Masaki Kashiwara, this year’s Abel Prize winner, co-founded a new field of mathematics called algebraic analysis ...

For example, the equations of motion obey Galilean invariance, which means that they are invariant to inertial coordinate transformations. Many crystals obey crystal symmetry constraints ... Q is any ...

Crows can recognize geometric patterns, suggesting that humans aren't unique in understanding shape structure.

This important study shows how the relative importance of inter-species interactions in microbiomes can be inferred from empirical species abundance data. The methods based on statistical physics of ...

Protons minimize energy by forming pairs with opposite spin. Same for neutrons. Each pair acts like a particle in its own right. So nuclei act very differently depending on whether they have an even ...

In particular, he developed algebraic tools to solve tough problems such as differential equations, and he greatly extended the scope of the mathematical theory of symmetry known as representation ...

In pulmonary hypertension, a combination of metabolic and mechanical dysfunction leads to irreversible vascular damage.

Charge-parity violation is thought to explain why there’s more matter than antimatter in the universe. Scientists just spotted it in a new place.

Supersymmetry, a theory that posits every known elementary particle has a heavier “superpartner” particle, has been the superstar of theoretical physics for the past half century. Its ...