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Isadore Singer Transcended Mathematical Boundaries
A former graduate student reflects on how Isadore Singer, who died on February 11, brought together mathematicians, physicists and anyone else interested in the deeper connections between diverse fields.
A Mathematician’s Unanticipated Journey Through the Physical World
Lauren Williams has charted an adventurous mathematical career out of the pieces of a fundamental object called the positive Grassmannian.
Scientists Uncover the Universal Geometry of Geology
An exercise in pure mathematics has led to a wide-ranging theory of how the world comes together.
How Mathematical ‘Hocus-Pocus’ Saved Particle Physics
Renormalization has become perhaps the single most important advance in theoretical physics in 50 years.
The Mathematical Structure of Particle Collisions Comes Into View
Physicists have identified an algebraic structure underlying the messy mathematics of particle collisions. Some hope it will lead to a more elegant theory of the natural world.
New Math Proves That a Special Kind of Space-Time Is Unstable
Einstein’s equations describe three canonical configurations of space-time. Now one of these three — important in the study of quantum gravity — has been shown to be inherently unstable.