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 ...

Studia Logica: An International Journal for Symbolic Logic, Vol. 98, No. 1/2, Algebras Related to Non-classical Logic (June/July 2011), pp. 307-330 (24 pages) There is a constructive method to define ...

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 ...

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 ...

Can artificial intelligence allow computers to ensure safe autonomous systems and advance optimization? Two Princeton professors believe it can, and they received a research grant earlier this year to ...

Harvard Mathematics professor Lauren K. Williams has been awarded a 2025 MacArthur Fellowship for her groundbreaking research bridging theoretical mathematics and physics. Her work on algebraic ...

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 ...