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)

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310 | Marc Kamionkowski on Dark Energy and Cosmic Anomalies

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308 | Alison Gopnik on Children, AI, and Modes of Thinking

308 | Alison Gopnik on Children, AI, and Modes of Thinking

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AMA | March 2025

AMA | March 2025

Welcome to the March 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 Patre...

10 Mar 20252h 58min

307 | Kevin Peterson on the Theory of Cocktails

307 | Kevin Peterson on the Theory of Cocktails

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306 | Helen Czerski on Our Energetic Oceans

306 | Helen Czerski on Our Energetic Oceans

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305 | Lilliana Mason on Polarization and Political Psychology

305 | Lilliana Mason on Polarization and Political Psychology

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