Back in 1996, surprised myself by figuring out a basic modular approach to packing of spheres, which seemed TOO SIMPLE. Now I realize that modular is just that powerful. But regardless DID write up a formal paper and sent off to a respected journal where the editor didn't even send it out for review. But I kept at my own amateur math research where now recognize was probably more of a compulsion than wish to admit.
So I invented tautological spaces December 1999, with x+y+vz = 0(mod x+y+vz) which was probably my most important tool discovery. Now I know that is key to allowing a true modular algebra where the math does algebraic manipulations. Back then was chasing Fermat's Last Theorem, which I now recognize is a boring problem, as Gauss himself noted. I thought he was...I didn't think he was serious about that. But now realize he was.
Of course I DID improve upon some of the research from Gauss by showing the most effective way to generally reduce a two-variable quadratic Diophantine equation which I'd done in 2008, by reducing from a three variable form. Which is really cool. But also I noticed that the prime count could be handled by a difference equation which lead to a partial differential equation, and I had the key to one of the biggest celebrity areas in number theory.
But my answer is not sexy apparently. Maybe because it IS simple. So yeah, I know why prime counts track as they do with continuous functions. Because I easily show how.
Of course I had that back in 2002.
Over and over again as I've solved things, have VASTLY simplified vast areas of number theory. And I realized long ago, was something that could put a lot of math people out of work. Well they kept working, by not acknowledging it. And now am like--shrug.
Modular techniques are so powerful they boggle the mind.
But hey, people have to eat, and pay their mortgages, and besides, my position in human history is set. Why worry too much about those fated to disappear in the history books?
SO many names of mathematicians where I quit thinking about it too much years ago. But yeah, after Gauss? Probably are in trouble.
And I'm NOT even a mathematician myself. I am a mathematical discoverer.
Where do things go from here?
Well thanks to the web, could watch as my ideas zipped around the globe. And could try to manage being known at a level most can't imagine.
Which is great!!! So they have no clue how it all actually works.
Have a world obsessed with celebrity where most have no clue about the internal machinery of it all. While I deconstructed--it all.
And focused on entertainment because I like being entertained. So am helping to improve it, globally. Also is just a nice thing for me to do, for my fellow humans beings, including entertainers.
The math does not care.
Soon enough human beings will simply use what is most effective and drop the crap that does not work. And am sure some historians will clean it all up in history books. And erase quite a few people from human history in the process because, well they didn't do anything of note, except have a certain success with wrong math.
Humanity is ok, regardless. And isn't that really all that is important? I think so.
And in my domain, I have...let's say I have the authority appropriate to my demonstrated ability.
Merit rules.
Oh yeah! Had LOTS of other major discovery where should at least note is really cool figured out how we should actually calculate the modular inverse.
The right way to do it really is a way where computers work well. Which doesn't surprise me.
Guess could trot out some other major discoveries. But at this point I have so many major discoveries struggle to keep up with how many. Or I could, but why bother?
Guess then is just a lack of motivation in that regard. Am more into things more fun now, you know?
James Harris