House began his college career playing for the Arizona State Sun Devils. House appeared in 30 games off the bench and he averaged 3.9 points and 1.2 assists per game. As a sophomore House averaged 5.3 points and 1.5 assists per game in 21 appearances. On April 15, 2021, he committed to New Mexico. In his first game with the Lobos during the 2021–22 season, he had 30 points vs.
FAU, the second most points by a Lobo in their debut. House averaged 16.9 points, 4.5 assists, and 2.2 steals per game. During his senior season House averaged 16.9 points, 4.7 assists, and 2.7 assists per game. As a graduate student during the 2023–24 season, House averaged 15.9 points, 3.5 assists, and 2.3 steals per game. House led the Lobos to a MW Tournament Championship, defeating San Diego State 68–61 to clinch its first title since 2014. House scored 28 points in the contest. == Professional career ==