Alfonso Clark "Trey" Burke III (born November 12, 1992) is an American professional basketball player for the Mexico City Capitanes of the NBA G League. He played college basketball for the Michigan Wolverines where in the 2012–13 season, he earned National Player of the Year and led the 2012–13 Wolverines to the championship game of the 2013 NCAA Division I men's basketball tournament. Shortly after the tournament he declared his eligibility for the draft.
As a freshman at Michigan, he earned the 2011–12 Big Ten Co-Freshman of the Year award and was named to the 2011–12 All-Big Ten 2nd team. He led the 2011–12 team in points, assists, steals and blocked shots. As a sophomore, Burke was a consensus first team 2013 NCAA Men's Basketball All-American. He also earned Big Ten Conference Men's Basketball Player of the Year in 2013 and was a unanimous 2012–13 All-Big Ten 1st team selection. He also earned almost all the possible National Player of the Year awards (Wooden, AP, NABC, Naismith, Robertson and Sports Illustrated), as well as the Bob Cousy Award. As a sophomore, he led the Big Ten in assists and set the Michigan single-season assists record.
Burke was drafted by the Minnesota Timberwolves with the ninth overall pick in the 2013 NBA draft and immediately traded to the Utah Jazz. As a rookie, he finished third in the NBA Rookie of the Year Award voting. After three seasons with the Jazz, Burke was traded to the Washington Wizards in July 2016. After a short stint with the Westchester Knicks of the NBA G League, he joined the New York Knicks in January 2018. In January 2019, Burke was traded to the Dallas Mavericks. In July of the same year, he signed with the Philadelphia 76ers. Burke rejoined the Mavericks in July 2020.