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How Do Mathematicians Know Their Proofs Are Correct?
What makes a proof stronger than a guess? What does evidence look like in the realm of mathematical abstraction? Hear the mathematician Melanie Matchett Wood explain how probability helps to guide number theorists toward certainty.
Mass and Angular Momentum, Left Ambiguous by Einstein, Get Defined
Surprising as it may sound, 107 years after the introduction of general relativity, the meanings of basic concepts are still being worked out.
Embryo Cells Set Patterns for Growth by Pushing and Pulling
Patterns that guide the development of feathers and other features can be set by mechanical forces in the embryo, not just by gradients of chemicals.
Quantum Algorithms Conquer a New Kind of Problem
Computer scientists have found a new type of problem that quantum computers can solve dramatically faster than their classical counterparts.
The Scientist Who Developed a New Way to Understand Communication
Mark Braverman has spent his career translating thorny problems into the language of information complexity.
A Solver of the Hardest Easy Problems About Prime Numbers
On his way to winning a Fields Medal, James Maynard has cut a path through simple-sounding questions about prime numbers that have stumped mathematicians for centuries.
For His Sporting Approach to Math, a Fields Medal
With Hugo Duminil-Copin, thinking rarely happens without moving. His insights into the flow-related properties of complex networks have earned him the Fields Medal.
He Dropped Out to Become a Poet. Now He’s Won a Fields Medal.
June Huh wasn’t interested in mathematics until a chance encounter during his sixth year of college. Now his profound insights connecting combinatorics and geometry have led to math’s highest honor.
In Times of Scarcity, War and Peace, a Ukrainian Finds the Magic in Math
With her homeland mired in war, the sphere-packing number theorist Maryna Viazovska has become the second woman to win a Fields Medal in the award’s 86-year history.