Superintegrable systems represent a fascinating class of models in both classical and quantum mechanics, characterised by the existence of more independent constants of motion than would be expected ...

Algebraic structures, such as groups, rings and fields, provide a rigorous language for expressing symmetry and invariance in numerous mathematical contexts. Their integration with the theory of ...

PNAS is the world's most-cited multidisciplinary scientific serial. It publishes high-impact research reports, commentaries, perspectives, reviews, colloquium papers, and actions of the Academy. In ...

[Hugo Hadfield] wrote to let us know about an intriguing series of talks that took place in February of this year at GAME2020, on the many applications of geometric algebra. The video playlist of ...

Let à denote a smooth compactification of the k-fold fiber product of the universal family A1 → M of elliptic curves with level N structure. The purpose of this paper is to completely describe the ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

Harvard Mathematics professor Lauren K. Williams has been awarded a 2025 MacArthur Fellowship for her groundbreaking research ...