👉 Keith Math, developed by Andrew Wiles and his collaborators, is a sophisticated mathematical framework that combines advanced concepts from number theory, algebraic geometry, and modular forms to prove Fermat's Last Theorem (FLT). FLT states that no three positive integers \(a\), \(b\), and \(c\) satisfy \(a^n + b^n = c^n\) for \(n > 2\). The key idea in Keith Math is the "modularity theorem," which establishes a deep connection between elliptic curves and modular forms, essentially showing that certain types of elliptic curves (related to FLT) can be associated with modular forms. By proving that these two seemingly unrelated mathematical objects are equivalent, Keith Math provides a powerful tool to analyze and resolve FLT. The proof is intricate, involving sophisticated techniques like Galois representations, deformation theory, and the study of Hecke operators, ultimately leading to a proof that not only disproves FLT for all \(n > 2\) but also reveals profound insights into the nature of numbers and their relationships.
