Latest Articles
New Proofs Probe Soap-Film Singularities
Mathematicians have broken through a long-standing barrier in the study of “minimizing surfaces,” which play an important role in both math and physics.
In a First, AI Models Analyze Language As Well As a Human Expert
If language is what makes us human, what does it mean now that large language models have gained “metalinguistic” abilities?
Researchers Discover the Optimal Way To Optimize
The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better.
A New Geometry for Einstein’s Theory of Relativity
A team of mathematicians based in Vienna is developing tools to extend the scope of general relativity.
The Fastest Way Yet to Color Graphs
Researchers have devised a scheme for painting the edges of a graph that’s almost as speedy as possible.
Improving Deep Learning With a Little Help From Physics
Rose Yu has a plan for how to make AI better, faster and smarter — and it’s already yielding results.
A New Proof Smooths Out the Math of Melting
A powerful mathematical technique is used to model melting ice and other phenomena. But it has long been imperiled by certain “nightmare scenarios.” A new proof has removed that obstacle.
Undergraduate Upends a 40-Year-Old Data Science Conjecture
A young computer scientist and two colleagues show that searches within data structures called hash tables can be much faster than previously deemed possible.
Cosmologists Try a New Way to Measure the Shape of the Universe
Is the universe flat and infinite, or something more complex? We can’t say for sure, but a new search strategy is mapping out the subtle signals that could reveal if the universe has a shape.