Because if you think about the definition for a week and develop the theory it makes it much easier to actually read everything (you've already seen it!).
How come I've studied that much volume? Let's say a chapter is 30 pages (could be longer sometimes could be shorter but on an average). After thinking about the key theme of the chapter for 1 week it makes at least half of the chapter easy and then it takes about 3 more days to read the whole thing. So it takes about 10 days to read 30 pages, or 3 pages per day. It sometimes goes quicker and sometimes goes slower as I said.
I didn't want to sound like I'm great or anything. Just that people shouldn't come to conclusions before knowing the person. For all you know I could be a dog on Neptune connecting to the internet! There're so many people these days with a similar kind of background - they've done math young - in the US let alone across the world. In the US alone I do know 2-3 people PERSONALLY who've done that math. And to know that many people personally means there must be many more. The sole point is that people shouldn't decide something without knowing the person.
Similarly, you don't know how much math I've studied. I don't think I've done all that much anyway. But the point is that I have done something. (just an example, there's another guy on tis forum called tom1992 who was 14 when he learned topology (btw, I never said I was 14). see
https://www.physicsforums.com/showthread.php?t=152365 ).
The whole reason I started this thread was to get a sense of what kind of competition I'm up against when I apply to Harvard. Obviously the thread has blown up in a couple of directions which wasn't my intentions. this is unfortunate. I don't think I'm great and I never said that but what annoyed me was the way that people said stuff about me without knowing me. I'm not a troll. I don't need to prove this but I'm not. If i were making this stuff up I'd say I was a 5 year old who's published papers! I've self-admitted myself that I haven't published papers.
