Dear all, I am attending a taught postgrad programme starting next October. I can not decide whether to take the Algebraic Number Theory or the (additive/arithmetic) Combinatorics modules. My choice will determine my PhD route, so it is a choice of career rather than just a choice of courses. I am really interested in Combinatorics more than ANT. However, some of my professors are advising me to go for the ANT option because they claim that anybody can catch up with Combinatorics later in his life and because ANT is more challenging and respectable in the mathematical society these days. One should mention that my department has mostly Analysts and Alg. Numb. theorists in it (no one specializing in Combinatorics here :D). The aforementioned courses are almost mutually exclusive (in the sense that registering the Combinatorics courses will rule out most of the ANT courses due to lectures overlapping and vice versa.) Thus, I have to take a crisp decision. What do you think I should do?