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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....
Amie Wilkinson Sees the Dynamic Chaos in Puff Pastry
...10-chain. I don’t know. Well, I mean, that’s a huge component of what I do as a mathematician. Not all pure mathematicians think that way, but that’s what sets me...
How Is Science Even Possible?
How are scientists able to crack fundamental questions about nature and life? How does math make the complex cosmos understandable? In this episode, the physicist Nigel Goldenfeld and co-host Steven...
A Computer Scientist Who Tackles Inequality Through Algorithms
...the optimal solution.” Does your math background still help? Math and theoretical computer science force you to be precise. Ambiguity is a bug in mathematics. If I give you a...
How to Solve Equations That Are Stubborn as a Goat
Math teachers have stymied students for hundreds of years by sticking goats in strangely shaped fields. Learn why one grazing goat problem has stumped mathematicians for more than a century....