"I think we are going to have a tremendous team next season and I look forward to helping us stay at the top of the Big East and
doing everything we can to return to the Final Four and win another national championship," Boone said.
He started all 31 games this past season and averaged 12.4 points, 8.4 rebounds and 2.9 blocks. He also was named Big East Defensive Player of the Year.
Gay garnered Big East Co-Rookie of the Year awards, averaging 11.8 points. He started the final 26 games of the season.
"We obviously have very high expectations for Rudy in the coming year," UConn coach Jim Calhoun said.
"I know he has the potential to be one of the best players in the country and to help our team achieve great success in the future.''