I've played classical piano since I was 5 (so, 22 years now). I'm a senior software engineer and have always focused on math and development. I always thought

I've played classical piano since I was 5 (so, 22 years now). I'm a senior software engineer and have always focused on math and development. I always thought that classical music was extremely mathematical and, to me, made the most sense. However, I'm interested to hear how many of you are able to play jazz (or anything with improv). I studied under a jazz pianist in college and, although I had a decent grasp on the theories and chord structures, fell flat on my face during any form of improv. I play a lot of guitar as well, but the above remains true -- more rhythm guitar and "messing around with chords" and no "lead guitar" improv.