I'm going to apply for a doctorate position in mathematics soon, and I'm wondering if my breadth can be of any disadvantage. I have two MSc degrees, in mathematics and engineering respectively. The past years I've coauthored papers in different field on the side, all of which had novel content. My work has ranged from pure math, nanotechnology, to high performance computing and numerical analysis.
I'm wondering if this can be held against me when applying for a more "pure" math doctorate. As a side note, in my country a doctorate is the latter part of an American PhD, after you're done with the coursework and you mainly do research. So, the main focus will, of course, be on my research aptitude. I have demonstrated this through my work, and also by participating in competitions/conferences.
By the time they decide I will also have had some applied/industrial math experience, working for a research institute, and I have teaching experience with undergraduate courses.
Would I seem a much less interesting applicant than someone who has only focused on pure math, but doesn't have the same research experience (which is often the case)?