Barzuza's dissertation at Harvard won the John M. Olin Prize for Outstanding Paper in Law and Economics. She was a Byse Teaching Fellow and taught a workshop on regulatory competition in corporate and securities law. At Tel Aviv University, she was a member of the editorial board of the Tel Aviv University Law Review and a Cegla research fellow. She practiced corporate law at Haim Zadok & Co., in Israel, and was a summer associate at Sidley Austin Brown & Wood in New York.

Barzuza has presented in several conferences and workshops, including the Stanford/Yale Junior Faculty Forum; the annual meetings of the American, Canadian, European, and Israeli Law and Economics Associations; and workshops at Harvard Law School and the University of Chicago.

Her research interests include corporate law, corporate finance, securities law, and law and economics.