Her dissertation, in number theory, was titled An Effective Version Of Belyi's Theorem and her doctoral advisor was Hendrik Lenstra.

The books are published by the MAA Press, an imprint of the American Mathematical Society.

[2][3] In a personal essay, Karaali has described taking inspiration from Khadjavi's work on racial profiling in Los Angeles-area traffic stops when teaching an interdisciplinary first-year seminar.

[5][6] In 2020, California Attorney General Xavier Becerra appointed her to the state of California's Racial and Identity Profiling Advisory Board, which was established to address racial and identity-based profiling by law enforcement.

[7] Khadjavi has presented her work as popular science and in context of social issues.