The details of my existence are both boring and irrelevant.
I have recently begun a series of (as far as I know) unsolved questions for other enthusiasts. I will try to keep a complete list of links to them below:
Product of Unit Quaternions Converging As a Series
Proper Nontrivial Ideals of Modular Lipshitz Quaternions (this question is now defunct. See part II.)
Ideals of Modular Lipshitz Quaternions II: Progress and New Questions
Irreducible Hurwitz Factorization of A Complex Polynomial
Repost of Problem 3 on MathOverflow