Maryam Mirzakhani's Hyperbolic Universe

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typical hyperbolic surface

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typical hyperbolic surfaces

Quanta Magazine

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Science

Years After the Early Death of a Math Genius, Her Ideas Gain New Life | Quanta Magazine

Summary

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Maryam Mirzakhani was the first woman to win a Fields Medal , math’s highest honor.

She was an influential cartographer of the hyperbolic universe.

She developed groundbreaking techniques that allowed her to start cataloging these shapes.

But before she could do so, she was diagnosed with breast cancer, she died in 2017 .

Mathematician Mirzakhani studied random hyperbolic surfaces at random and studied their properties.

She died before she could pursue this line of inquiry.

Her friend, Nalini Anantharaman , is now hoping to build on her work.

Monk picked up the thread after she learned that other women were planning to leave academia.

There is a vast and largely unexplored universe of hyperbolic surfaces that mathematicians hope to understand the general properties of a typical surface.

But even though there are relatively few known surfaces with a high spectral gap, mathematicians suspect that they're common.

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