Wirtinger's range of mathematics was quite exceptional. Not only did he write beautiful papers on function theory, he also wrote on geometry, algebra, number theory, plane geometry and the theory of invariants. He also wrote several important papers on Lie's translation manifolds and their application to abelian integrals.
This list would make one believe that Wirtinger's range within pure mathematics was very wide but his interests went well beyond pure mathematics. He published results on Einstein's theory of relativity and other areas of mathematical physics. He also worked in statistics and wrote a work on rainbows.