Question: What team prior to joining the Big Ten, the team was a member of the American Athletic Conference, had a head coach who moved on to become the head football coach at Columbia University?

<P0-S0> Robert James Naso (born September 11, 1937) is an American former college football coach. <P0-S1>  From 1961 to 1967 he was defensive line coach at Rutgers, then was defensive coordinator from 1968 to 1979. <P0-S2>  In 1976, while Naso worked as defensive coordinator, the Scarlet Knights went 11–0 and his unit placed first nationwide in total, rushing and scoring defense. <P0-S3>  After spending two decades with his alma mater, where he also played football and lacrosse, Naso moved on to become the head football coach at Columbia University. <P0-S4>  He was fired after five seasons during which time his teams compiled a 4–43–2 record, including a 1984 season that was Columbia's first winless season since 1943. <SEP> <P1-S0> The Rutgers Scarlet Knights football team represents Rutgers University in the Football Bowl Subdivision (FBS) of the National Collegiate Athletics Association (NCAA). <P1-S1>  Rutgers competes as a member of the East Division of the Big Ten Conference. <P1-S2>  Prior to joining the Big Ten, the team was a member of the American Athletic Conference (formerly the Big East Conference) from 1991 to 2013. <P1-S3>  Rutgers plays its home games at High Point Solutions Stadium, located at Piscataway, New Jersey campus. <P1-S4>  The team is currently led by head coach Chris Ash. <SEP> <P2-S0> The 2015 UCF Knights football team represented the University of Central Florida in the 2015 NCAA Division I FBS football season. <P2-S1>  The Knights were members of the East Division of the American Athletic Conference (The American), and played their home games at Bright House Networks Stadium on UCF's main campus in Orlando, Florida. <P2-S2>  The Knights were led by head coach George O'Leary, who was in his 12th and final season with the team. <P2-S3>  After starting the season 0–6, O'Leary resigned as UCF's interim athletic director, a position he had held since June when Todd Stansbury left for the same position at Oregon State. <P2-S4>  Following UCF's 59–10 defeat by Houston on homecoming, dropping the Knights to an 0–8 record, O'Leary resigned as head football coach. <P2-S5>  Quarterbacks coach Danny Barrett served as interim head coach for the remainder of the season. <SEP> <P3-S0> Raymond Eliot Nusspickel (June 13, 1905 – February 24, 1980) was an American football and baseball player, coach, and college athletics administrator. <P3-S1>  He served as the head football coach Illinois College from 1933 to 1936 and at the University of Illinois at Urbana–Champaign from 1942 to 1959, compiling a career college football record of 102–82–13. <P3-S2>  Eliot was also the head baseball coach at Illinois College from 1933 to 1937. <P3-S3>  His Illinois Fighting Illini football teams won three Big Ten Conference championships (1946, 1951, and 1953) and two Rose Bowls (1947 and 1952). <P3-S4>  Eliot, who spent almost his entire career at the University of Illinois—he was a student athlete, an assistant football coach, head football coach, associate athletic director, and finally the interim athletic director for the university—was nicknamed "Mr. Illini." <P3-S5>  He attended the University of Illinois, played as a guard on the football team in 1930 and 1931, and was a member of Alpha Sigma Phi fraternity. <P3-S6>  He died of an apparent heart attack on February 24, 1980 in Urbana, Illinois.