Elliptic Curves
A computationally focused introduction to elliptic curves and their connections to number theory and cryptography, taught at MIT. The course covers point-counting, isogenies, pairings, and the theory of complex multiplication, then applies these tools to concrete problems including integer factorization, primality proving, and elliptic curve cryptography. Materials follow MIT OpenCourseWare's standard format of lecture notes, problem sets, and readings that build from the algebraic structure of elliptic curves toward their modern computational uses. No enrollment or certificate is offered, but the full curriculum, assignments, and reference materials are published for self-study under MIT's open license, making it suitable for anyone with a background in abstract algebra and number theory who wants a rigorous, problem-driven treatment of the subject.