I took a Real Analysis course in my second year. I worked on an 'archive,' a paper that goes beyond the scope of the course. For my archive, I wrote a paper on p-adic topology. Later, I made slides for a presentation I gave at our university's math club.
The next year, I took a reading course in p-adic Analysis with Professor Ehsaan Hossain and created another presentation alongside my classmate Mustafa Motiwala and we presented that to a small group of students as part of our reading course. I also wrote a term paper titled Hensel's Lemma and The Hasse-Minkowski Principle.
That Summer, Mustafa and I continued our adventures into the p-adics by looking at Vonk and Darmon's paper titled singular moduli for real quadratic fields: a rigid analytic approach as another reading course with Professor Isabella Negrini. As a result, we created (and are still editting) an expository paper about the p-adic upper half plane.
I can't guarantee that my math is without mistakes. And I wouldn't be shocked if there were many typos. But it's all here, in case you're interested!