Alissa Susan Crans is an American mathematician specializing in higher-dimensional algebra.

[1] Crans graduated summa cum laude and Phi Beta Kappa from the University of Redlands in 1999.

[1] Diamond Bar High School lists Crans among their Distinguished Alumni.

In the same year she also won the Merten M. Hasse Prize of the MAA for her paper "Musical Actions of Dihedral Groups".

[6] The Association for Women in Mathematics has included her in the 2020 class of AWM Fellows for "mentoring and supporting women at Loyola Marymount and through EDGE, SMP, SPWM, and Project NExT; for her role in the Pacific Coast Undergraduate Mathematics Conference, recognized as an AMS Program That Makes a Difference".