NEW YORK — For years, Marianne Hirsch, a prominent genocide scholar at Columbia University, has used Hannah Arendt’s book about the trial of a Nazi war criminal, “Eichmann in Jerusalem: A Report on the Banality of Evil,” to spark discussion among her students about the Holocaust and its lingering traumas. But after Columbia’s recent adoption of a new definition of antisemitism, which casts certain criticism of Israel as hate speech, Hirsch fears she may face official sanction for even mentioning the landmark text by Arendt, a philosopher who criticized Israel’s founding. For the first time since she started teaching five...