Murray is a graduate of the University of Virginia, where she was a Jefferson Scholar and an Echols Scholar, and Yale Law School, where she was notes development editor of the Yale Law Journal. While in law school, she earned special recognition as an NAACP-LDF/Shearman & Sterling Scholar and was a semifinalist of Morris Tyler Moot Court.
Following law school, Murray clerked for Sonia Sotomayor, then of the US Court of Appeals for the Second Circuit, and Stefan Underhill of the US District Court for the District of Connecticut. Murray is a member of the New York bar.
Murray teaches constitutional law, family law, criminal law, and reproductive rights and justice, among other courses. Murray’s research focuses on the legal regulation of sex and sexuality and encompasses such topics as marriage and its alternatives, the marriage equality debate, the legal recognition of caregiving, and reproductive rights and justice. Her publications have appeared (or are forthcoming) in the California Law Review, Columbia Law Review, Harvard Law Review, Michigan Law Review, Pennsylvania Law Review, Virginia Law Review, and Yale Law Journal, among others. She is an author of Cases on Reproductive Rights and Justice, the first casebook to cover the field of reproductive rights and justice. She has translated her scholarly writing for more popular audiences by publishing in the New York Times, Newsweek, the San Francisco Chronicle, Vanity Fair, and the Huffington Post, and has offered commentary for numerous media outlets, including NPR, MSNBC, and PBS.