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The Musical, Magical Number Theorist
The search for artistic truth and beauty has led Manjul Bhargava to some of the most profound recent discoveries in number theory, which have helped earn him the Fields Medal.
The New Science of Evolutionary Forecasting
Newly discovered patterns in evolution may help scientists make accurate short-term predictions.
A ‘Rebel’ Without a Ph.D.
A conversation with the mathematical physicist Freeman Dyson on quantum electrodynamics, climate change and his latest pet project.
A Fluid New Path in Grand Math Challenge
A daring speculation offers a potential way forward in one of the great unsolved problems of mathematics: the behavior of the Navier-Stokes equations for fluid flow.
A New Tool to Help Mathematicians Pack
Improvements in how densely spheres and other shapes can be packed together could lead to advances in materials science, deep space communication and theoretical physics.
Could Knots Unravel Mysteries of Fluid Flow?
By investigating the central role played by knots in fluids and fields, physicists hope to unravel long-standing mysteries of turbulence.
To Settle Infinity Dispute, a New Law of Logic
To determine the nature of infinity, mathematicians face a choice between two new logical axioms. What they decide could help shape the future of mathematical truth.
Together and Alone, Closing the Prime Gap
Working on the centuries-old twin primes conjecture, two solitary researchers and a massive collaboration have made enormous advances over the last six months.
The Mathematical Shape of Things to Come
Scientific data sets are becoming more dynamic, requiring new mathematical techniques on par with the invention of calculus.