Hauser made his debut for Marquette on November 11, 2016, scoring 14 points in 19 minutes off the bench in a 95–71 win over
Vanderbilt. He was named
Big East Conference Freshman of the Week. On December 4, Hauser recorded a season-high 19 points in an 89–79 victory over
Georgia. He scored 19 points in his subsequent game, two days later, in an 84–81 win over
Fresno State. On February 21, 2017, Hauser matched his season high again, contributing 19 points with 5 three-pointers, 8 rebounds and 4 steals in a 93–71 victory over
St. John's. He also helped his team set a program record for three-pointers in a single season. As a freshman, Hauser averaged 8.8 points, five rebounds and 1.3 assists per game, shooting 45.3 percent from three-point range while leading his team in minutes and defensive rebounding. On November 27, 2017, Hauser scored a sophomore season-high 30 points, along with nine rebounds and four assists, in an 86–83
overtime win over
Eastern Illinois. On December 21, he hit a career-high 7 three-pointers in a 29-point effort to lead his team past
American, 92–51. Hauser matched his career high in scoring on January 12, 2018, with 30 points and 6 rebounds in a 94–83 loss to
Butler. As a sophomore, he averaged 14.1 points, 5.7 rebounds, and 2.9 assists per game. On December 8, 2018, he recorded a career-high 14 rebounds, to go along with 13 points and four assists, in a 74–69 victory over
Wisconsin. On January 15, 2019, Hauser scored a career-high 31 points to go with eight rebounds in a 74–71 win over
Georgetown. In his following game, he recorded 25 points, seven rebounds and four assists in a 79–68 victory over
Providence. Hauser was subsequently named Big East Player of the Week. After averaging 14.9 points, a team-high 7.2 rebounds, and 2.4 assists per game, Hauser was named to the
All-Big East second team. Following the season, he announced that he would transfer from Marquette to try to find a "better fit." On May 28, 2019, Hauser committed to continue his career at
Virginia and sat out the next season due to
National Collegiate Athletic Association (NCAA) transfer rules. In his debut for Virginia on November 25, 2020, he scored 19 points in an 89–54 win against
Towson. As a senior, he averaged 16 points, 6.8 rebounds and 1.8 assists per game. On March 25, 2021, Hauser announced that he would declare for the
2021 NBA draft. With Virginia, he posted a 50% FG, 42% 3FG, and 90% FT shooting season but came up just .004 short in
free throw percentage from officially joining the
50–40–90 club. As teammate
Trey Murphy III qualified in the same season, it would have been the first time two teammates made the 50–40–90 club in the same year at the NCAA (or NBA) level of men's basketball competition. ==Professional career==