However, the three-star shooting guard from Valley (IA) HS plans to narrow down his list in the coming weeks.
"I have one tournament left, then I'm going to narrow it down once august comes around," he said. "I want to try to get down to a manageable number like four or five I would say."
Right now, Abrahamson said that all of the schools that have offered are even.
"I'm looking for the right fit for me basketball-wise, academically, and the people at the school," he said. "(I want) a place where I can fit in and have a good time."
Abrahamson visited Northwestern during the last week of June and has also been talking to coach Bill Carmody.
"I just talked to (Carmody) last week," he said. "He's a great guy. I also talked to Coach Hardy, the assistant who is heading up my recruitment, too, and we like him, too.
"We enjoyed (the visit)," he said. "My whole family went with me and we had a fun time."
Abrahamson has also visited Creighton, Stanford, Nebraska, Wake Forest, and Vanderbilt. He liked all of the visits and said none of them stick out over another.
"They were all really good," he said. "The sort of role out the red carpet and really make it nice for you. I just have to sit down with my family and decide what I really want in college."
Iowa was Abrahamson's most recent offer, and in addition to that being a home state school, his high school coach, Jeff Horner, was a star for the Hawkeyes as well. However, Abrahamson said that won't play into his recruitment.
"I think Horner may push Iowa on me a little beacuse he's a little biased, but he's been really good for me and he knows what he's talking about," he said.
Proximity to home won't play a role in his recruitment, either.
"I pretty much have offers from all across the country, and I don't think I will make a decision based on location," he said. "I'm mature enough to leave home, but staying at home could happen, too."
Abrahamson still plans to take his official visits, but plans on making his decision right after taking those visits.
"I want to do it before my high school season so I can focus on that," he said.