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Will Computers Redefine the Roots of Math?
...mathematical arguments. Awodey, a mathematician and logician at Carnegie Mellon University in Pittsburgh, Pa., followed along as Voevodsky wrote a definition of a mathematical object using a new formalism he...
For Persi Diaconis’ Next Magic Trick …
...on its head. “The mathematics of any model for spatial mixing is in pretty bad shape,” Diaconis said. Diaconis hopes that the union of fluid-flow techniques and card-shuffling math might...
After Prime Proof, an Unlikely Star Rises
...of a mathematician? Intuition. Your feelings in math. What is that? It’s difficult to tell other people. That’s your personal stuff. Some of the big awards in math, particularly the...
Mathematicians Chase Moonshine’s Shadow
...monster group, a gargantuan algebraic object that, mathematicians believed, captured a new kind of symmetry. Mathematicians weren’t sure that the monster group actually existed, but they knew that if it...
Game Theory Calls Cooperation Into Question
...strategies were selfish ones that led to extortion, not cooperation. Plotkin found the duo’s math remarkable in its elegance. But the outcome troubled him. Nature includes numerous examples of cooperative...
Prime Gap Grows After Decades-Long Lull
...be. Paul Erdős, left, and Terence Tao discussing math in 1985. This past August, Tao and four other mathematicians proved an old Erdős conjecture, marking the first major advance in...
A Grand Vision for the Impossible
...mathematics,” he said. “I kind of realized that math was at the base of all these things; so why not study mathematics?” This change was for the best, Ratnaparkhi joked....
In Noisy Equations, One Who Heard Music
...of Mathematicians in Seoul, South Korea. The Fields is widely viewed as the highest honor a mathematician can receive. Hairer, a professor at the University of Warwick in England, has...
A Tenacious Explorer of Abstract Surfaces
...thesis resulted in three papers published in the three top journals of mathematics: Annals of Mathematics, Inventiones Mathematicae and Journal of the American Mathematical Society. The majority of mathematicians will...