Mathematician who reshaped number theory wins prestigious Abel prize

"Faltings was awarded the prize for work proving central results in the theory of algebraic equations linking whole numbers together. The prize highlights Faltings's work in 1983 on the theory of Diophantine equations, which are equations involving sums and powers of unknown numbers for which the solutions have to be rational - meaning they can be written as a fraction of two whole numbers, or integers."

"His proof confirmed a conjecture stated in 1922 by US mathematician Louis Mordell, which said that, except in special cases, such equations can have at most a finite set of solutions. This made a big splash in the mathematics community."

"The Abel Prize, now in its 24th year, is modelled after the Nobel Prizes and comes with an award of 7.5 million Norwegian Kroner (US$780,000). A colleague described his proof of Mordell's conjecture as one of the great moments in mathematics."

Gerd Faltings, a number theorist at the Max Planck Institute for Mathematics in Bonn, received the 2026 Abel Prize for his groundbreaking work on Diophantine equations and algebraic number theory. In 1983, Faltings proved Mordell's conjecture from 1922, which states that certain algebraic equations have at most finitely many rational solutions, except in special cases. This proof was considered a major breakthrough in mathematics, earning him a Fields Medal in 1986. The Abel Prize, worth 7.5 million Norwegian Kroner, recognizes his fundamental contributions to understanding equations linking whole numbers and their solutions.

Read at Nature