The human connectome is the network of links between different parts of the brain. These links are mapped out by the brain’s white matter—bundles of nerve cell projections called axons that connect ...

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 ...

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 the recent work by ...

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.

One of the landmarks of Kyoto, the home of Japanese mathematician Masaki Kashiwara, is the Kamo River. At certain points, there are stepping stones that allow residents to cross the river away from ...

*Symbols in Algebra* (1961) is an **11-minute educational film** produced by Coronet. Through **animation and special film techniques**, the film explains how **algebraic symbols** allow us to ...

Proof is a way to show a statement is always true by using worded or algebraic reasoning. Higher tier – There are algebraic ways to describe odd, even and consecutive integers, which are needed for ...

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 ...