In a new open-access study that I published with my late colleague Kostya Trachenko from Queen Mary University of London, I propose a surprisingly simple nonlinear mathematical equation that unifies ...

Can advanced mathematics decode the exotic geometries of a psychedelic trip to unlock a new science of reality?

Using mathematical modeling, Tarnita explores how animals self-organize in groups and what causes regular spatial patterns to ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

Algebraic structures lie at the heart of modern quantum theory, providing the language for observables, symmetries and state spaces. Operator algebras, notably C*-algebras and von Neumann algebras, ...

In addition to ascertaining that the internal vitality of the mathematical sciences is excellent, as illustrated in Chapter 2, the current study found a striking expansion in the impact of the ...