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New Quantum Algorithms Finally Crack Nonlinear Equations
Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.
A Mathematician’s Unanticipated Journey Through the Physical World
Lauren Williams has charted an adventurous mathematical career out of the pieces of a fundamental object called the positive Grassmannian.
An Unexpected Twist Lights Up the Secrets of Turbulence
Having solved a central mystery about the “twirliness” of tornadoes and other types of vortices, William Irvine has set his sights on turbulence, the white whale of classical physics.
The Map of Mathematics
Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.
The Grand Unified Theory of Rogue Waves
Rogue waves — enigmatic giants of the sea — were thought to be caused by two different mechanisms. But a new idea that borrows from the hinterlands of probability theory has the potential to predict them all.
Mathematicians Prove Universal Law of Turbulence
By exploiting randomness, three mathematicians have proved an elegant law that underlies the chaotic motion of turbulent systems.
For Fluid Equations, a Steady Flow of Progress
A startling experimental discovery about how fluids behave started a wave of important mathematical proofs.
Famous Fluid Equations Spring a Leak
Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one.
Bubble Experiment Finds Universal Laws
Physicists have found examples of “universality” in a system of confined bubbles. The work could help researchers understand the strange behavior of singularities.