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Mathematician Proves Huge Result on ‘Dangerous’ Problem
Mathematicians regard the Collatz conjecture as a quagmire and warn each other to stay away. But now Terence Tao has made more progress than anyone in decades. Experienced mathematicians warn...
John Conway Solved Mathematical Problems With His Bare Hands
The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation. In modern mathematics, many of the biggest advances are great...
The Mathematical Structure of Particle Collisions Comes Into View
Physicists have identified an algebraic structure underlying the messy mathematics of particle collisions. Some hope it will lead to a more elegant theory of the natural world. When particle physicists...
Conducting the Mathematical Orchestra From the Middle
...the viola creates a richer orchestral sound, “there’s a sense in which category theory makes mathematics deeper,” she said. The categorical perspective emerged in mathematics in 1945 when Samuel Eilenberg...
Mathematicians Settle Erdős Coloring Conjecture
Fifty years ago, Paul Erdős and two other mathematicians came up with a graph theory problem that they thought they might solve on the spot. A team of mathematicians has...
Mathematicians Prove Symmetry of Phase Transitions
A group of mathematicians has shown that at critical moments, a symmetry called rotational invariance is a universal property across many physical systems. For more than 50 years, mathematicians have...
Mathematicians Prove Melting Ice Stays Smooth
...is. Soapy Inspiration In the decade before mathematicians began to understand the ice melting equations, they made tremendous progress on the mathematics of soap films. If you dip two wire...
Mathematicians Outwit Hidden Number Conspiracy
Decades ago, a mathematician posed a warmup problem for some of the most difficult questions about prime numbers. It turned out to be just as difficult to solve, until now....
Mathematicians Clear Hurdle in Quest to Decode Primes
...video detailing just how it works.) In the years since Riemann proposed it, the Riemann hypothesis has instigated many advances in mathematics, though mathematicians have made little progress on the...