One of my telling finds is the BQD Iterator, a simple connector of integers, found through using what I call tautological spaces, which are simply complex identities. Also, found my own way to count prime numbers which leads to a partial differential equation. And even found a third primary way to calculate the modular inverse.

Those are just some of my math. Rely much on use of abstract reductionism. Focused on discovery and the pursuit of truth. Self describe as a meta innovator.

Innovation in math also intrigues me as part of a meta process, and the question of, how do we know?

Found myself trying modern problem solving techniques like brainstorming against old math problems, just curious and to keep my mind occupied. And spent a lot of time in past on Usenet as could use as a sounding board for ideas. Had some spectacular failures, especially around Fermat's Last Theorem where long ago happily abandoned research on it.

Have innovated much with a process which I call abstract reductionism, where I formalize methods for analytical analysis, removing a lot of the guesswork. Much of that involves what I call modular symbology which includes modular algebra, which allows the mathematics to check an equation an infinite number of ways for me, so I don't need to bother. So many results now, find hard to list them all out, so just kind of highlight a few things.

Grew up Southern I like to say in Tift County near a little city called Tifton, GA, USA. Like the small town values, especially the emphasis on hard work and earning your way. I believe merit matters.

And am NOT a mathematician. I do have an undergraduate degree in physics from Vanderbilt University.

Questions drive me.

Answers can be fun, but really what keeps you up at night?

Those things, I think, are usually the questions.

Profile picture where oddly enough whether looks like am smiling slightly or frowning slightly? Is all about YOUR mood.

James Harris