, both sides filed replies in the U.S. 5th Circuit Court of Appeals. In those replies, filed July 29 by UT, and Aug. 1 by Fisher, the two sides each responded to each other’s arguments about where the U.S. Supreme Court, when on June 24 it remanded Fisher v. UT to the circuit court, intended for the potentially precedent-setting affirmative action litigation to land.