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Machine Learning Becomes a Mathematical Collaborator

February 15, 2022

Two recent collaborations between mathematicians and DeepMind demonstrate the potential of machine learning to help researchers generate new mathematical conjectures.

Computer Scientists Prove Why Bigger Neural Networks Do Better

February 10, 2022

Two researchers show that for neural networks to be able to remember better, they need far more parameters than previously thought.

An Ancient Geometry Problem Falls to New Mathematical Techniques

February 8, 2022

Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized.

Mathematicians Prove 30-Year-Old André-Oort Conjecture

February 3, 2022

A team of mathematicians has solved an important question about how solutions to polynomial equations relate to sophisticated geometric objects called Shimura varieties.

Why Triangles Are Easy and Tetrahedra Are Hard

January 31, 2022

The triangle angle sum theorem makes working with triangles easy. What happens when you can’t rely on it?

How Infinite Series Reveal the Unity of Mathematics

January 24, 2022

Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.

Mathematicians Clear Hurdle in Quest to Decode Primes

January 13, 2022

Paul Nelson has solved the subconvexity problem, bringing mathematicians one step closer to understanding the Riemann hypothesis and the distribution of prime numbers.

Euler’s 243-Year-Old ‘Impossible’ Puzzle Gets a Quantum Solution

January 10, 2022

A surprising new solution to Leonhard Euler’s famous “36 officers puzzle” offers a novel way of encoding quantum information.

Qubits Can Be as Safe as Bits, Researchers Show

January 6, 2022

A new result shows that quantum information can theoretically be protected from errors just as well as classical information can.

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