Arithmetic Theory of Elliptic Curves

Discover the profound insights of the Arithmetic Theory of Elliptic Curves by J. Coates, published in 1999. This essential volume presents expanded versions of lectures delivered at the C.I.M.E., making it a valuable resource for both research students and seasoned mathematicians. With a total of 264 pages, the book elegantly explores key topics in algebraic geometry and number theory, including the Birch and Swinnerton-Dyer conjecture, complex multiplication, Iwasawa theory, and modular curves. The clarity of exposition and carefully curated background material ensure that readers can grasp complex concepts with ease. Ideal for those delving into the intricate world of elliptic curves, this paperback edition is a must-have for anyone serious about advancing their knowledge in mathematics. Enhance your understanding of this fascinating subject with J. Coates' authoritative work.