I've been reading about p-adic analysis lately, and am interested to work on a specific topic about it for my undergraduate thesis. However, almost all dissertations I've read online are too hard to grasp for an undergraduate.
Topics on p-adic hodge theory, p-adic etale cohomology, p-adic L functions, p-adic application on number theory cryptography, and perfectoid spaces are some interesting topics on p-adic. But those are quite out of reach for most of us, I would like to know if there had been any interesting results about those that could be stated and/or worked on by an undergraduate?
If not, could you suggest any results/consequences on p-adic workable by an undergraduate?
Thank you!