New head coach Carolyn Kieger announced her initial hires to the Penn State women's basketball staff, bringing along staffers who have served under her at Marquette.
Reaves will play at the same tournament that basketball legends like John Stockton and Scottie Pippen participated in during their hall of fame careers.
Penn State placed Abashidze on administrative leave in September 2018 after reports of sexual misconduct and harassment on the U.S. Center for SafeSport.
Fellow rising seniors Liam Folkes and Kris Myllari will each wear an "A" as Penn State's alternate captains in 2019-20.
Penn State was swept by a strong Nebraska team over the weekend at Medlar Field at Lubrano Park
"It came down to being able to look myself in the mirror and going after my goals and my dreams that I've wanted since I was 12 years old. That's to be on the highest stage and be surrounded by elite mentality, be at a place where we have a chance to win national championships."