Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry.

Mathematics is one of the oldest disciplines of study. For all its antiquity, however, it is a modern, rapidly growing field. Only 70 years ago, mathematics might have been said to consist of algebra, ...

Mathematics often feels like a collection of isolated islands. Each one operates with its own rules, and building bridges ...

When two mathematicians raised pointed questions about a classic proof that no one really understood, they ignited a years-long debate about how much could be trusted in a new kind of geometry. In the ...

When students are genuinely curious about new concepts and ideas, they develop their own study skills, says Professor Pekka Pankka. Geometry, Algebra, and Topology are pure mathematics and essential ...

Computers are extremely good with numbers, but they haven’t gotten many human mathematicians fired. Until recently, they could barely hold their own in high school-level math competitions. But now ...

Six mathematicians from the United States, Europe and Canada have emerged as leading contenders for the 2026 Fields Medal, ...

A team at Los Alamos National Laboratory has completed a mathematical framework for human color perception that Nobel Prize-winning physicist Erwin Schrodinger first sketched more than a century ago.