Science
fromNature
15 hours agoMathematician who reshaped number theory wins prestigious Abel prize
Gerd Faltings won the 2026 Abel Prize for proving Mordell's conjecture about Diophantine equations having finitely many rational solutions.
One of the first theorems anyone learns in mathematics is the Pythagorean Theorem: if you have a right triangle, then the square of the longest side (the hypotenuse) will always equal the sums of the squares of the other two sides. The first integer combination that this works for is a triangle with sides 3, 4, and 5: 3 + 4 = 5.