[3] Leavitt path algebras were simultaneously introduced in 2005 by Abrams and Gonzalo Aranda Pino[4] as well as by Ara, Moreno, and Pardo,[5] with neither of the two groups aware of the other's work.
[6] Abrams has stated that his inspiration for Leavitt path algebras came after attending a CBMS Conference hosted by Paul Muhly, David Pask, and Mark Tomforde at the University of Iowa in 2004.
Leavitt path algebras have been investigated by dozens of mathematicians since their introduction, and Abrams has been instrumental in the development of the theory.
[10][11][12] Abrams is also one of the coauthors, with Pere Ara and Mercedes Siles Molina, of the book Leavitt path algebras,[13] published by Springer.
Abrams also wrote an article for the MAA FOCUS describing his experiences at the Colorado Café Scientifique and encouraging more mathematicians to become involved in this kind of public outreach.