Auer is remembered as one of the most important pedagogues of the violin, and was one of the most sought-after teachers for gifted students. "Auer's position in the history of violin playing is based on his teaching." Many notable virtuoso violinists were among his students, including Mischa Elman, Konstanty Gorski, Jascha Heifetz, Nathan Milstein, Toscha Seidel, Efrem Zimbalist, Georges Boulanger, Benno Rabinof, Kathleen Parlow, Julia Klumpke, Thelma Given, Sylvia Lent, Kemp Stillings, and Oscar Shumsky. Among these were "some of the greatest violinists" of the twentieth century.