I am an undergrad and a huge algebra nut, but to be honest I also love analysis. Not just "soft analysis" mind you, but "hard analysis" (for those unfamiliar with the terms). When I tell people I love both analysis and algebra, they tell me I should look into some C* algebra stuff and I have also gotten recommendations to learn about condensed math. But as far as I can tell the latter especially is much more on the soft side. If I could be in an area of research where I could be thinking about screwy continuity arguments one moment, and polynomial rings and categories the next, I would be happy as a clam. But it does seem like I may have to suck it up and pick one thing. I have not yet found anything that totally involves both, but I am a mathematical neanderthal, so I am asking here out of curiosity is there something that isn't just "in between," but actively pulls from both extremes. Thank you! submitted by /u/RyRytheguy [link] [comments]