Eric Weinstein proposes a Geometric Unity theory. It is presented to argue that the seemingly baroque features of the standard model of particle physics are in fact inexorable and geometrically ...

More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective. Arnold’s work was in an area of mathematics that ...

Within mathematics, there is a vast and ever expanding web of conjectures, theorems and ideas called the Langlands program. That program links seemingly disconnected subfields. It is such a force that ...

Recent advancements in thermodynamics have increasingly drawn on the language of differential geometry and systems control to reformulate classical principles. Geometric structures offer a rigorous ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...