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number theory

A mathematical graph with plant roots.
number theory

New Proof Illuminates the Hidden Structure of Common Equations

By Leila Sloman
April 21, 2022
Read Later

Van der Waerden’s conjecture mystified mathematicians for 85 years. Its solution shows how polynomial roots relate to one another.

Q&A

In Music and Math, Lillian Pierce Builds Landscapes

By Jordana Cepelewicz
March 30, 2022
Read Later

Lillian Pierce wants to transform access to the world of mathematics, while making headway on problems that bridge the discrete and continuous.

A rectangle broken up into five fractions.
number theory

Math’s ‘Oldest Problem Ever’ Gets a New Answer

By Jordana Cepelewicz
March 9, 2022
Read Later

A new proof significantly strengthens a decades-old result about the ubiquity of ways to represent whole numbers as sums of unit fractions.

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.

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.

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

Mathematicians Outwit Hidden Number Conspiracy

By Jordana Cepelewicz
January 3, 2022
Read Later

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.

Quantized Academy

What Hot Dogs Can Teach Us About Number Theory

By Patrick Honner
November 18, 2021
Read Later

The Chinese remainder theorem is an ancient and powerful extension of the simple math of least common multiples.

Color photo of Ana Caraiani in a black coat standing on a bridge
Q&A

The Mathematician Who Delights in Building Bridges

By Steve Nadis
November 17, 2021
Read Later

Ana Caraiani seeks to unify mathematics through her work on the ambitious Langlands program.


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