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symmetry

A famously difficult mathematical problem resisted solution for over 40 years. Mathematicians have finally resolved it by following an intuition that links number theory to physics.
Abstractions blog

Mathematicians Crack the Cursed Curve

A famously difficult mathematical problem resisted solution for over 40 years. Mathematicians have finally resolved it by following an intuition that links number theory to physics.

An eminent mathematician reveals that his advances in the study of millennia-old mathematical questions owe to concepts derived from physics.
number theory

Secret Link Uncovered Between Pure Math and Physics

An eminent mathematician reveals that his advances in the study of millennia-old mathematical questions owe to concepts derived from physics.

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

Mathematicians Find Moonshine Link for Pariah Symmetries

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.
Quantized Academy

Symmetry, Algebra and the Monster

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.
Thinking Places

Roberto Peccei and Helen Quinn, Driving Around Stanford in a Clunky Jeep

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.
number theory

New Number Systems Seek Their Lost Primes

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.
Pencils Down: Experiments in Education

A Wormhole Between Physics and Education

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.
particle physics

Neutrinos Hint of Matter-Antimatter Rift

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.
Abstractions blog

A Quasicrystal’s Shocking Origin

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.