Fermat’s Last Theorem is just the beginning. He further worked with Barry Mazur on the main conjecture of Iwasawa theory over the rational numbersand soon afterward, he generalised this result to totally real fields. The flaw in the proof cannot be simply explained however without rectifying fermta error, Fermat’s last theorem would remain unsolved. “I think I’ll stop here.” This is how, on 23rd of June, Andrew Wiles ended his series of lectures at the Isaac Newton Institute in Cambridge. This book will describe the recent proof of Fermat’s Last The- orem by Andrew Wiles, aided by Richard Taylor, for graduate students and faculty with a. British number theorist Andrew Wiles has received the Abel Prize for his solution to Fermat’s last theorem - a problem that stumped.