I've took an introductory course on Algebraic Number Theory during my Master's, which I really enjoyed. Now that I'm beginning to think about my PhD area, I wonder if I shouldn't go for something in that direction.
However, as in practically all courses I've taken, I was too busy trying to understand definitions and theorems, having little time left (or not enough knowledge) to understand the historical development or the research perspectives on the subject.
Is Algebraic Number Theory still an active area of research? I ask this because almost everything I read or hear about number theory from recent years seems to involve analytic methods (harmonic analysis, probability, ergodic theory etc.), which are not really my cup of tea.
Since I'm a more algebra-driven guy (meaning I'm instinctly attracted to things like Commutative Algebra, Algebraic Geometry, Galois Theory and, of course, Algebraic Number Theory), I wish there were still active lines of research in Number Theory using actual algebraic methods, at least for the most part.
I know this question is rather vague, but that's how well I'm able to articulate it right now, so any advice, insights, reading suggestions etc. would be greatly appreciated.