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26 matches for “math”

Science Quanta Magazine

Fields and Abacus Medals 2026

Every four years, the math world’s preeminent awards are given to the finest minds of a generation. The young winners — all under 40 on the first day of the year — have reshaped mathematics and theoretical computer science. Here are their stories. The post…

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Science Quanta Magazine

Living Fully in the Math World Means Threading the Needle

Focus, commitment, and insight resulted in a “once in a century” proof. Hong Wang is now just the third woman to win a Fields Medal. The post Living Fully in the Math World Means Threading the Needle first appeared on Quanta Magazine

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Research arXiv

Lipschitzian SLLNs for random functions

We prove strong laws of large numbers for locally Lipschitz functions in the Lipschitz pseudometric. Our results hold under either a topological or a model-theoretic condition, with the latter encompassing functions jointly definable in o-minimal structures…

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Science Quanta Magazine

Sometimes Being First Means Seeing the End Before Anyone Else

Determination and effort propelled Jacob Tsimerman to the top of the math world. But now that he’s won a Fields Medal, he worries that the field is in jeopardy. The post Sometimes Being First Means Seeing the End Before Anyone Else first appeared on Quanta…

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Research arXiv

1-Lipschitz Neural Networks on Hadamard Manifolds

Controlling the Lipschitz constant of a neural network is a standard way to promote robustness and stability. Most existing constraining strategies are designed for Euclidean spaces. In this work, we construct and analyze a class of 1-Lipschitz neural…

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