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Riemann hypothesis

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Abstractions blog

In Mathematics, It Often Takes a Good Map to Find Answers

June 1, 2020

Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead.

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Quantized Columns

Remembering the Unstoppable Freeman Dyson

April 13, 2020

Freeman Dyson — physicist, mathematician, writer and idea factory — died on February 28, but his vitality lives on.

Multimedia

The Map of Mathematics

February 13, 2020

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

Art for "The Subtle Art of the Mathematical Conjecture"
Quantized Columns

The Subtle Art of the Mathematical Conjecture

May 7, 2019

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.

Art for "In the Universe of Equations, Virtually All Are Prime"
number theory

In the Universe of Equations, Virtually All Are Prime

December 10, 2018

Equations, like numbers, cannot always be split into simpler elements.

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In Theory

The Universal Pattern Popping Up in Math, Physics and Biology

August 23, 2018

Quanta’s In Theory video series returns with an exploration of a mysterious mathematical pattern found throughout nature.

Photo illustration of Akshay Venkatesh
2018 Fields Medal and Nevanlinna Prize

A Number Theorist Who Bridges Math and Time

August 1, 2018

Akshay Venkatesh, a former prodigy who struggled with the genius stereotype, has won a Fields Medal for his “profound contributions to an exceptionally broad range of subjects in mathematics.”

Art for "Three Decades Later, Mystery Numbers Explained"
Abstractions blog

Three Decades Later, Mystery Numbers Explained

May 3, 2018

Zeta values seem to connect distant geometric worlds. In a new proof, mathematicians finally explain why.

Abstractions blog

Physicists Attack Math’s $1,000,000 Question

April 4, 2017

Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system.