"The conjecture discovered jointly by Peter Swinnerton-Dyer and Bryan Birch in the early 1960s both surprised the math…"

"Just as Weil's conjectures were about counting solutions to equations in a situation where the number of solutions is…"

"Thanks to their conjecture, Birch and Swinnerton-Dyer are two names that (to mathematicians) are as inextricably link…"

"Admittedly, Fermat's Last Theorem was always called a theorem and never a conjecture. But that is unusual, and probab…"

"The Wiles proof is a master symphony of the major mathematical themes that have evolved in this century: Hecke's theo…"

"FLT deserves a special place in the history of civilization. Because of its simplicity, it has tantalized amateurs an…"

"The twin conjectures of Hodge and Tate have a status in algebraic and arithmetic geometry similar to that of the Riem…"

"A substantial portion of Weil’s research was motivated by an effort to prove the Riemann hypothesis concerning the ze…"

"It tells us that they are very nicely distributed, about as evenly and as good as altogether possible. One cannot exp…"

"The dependence of so many results on Riemann's challenge is why mathematicians refer to it as a hypothesis rather tha…"