My most relevant work in mathematics is a project on the “Elementary proof on the order of magnitude of the prime-counting function”.
You can read my final thesis here, a 13-page supporting document for a 2h-long presentation.
This project was part of an Individual Studies course, based on the book “Introduction to Analytic Number Theory” by Tom M. Apostol, which you can read online for free. My faculty adviser was John B. Garnett, Professor at the UCLA Department of Mathematics.
In December 2016, I found an illustrative example while first reading about discrete mathematics, which I describe in a 2-page paper.