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Number theory
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Mathematicians Chase Moonshine’s Shadow
Researchers are on the trail of a mysterious connection between number theory, algebra and string theory.
Prime Gap Grows After Decades-Long Lull
A year after tackling how close together prime number pairs can stay, mathematicians have now made the first major advance in 76 years in understanding how far apart primes can be.
The Musical, Magical Number Theorist
The search for artistic truth and beauty has led Manjul Bhargava to some of the most profound recent discoveries in number theory, which have helped earn him the Fields Medal.
Together and Alone, Closing the Prime Gap
Working on the centuries-old twin primes conjecture, two solitary researchers and a massive collaboration have made enormous advances over the last six months.
Mathematicians Shed Light on Minimalist Conjecture
Two young mathematicians are illuminating a frontier in the study of rational solutions to polynomial equations: the cubics.
Unheralded Mathematician Bridges the Prime Gap
A virtually unknown researcher has made a great advance in one of mathematics’ oldest problems, the twin primes conjecture.