Is it possible or legitimate to pursue two distinct research interests in the same discipline in the context of an advanced academic career (PhD and beyond that)?
For example, can I have two research interests the one concerning History of Economics and the other concerning Mathematical & Computational Economics in a PhD program in an Economics department where there are always professors that have these but usually not the same person?
Or for example, can I have two research interests the one concerning Political Theory/Philosophy and the other concerning Mathematical & Computational Social Sciences(Political Science) in a PhD program in Political Science department where there are always professors that have these but usually not the same person?
Just for the record, I have postgraduate academic education from prestigious universities both in Computer Science & Applied Mathematics and in Social Sciences(mainly Economics) & Philosophy. For this reason, I want to maintain both my strong qualitative and quantitative skills and have these, two in each case essentially, quite distinct research interests.