On a personal note: I was working on my thesis at the time of Wiles’ proof. My thesis was concerned with investigating solutions to the Fermat equation in higher degree number fields. This led to some publications with Debarre and others. A question in one of those papers came to be known as the “Debarre-Klassen” conjecture. It states that: “any solutions to the equation a^n+b^n=c^n, with a,b,c in number fields of degree less than n-1, and with n>2 prime, must also lie on the line a+b=c.” This conjecture was proved for some small n, but is still open.

Matt Klassen

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