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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 Beautiful Mathematical Explorations of Maryam Mirzakhani
After her untimely death, Maryam Mirzakhani’s life is best remembered through her work.
Quantum Questions Inspire New Math
In order to fully understand the quantum world, we may have to develop a new realm of mathematics.
Inside the Knotty World of ‘Anyon’ Particles
A new class of quantum particle is about to emerge from the tangled considerations of quantum statistics.
Using Mathematics to Repair a Masterpiece
The author shows how new mathematical techniques can be used to revitalize a 650-year-old work of art.
How Feynman Diagrams Almost Saved Space
Richard Feynman's famous diagrams weren’t just a way to do calculations. They represented a deep shift in thinking about how the universe is put together.
Entanglement Made Simple
How quantum entanglement connects with the “many worlds” of quantum theory.
Is AlphaGo Really Such a Big Deal?
The Go-playing program teaches itself to replicate something very much like human intuition, an advance that promises far-reaching consequences.
Deep Secrets and the Thrill of Discovery
The biologist Sean B. Carroll rediscovers the scientific thrill of an unexpected revelation.