An Introduction to theTheory of Elliptic Curves
A nice introduction to the elliptic curves and their application to cryptography. https://www.math.brown.edu/~jhs/Presentations/WyomingEllipticCurve.pdf
The Shimura-Taniyama-Weil Conjecture
A nice introduction to the Shimura-Taniyama-Weil Conjecture and how it fits into the Langlands Program. https://www.ams.org/notices/199911/comm-darmon.pdf