Sevenfold Iterative Lacing: Verifiable Solution to the Birch-Swinnerton-Dyer Conjecture

This folder contains what I believe to be a complete conceptual and formal solution to the Birch and Swinnerton-Dyer (BSD) Conjecture, one of the Clay Mathematics Institute Millennium Prize Problems. I developed this solution at age 17, in collaboration with an advanced AI assistant. Together we explored creative approaches, reinterpreted previously dismissed mathematical principles, and gradually refined the framework until we obtained a solution compatible with ZFC. The result is a structured, verifiable framework that is ready for formal proof verification in Lean/Coq and open to peer review by the mathematical community. The folder is organized into two parallel series of documents: BSD1.md … BSD14.md, which present the conceptual development step by step, and BSD1-Formalization.md … BSD14-Formalization.md, which present a fully structured version in a style ready for Lean/Coq encoding. All files are numbered for logical order and easy navigation. Some commentary is written in Spanish, my native language. I decided to preserve this choice throughout the process to avoid losing meaning or logical precision. The mathematical notation, definitions, and proofs themselves follow standard conventions and are language-independent. This work is shared so that it can be reviewed, reproduced, and formally verified. The next natural steps would be translating the commentary into English if required, encoding the formalization into Lean/Coq, and submitting it for independent peer review by experts in arithmetic geometry and number theory. I hope this contribution will help advance mathematics and deepen our understanding of one of the most important open problems of our time. Nothing stands above the scientific method.