I'm currently an undergrad math student in my second year, I took a good bit of classes early (entered college with Calc 1-3 and Diffy Q done, plus some random basics like economics, photography, etc.) so I'd have the flexibilty to add majors/graduate early. I wanna do my PhD in maths, and I think I am good at it, I always get an -A/A in my math and other classes, do reading and thinking outside of whats required by the class, try and talk to profs and people online about math to build my understanding, etc. But i've seen a lot of threads claiming PHDs are a meme and talking about how its not worth it, im in the process of trying to get research experience by buttering up profs who have projects going with the hope of asking to join them (although I am full remote and corona has made it considerably harder), and applying for REU's in the upcoming summer. So I wanna hear about peoples experience to help make an informed decision about whether or not I should pursue my PhD or just finish up my math B.S in the next year and pick up something else like physics and try to go straight to industry.
