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.


Episoder(418)

AMA | November 2025

AMA | November 2025

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335 | Andrew Jaffe on Models, Probability, and the Universe

335 | Andrew Jaffe on Models, Probability, and the Universe

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334 | Daniel Whiteson on the Physics of and by Aliens

334 | Daniel Whiteson on the Physics of and by Aliens

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3 Nov 20251h 14min

333 | Gordon Pennycook on Unthinkingness, Conspiracies, and What to Do About Them

333 | Gordon Pennycook on Unthinkingness, Conspiracies, and What to Do About Them

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332 | Dmitri Tymoczko on the Mathematics Behind Music

332 | Dmitri Tymoczko on the Mathematics Behind Music

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AMA | October 2025

AMA | October 2025

Welcome to the October 2025 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by Pat...

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331 | Solo: Fine-Tuning, God, and the Multiverse

331 | Solo: Fine-Tuning, God, and the Multiverse

Certain features of our universe seem unnatural to us. These include "constants of nature" such as the cosmological constant and the mass of the Higgs boson, as well as features of the initial conditi...

6 Okt 20251h 54min

330 | Petter Törnberg on the Dynamics of (Mis)Information

330 | Petter Törnberg on the Dynamics of (Mis)Information

A characteristic of complex systems is that individual components combine to exhibit large-scale emergent behavior even when the components were not specifically designed for any particular purpose wi...

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