Josef Teichmann (* 27 August 1972 in Lienz) is an Austrian mathematician and professor at ETH Zürich working on mathematical finance. After studying mathematics at the University of Graz, he pursued his PhD at the University of Vienna. The title of his dissertation in 1999 under the supervision of was "The Theory of Infinite-Dimensional Lie Groups from the Point of View of Functional Analysis". After working at the Vienna University of Technology, he obtained the Habilitation there in 2002. Since June 2009 he has been a professor at the Department of Mathematics at ETH Zürich.