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

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

A new AI framework called THOR is transforming how scientists calculate the behavior of atoms inside materials. Instead of ...

The errors that quantum computers make are holding the technology back. But recent progress in quantum error correction has ...

Abstract: Recently, neural combinatorial optimization (NCO) methods have been prevailing for solving multiobjective combinatorial optimization problems (MOCOPs). Most NCO methods are based on the ...

When my cofounder and I were accepted into a competitive startup accelerator program in fall 2025, we applied with an ambitious idea: to build an “AI scientist” for machine learning research. What ...

Through the looking glass: In a field increasingly defined by quantum experiments and exotic materials, a physics team at Queen's University in Canada has shown that innovation can also come from the ...

For decades, the solution to harder problems has been ‘build a bigger computer’— but what if this is the wrong strategy altogether? This is because some problems defeat computers, not because they are ...

Traditionally, people in the business world laud entrepreneurs as visionaries—risk-takers, lone wolves with audacious ideas. Risk-taking, ambition and resilience are vital parts of becoming an ...

CAMBRIDGE, U.K. – A small Microsoft Research team had lofty goals when it set out four years ago to create an analog optical computer that would use light as a medium for solving complex problems.

How bees, beer cans and big data all solve the same problem: not enough space. By Steven Strogatz Photo illustrations by Jens Mortensen Each installment of “Math, Revealed” starts with an object, ...