After 30 months of fast-paced innovation in quantum algorithms, six research groups are hoping to hit paydirt. But there can ...

An exclusive conversation with OpenAI’s chief scientist, Jakub Pachocki, about his firm's new grand challenge and the future of AI.

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.

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 ...

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.

A line of engineering research seeks to develop computers that can tackle a class of challenges called combinatorial optimization problems. These are common in real-world applications such as ...

Solving optimization problems is challenging for existing digital computers and even for future quantum hardware. The practical importance of diverse problems, from healthcare to financial ...

ABSTRACT: This study focuses on the numerical investigation of fluid flow, heat transfer, and free MHD convection through a semi-infinite vertical porous plate, considering the effects of chemical ...