👉 In my explanation, I'll focus on a key achievement in mathematics: the development and proof of Fermat's Last Theorem (FLT). In 1994, Andrew Wiles provided a rigorous proof of FLT for all integers n > 2, which had remained unsolved for over 350 years. Wiles' breakthrough involved connecting FLT to a special case of elliptic curves and modular forms, a deep area of number theory. He used advanced techniques from algebraic geometry and number theory, including the modularity theorem for semistable elliptic curves, to establish that no integer solutions exist for FLT beyond a certain threshold. This proof not only solved a centuries-old problem but also showcased the power of modern mathematical tools in tackling seemingly intractable problems, earning Wiles the Abel Prize and cementing his place in mathematical history.
