Geometric representation theory is a vibrant field that unites methods from algebraic geometry, category theory and homological algebra to probe the symmetries and invariants arising from algebraic ...

Arnold’s work was in an area of mathematics that concerns all the different configurations a physical system like bouncing billiard balls or orbiting planets can take. These configurations are encoded ...

Geometric measure theory provides a rigorous framework for studying and quantifying the properties of sets and surfaces in Euclidean spaces. This discipline blends techniques from differential ...

One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook was a trip to the Social Security office. It was the fall of 2004 and the two of them were promising young graduate students in ...

Physicists have spent decades treating mass as something the universe simply hands to particles, a property encoded in ...

A new theory aims to explain how the complex vertebrate body, with its skeleton, muscles, nervous and cardiovascular systems, arises from a single cell during development and how these systems evolved ...

Researchers uncover geometric principles governing how particles self-assemble, solving a long-standing challenge in ...

During the latter part of the 20th century, string theory was put forward as a unifying theory of physics foundations. String theory has not, however, fulfilled expectations. That is why we are of the ...