Although it didn't strictly answer the question, this answer offer an overview on the possibilities offered by the industry. There exists some positions in industry which are related strictly to mathematics. To be honest, anyone can learn a programming language in a couple of weeks(Java, C, C++, Php, C#,...). Mathematics, on the other hand requires years of work, which not always get into top publications. Nowadays, from my experience there are few positions in industry which requires mathematics, and someone which has a background in mathematics and also is very good at programming is hunted by the companies in industry - mostly, the companies which are performing business in aeronautics and space. I give a few examples: GMV Innovating Solutions, Thales, Deimos, Assystem. I know of these beacausebecause I was offered a positionsposition into some of these companies, which I refused. The basic programming language required is Matlab and/or Mathematica.