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A type of symmetry so unusual that it was called a “pariah” turns out to have deep connections to number theory.

To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape.

The two physicists who introduced Peccei-Quinn symmetry came up with their idea on and around Stanford University’s campus 40 years ago.

For centuries, mathematicians tried to solve problems by adding new values to the usual numbers. Now they’re investigating the unintended consequences of that tinkering.

The theoretical particle physicist Helen Quinn has blazed a singular path from the early days of the Standard Model to the latest overhaul of science education in the United States.

A hint that neutrinos behave differently than antineutrinos suggests an answer to one the biggest questions in physics.

By blasting a stack of minerals with a four-meter-long gun, scientists have found a new clue about the backstory of a very strange rock.

Nature’s laws are beautiful because they strike a compromise between boring symmetry and confusing asymmetry, physicists say.

The Ukrainian mathematician Maryna Viazovska has solved the centuries-old sphere-packing problem in dimensions eight and 24.