Hello, I am currently an undergrad mathematics major who is still unsure in exactly what field of mathematics to study post grad (if I get such an opportunity). All the subjects I have taken so far seem equally interesting, and I could see myself engaging in post grad study in each of the areas, but that is sadly not likely to happen. Despite me desiring to be a pure mathematician, as a way of narrowing things down I have decided to go into an area that would have the most applications and such (just to make my potential field seem a little more fulfilling). I thus ask if you all may answer these three questions if possible. 1) what are the major real-world applications of each of the najor math subjects? 2)While you can say that one subject has applications in one area, but how important are they really? I feel like they can sometimes be over exaggerated. 3)One thing that really interests me is artificial intelligence/consciousness and computer science in general. What math subjects would have the most important contributions to these areas? I realize that a lot of mathematicians do it just for the math itself, but having the answers to these questions, would put the icing on the cake that I could choose to eat (lame analogy). Thanks in advance for Any response!!