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Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others.
A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems.
Mathematicians have figured out how to expand the reach of a mysterious bridge connecting two distant continents in the mathematical world.
A new statistical model appears to undermine long-held assumptions in number theory. How much should it be trusted when all that really matters is proof?
The 30-year-old math sensation Peter Scholze is now one of the youngest Fields medalists for “the revolution that he launched in arithmetic geometry.”
A type of symmetry so unusual that it was called a “pariah” turns out to have deep connections to number theory.
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