I've had quite a journey since quitting, so sorry for the long post!<p>I worked at a company writing mathematical software for 8 years. The work was interesting, but I kept feeling there was a deeper way of thinking about some particular topic I was working on (e.g. data science, array programming, visualization, deep learning). Unfortunately, writing production code didn't leave me the time and energy to pursue these "deeper truths". Thinking deeply takes a lot of time!<p>It was a hugely difficult decision, but in 2018 I quit, without much of a plan. I attended some summer schools in different things, taught at some other summer schools, started reading papers and watching lectures on youtube about things that interested me. I trained with a friend to get a job as research engineer at DeepMind, but when it came time to apply, I worried I'd repeat the same pattern as before if I got the job. So I got cold feet.<p>The second decision, even more difficult, was to trust my instincts that I could learn topics and work on my own proto-ideas independently without the imprimatur of a PhD program or industrial lab. I had saved money, and I had enough runway for a couple years.<p>I have roughly 3 ideas in me that I need to formalize -- or die trying (meaning run out of money). I have cute names for them: hyperbooks, algebraic arrays, and discrete geometry. I'm working on the last one right now [1].<p>My inspiration was people like Andrew Kelley (author of Zig), and Rich Hickey (author of Clojure). They just did the things they believed in, worked hard, and have contributed something useful and novel to the world. Of course, I don't know if what I'm working on will be useful to others, but I have reason to be hopeful.<p>If one of my ideas succeeds, I'll be able to find a way to make a living off of it somehow. If they all fail, I'll have learned an enormous amount, had an adventure, and I can still go back to the ordinary career path.<p>In the end, the fundamental question was: "do I believe in an idea enough to pay my own salary to work on it?" Realizing I could honestly answer "yes" was a profound inflection point in my life.<p>[1]: <a href="https://quivergeometry.net" rel="nofollow">https://quivergeometry.net</a>