In the investment world, it’s common to discuss average rates of return. It’s not sufficient, however, to simply add up historical returns and divide by how many there are. Processing Content The ...

Arithmetic geometry, at its core, investigates the rich interplay between number theory and geometry. In the context of unitary groups—algebraic groups defined as the symmetries of Hermitian forms—the ...

Arithmetic geometry of elliptic curves combines algebraic geometry and number theory to investigate cubic curves of genus one endowed with a distinguished rational point. Such curves admit a group law ...

Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing ...

His proof of the Mordell conjecture helped pave the way for Fermat's Last Theorem Gerd Faltings, Director Emeritus at the Max Planck Institute for Mathematics in Germany, has been named the 2026 Abel ...