Among its famous students and teachers are seven Nobel prize winners , two Fields Medalists , eleven Gottfried Wilhelm Leibniz Prize winners , Pope Benedict XVI , Karl Marx , Friedrich Nietzsche , Joseph Schumpeter and Joseph Goebbels . Among its notable alumni and faculty are seven Nobel Laureates , two Fields Medalists , twelve Gottfried Wilhelm Leibniz Prize winners , Pope Benedict XVI , Heinrich Heine , Karl Marx , Friedrich Nietzsche and Joseph Schumpeter .