This field examines the interplay between algebraic systems—such as groups, rings, fields and modules—and the powerful analytical framework provided by local-global principles. These principles offer ...

Algebraic supergroups and supergeometry represent a profound synthesis of algebraic geometry and supersymmetry, offering a comprehensive framework for understanding symmetries that extend classical ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

Wei Ho, the first director of the Women and Mathematics program at the Institute for Advanced Study, combines algebra and geometry in her work on an ancient class of curves. Like many people who would ...