Before joining the Michigan Law faculty, Cobb was an assistant clinical professor at Boston College Law School and director of the Boston College Defenders. In that clinic, she trained and supervised students representing indigent individuals facing criminal charges. Cobb also taught a seminar in Race, Racism, and the Law. In 2024, she was named Faculty Member of the Year in recognition of her service and dedication to students.
Earlier in her career, Cobb was an attorney in the Special Litigation Division of the Public Defender Service (PDS), where she litigated complex and recurring issues, seeking to challenge unjust practices in the criminal legal system. At PDS, Cobb represented clients at the trial level, on appeal, and in post-conviction proceedings in local and federal courts. She began her legal career as a litigation associate in the Washington, DC, office of Covington & Burling LLP.
At Harvard Law School, she served as a teaching fellow and research assistant for Professor Charles J. Ogletree Jr.