What Is the Positive Grassmannian and Why Does It Show Up Everywhere?

The positive Grassmannian is an algebraic structure that reveals itself across physics, geometry, and optimization — a mathematical object with surprising ubiquity. According to Quanta Magazine, mathematician Lauren Williams explores how studying this fundamental concept in algebraic combinatorics led to a career of unexpected discoveries. What began as abstract mathematics became a bridge between distant fields, showing that the most elegant insights often emerge from the intersection of pure theory and real-world application.

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