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Mathematics

geometry

An Ancient Geometry Problem Falls to New Mathematical Techniques

By Steve Nadis
February 8, 2022
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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.

number theory

Mathematicians Prove 30-Year-Old André-Oort Conjecture

By Leila Sloman
February 3, 2022
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A team of mathematicians has solved an important question about how solutions to polynomial equations relate to sophisticated geometric objects called Shimura varieties.

Quantized Academy

Why Triangles Are Easy and Tetrahedra Are Hard

By Patrick Honner
January 31, 2022
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The triangle angle sum theorem makes working with triangles easy. What happens when you can’t rely on it?

Quantized Columns

How Infinite Series Reveal the Unity of Mathematics

By Steven Strogatz
January 24, 2022
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Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.

number theory

Mathematicians Clear Hurdle in Quest to Decode Primes

By Kevin Hartnett
January 13, 2022
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Paul Nelson has solved the subconvexity problem, bringing mathematicians one step closer to understanding the Riemann hypothesis and the distribution of prime numbers.

Blurry figures representing quantum officers are arranged in a grid against a black background.
mathematical physics

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

By Daniel Garisto
January 10, 2022
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A surprising new solution to Leonhard Euler’s famous “36 officers puzzle” offers a novel way of encoding quantum information.

Illustration of two interweaving chains, one blue and one orange, against a blue background.
information theory

Qubits Can Be as Safe as Bits, Researchers Show

By Mordechai Rorvig
January 6, 2022
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A new result shows that quantum information can theoretically be protected from errors just as well as classical information can.

An illustration of a flashlight whose beam illuminates graphs and numbers.
number theory

Mathematicians Outwit Hidden Number Conspiracy

By Jordana Cepelewicz
January 3, 2022
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Decades ago, a mathematician posed a warmup problem for some of the most difficult questions about prime numbers. It turned out to be just as difficult to solve, until now.

2021 in Review

The Year in Math and Computer Science

By Bill Andrews
December 23, 2021
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Mathematicians and computer scientists answered major questions in topology, set theory and even physics, even as computers continued to grow more capable.


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