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 ...

Algebraic notation is the standard way chess players record their moves. By Isaac Aronow The standard method of recording moves in a chess game is known as algebraic notation. The name isn’t quite ...

Algebraic geometry in positive characteristic presents a rich and intricate landscape where classical techniques meet novel challenges associated with fields of prime order. This area synthesises ...

The study of algebraic entropy and topological dynamics occupies a central role in contemporary mathematics by uniting concepts from abstract algebra with the analysis of dynamical systems. Algebraic ...

Algebraic geometry is a branch of mathematics which, combines abstract algebra, especially commutative algebra, with geometry. It can be seen as the study of solution sets of systems of polynomials.

Eric Larson and Isabel Vogt have solved the interpolation problem — a centuries-old question about some of the most basic objects in geometry. Some credit goes to the chalkboard in their living room.

The bad news is that there is no single solution to Rule 16. There’s not even a daily solution, the puzzle will be different each time you play the game. So you’re going to have to do one of two ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...