In Lockdown, Mathematicians Crack a Stubborn Geometry Riddle
The rectangular peg problem asks a seemingly simple question: Does a closed loop include the corners of every kind of rectangle?
Neural Networks Need a Cookbook. Here Are the Ingredients
We know very little about how neural networks actually work. But mathematicians are developing a theory to help make them more predictable.
Quantum Communication Can Travel Faster—It’s Not Just a Myth
A new experiment showed for the first time that quantum messages can indeed be speedier than what's seen in regular computing.
A Huge Achievement in Math Shows the Limits of Symmetries
A new proof resolves Zimmer’s conjecture, which has to do with what symmetries can exist in geometric spaces.
A Huge Achievement in Math Shows the Limits of Symmetries
A new proof resolves Zimmer’s conjecture, which has to do with what symmetries can exist in geometric spaces.
Finally, a Problem Only Quantum Computers Will Ever Be Able to Solve
Computer scientists have been searching for years for a type of problem that a quantum computer can solve but that any possible future classical computer cannot. Now they’ve found one.
A Classical Math Problem Gets Pulled Into Self-Driving Cars
A century ago, the great mathematician David Hilbert posed a probing question in pure mathematics. A recent advance in optimization theory is bringing Hilbert’s work into the modern world.
Exploring the Mirror Link Between Two Geometric Worlds
Decades after stumbling upon a stunning coincidence, researchers are close to understanding the link between two seemingly unrelated geometric universes.
Exploring the Mirror Link Between Two Geometric Worlds
Decades after stumbling upon a stunning coincidence, researchers are close to understanding the link between two seemingly unrelated geometric universes.
Mathematicians Second-Guess Centuries-Old Fluid Equations
Two mathematicians prove that under certain extreme conditions, the Navier-Stokes equations output nonsense.