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 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.

First Proof is an effort to see whether LLMs can contribute meaningfully to pure mathematics research. The dust has settled on round one, and the results are surprising ...

A small share of employees drives a disproportionate share of employer health-care spending: They are patients whose complex ...

Many engineering challenges come down to the same headache—too many knobs to turn and too few chances to test them. Whether tuning a power grid or designing a safer vehicle, each evaluation can be ...

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 ...