151 | Jordan Ellenberg on the Mathematics of Political Boundaries

151 | Jordan Ellenberg on the Mathematics of Political Boundaries

Any system in which politicians represent geographical districts with boundaries chosen by the politicians themselves is vulnerable to gerrymandering: carving up districts to increase the amount of seats that a given party is expected to win. But even fairly-drawn boundaries can end up quite complex, so how do we know that a given map is unfairly skewed? Math comes to the rescue. We can ask whether the likely outcome of a given map is very unusual within the set of all possible reasonable maps. That's a hard math problem, however — the set of all possible maps is pretty big — so we have to be clever to solve it. I talk with geometer Jordan Ellenberg about how ideas like random walks and Markov chains help us judge the fairness of political boundaries.

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Jordan Ellenberg received his Ph.D. in mathematics from Harvard University in 1998. He is currently the John D. MacArthur professor of mathematics at the University of Wisconsin. He competed in the International Mathematical Olympiad three times, winning a gold medal twice. Among his awards are the MAA Euler Book Prize and a Guggenheim Fellowship. He is the author of How Not to Be Wrong and the novel The Grasshopper King. His new book is Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else.


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Avsnitt(437)

362 | Luis Bettencourt on the Universal Properties of Self-Organizing Cities

362 | Luis Bettencourt on the Universal Properties of Self-Organizing Cities

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361 | Bonnie Bassler on How Bacteria Talk and Work Together

361 | Bonnie Bassler on How Bacteria Talk and Work Together

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Mindscape Ask Me Anything, Sean Carroll | July 2026

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13 Juli 4h 3min

360 | Marc Berman on the Science of Touching Grass

360 | Marc Berman on the Science of Touching Grass

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6 Juli 1h 29min

359 | Solo: Theories of Dark Energy

359 | Solo: Theories of Dark Energy

The cosmological constant, as discussed last episode, provides a perfectly good (thus far) explanation for why we observe the universe to be accelerating. But it might not be the right explanation, an...

29 Juni 1h 56min

358 | Solo: Vacuum Energy and the Cosmological Constant

358 | Solo: Vacuum Energy and the Cosmological Constant

The most surprising discovery in fundamental physics during my career as a scientist was undoubtedly the acceleration of the universe, announced in 1998. The most straightforward explanation for these...

22 Juni 1h 59min

357 | Jeff Coller on mRNA, Vaccines, and Bespoke Therapeutics

357 | Jeff Coller on mRNA, Vaccines, and Bespoke Therapeutics

Messenger RNA (mRNA) plays a literally central role in the functioning of life as we know it, shuttling information back and forth between the DNA where it is stored to the ribosome where it is used t...

15 Juni 1h 19min

356 | Andrea Wulf on Enlightenment, Nature, Romanticism, and Modernity

356 | Andrea Wulf on Enlightenment, Nature, Romanticism, and Modernity

All ideas have a history, no matter how inevitable and well-entrenched they may seem to us today. The later Enlightenment was a heady time when people were exploring new conceptions of nature, humanit...

8 Juni 1h 17min

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