Dajuan Harris scored the game-winning layup with 7.1 seconds remaining Tuesday as No. 9 Kansas overcame a slow start and nipped No. 15 Iowa State 62-61 in Lawrence, Kan.

Harris' bucket for the Jayhawks (13-2, 2-1 Big 12) came after a frantic late rally by the Cyclones (13-3, 1-3), who went ahead 59-58 with 36 seconds left when Caleb Grill grabbed an offensive rebound and made a jumper.

Ochai Agbaji -- the game's leading scorer with 22 points, including four 3-pointers -- made two free throws to put Kansas up 60-59, but Izaiah Brockington countered with a step-back jumper at the :16 mark for Iowa State.

Harris, who scored 12 points, then converted his drive and the Cyclones could not score in the final moments after shooting just 34.4 percent in the second half.

Christian Braun added 13 points for Kansas, who overcame a turnover inside the final minute when David McCormack set an illegal screen for Agbaji.

Brockington, who started slowly, netted 10 points in the final 5:19 and led Iowa State with 17 points, his season average, and eight rebounds.

Gabe Kalscheur sank four 3-pointers and added 14 points, while Tyrese Hunter had 12 as the Cyclones dropped their second straight after falling at Oklahoma on Saturday.

Kalscheur nailed three 3-pointers and shared team honors in the first half with Hunter as each scored nine to lead Iowa State to a 33-31 halftime edge.

The Cyclones used back-to-back treys from Kalscheur during a 10-0 run to gain control, 19-10, and led for almost 18 minutes of the half.

Kansas committed 10 first-half turnovers, three because of steals by Hunter, but bounced back with a 13-3 flurry. Agbaji made three first-half triples and netted 13 points.

The Jayhawks continued to experiment underneath, starting K.J. Adams over McCormack and Mitch Lightfoot. The three bigs combined for just eight points and 10 boards.

Kansas starter Remy Martin missed the game while dealing with a lingering knee injury.

Former Kansas coach Roy Williams attended the game. It marked Williams' first appearance watching the Jayhawks at home since he coached them from 1988-2003 before leaving for North Carolina.

--Field Level Media