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Simple math can help scheming politicians manipulate district maps and cruise to victory. But it can also help identify and fix the problem.
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The Math Behind Gerrymandering and Wasted Votes

Simple math can help scheming politicians manipulate district maps and cruise to victory. But it can also help identify and fix the problem.

Every exquisite drawing by Santiago Ramón y Cajal, the founder of modern neuroscience, is marred by a curious mark. Here is the little-known story behind it.
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Why the First Drawings of Neurons Were Defaced

Every exquisite drawing by Santiago Ramón y Cajal, the founder of modern neuroscience, is marred by a curious mark. Here is the little-known story behind it.

Reductionism breaks the world into elementary building blocks. Emergence finds the simple laws that arise out of complexity. These two complementary ways of viewing the universe come together in modern theories of quantum gravity.
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To Solve the Biggest Mystery in Physics, Join Two Kinds of Law

Reductionism breaks the world into elementary building blocks. Emergence finds the simple laws that arise out of complexity. These two complementary ways of viewing the universe come together in modern theories of quantum gravity.

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

After her untimely death, Maryam Mirzakhani’s life is best remembered through her work.
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The Beautiful Mathematical Explorations of Maryam Mirzakhani

After her untimely death, Maryam Mirzakhani’s life is best remembered through her work.

In order to fully understand the quantum world, we may have to develop a new realm of mathematics.
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Quantum Questions Inspire New Math

In order to fully understand the quantum world, we may have to develop a new realm of mathematics.

A new class of quantum particle is about to emerge from the tangled considerations of quantum statistics.
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Inside the Knotty World of ‘Anyon’ Particles

A new class of quantum particle is about to emerge from the tangled considerations of quantum statistics.

The author shows how new mathematical techniques can be used to revitalize a 650-year-old work of art.
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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.

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.
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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.

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A regular column in which top researchers explore the process of discovery.