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number theory

number theory

Mathematicians Chase Moonshine’s Shadow

Researchers are on the trail of a mysterious connection between number theory, algebra and string theory.

Mathematics

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.

Manjul Bhargava video
2014 Fields Medal and Nevanlinna Prize Winners

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.

number theory

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.

number theory

Mathematicians Shed Light on Elliptic Curves

Two young mathematicians are illuminating a frontier in the study of rational solutions to polynomial equations: the cubics.

Yitang Zhang
Mathematics

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.