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A Plan to Address the World’s Challenges With Math
Minhyong Kim is leading a new initiative called Mathematics for Humanity that encourages mathematicians to apply their skills to solving social problems.
Why Mathematicians Re-Prove What They Already Know
It’s been known for thousands of years that the primes go on forever, but new proofs give fresh insights into how theorems depend on one another.
The Number 15 Describes the Secret Limit of an Infinite Grid
The “packing coloring” problem asks how many numbers are needed to fill an infinite grid so that identical numbers never get too close to one another. A new computer-assisted proof finds a surprisingly straightforward answer.
Mathematicians Find Hidden Structure in a Common Type of Space
In 50 years of searching, mathematicians found only one example of a “subspace design” in a vector space. A new proof reveals that there are infinitely more out there.
How to Tame the Infinities Hiding in the Heart of Particle Physics
In the math of particle physics, every calculation should result in infinity. The set of techniques known as “resurgence” points toward an escape.