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 ...

Mathematics and physics share a close, reciprocal relationship. Mathematics offers the language and tools to describe physical phenomena, while physics drives the development of new mathematical ideas ...

Hirzebruch's problem at the interface of topology and algebraic geometry has occupied mathematicians for more than 50 years. A professor of mathematics at the Ludwig-Maximilians-Universitaet in Munich ...

The Structure and Symmetry theme comprises researchers in algebra, geometry and topology, together with their interactions ...

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 ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

My primary research interests are in algebra and combinatorics. In particular, I work within the realm of combinatorial representation theory, attempting to connect combinatorial objects (such as ...

[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 ...