Peter Badge. Mathematics often feels like a collection of isolated islands. Each one operates with its own rules, and building bridges between them is notoriously difficult. Today, the Norwegian ...

Gerd Faltings shocked mathematicians around the world for his 1983 proof of the Mordell conjecture, which brought together ...

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

After years of creating highly specialized software, researchers used supercomputer clusters to finally solve the "100,000-body problem.

Scientists have solved a long-standing geometry problem by discovering the first compact Bonnet torus pair after over a ...

For over 150 years, a rule of thumb dating back to the French mathematician Pierre Ossian Bonnet has been accepted in surface ...

DeepMind’s AlphaProof system solved four out of six problems at the 2024 International Mathematical Olympiad, generating ...

Scientists at Fudan University, Peking University, and the Shanghai Academy of AI for Science (SAIS) used an artificial intelligence system called Packing Star to solve a 300-year-old maths problem ...

In recent years, the artificial intelligence (AI) landscape has shifted from quiet curiosity to relentless noise. Conference taglines, vendor solicitations, and slide decks all seem to begin with the ...

Amateur mathematicians are using artificial intelligence chatbots to solve long-standing problems, in a move that has taken professionals by surprise. While the problems in question aren’t the most ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that links ...

Abstract: Geometric insight may lead to a quick solution for a class of non-LQ optimal control problems. We illustrate this with a simple, inconspicuous-looking example. While necessary conditions for ...