146 | Emily Riehl on Topology, Categories, and the Future of Mathematics

146 | Emily Riehl on Topology, Categories, and the Future of Mathematics

"A way that math can make the world a better place is by making it a more interesting place to be a conscious being." So says mathematician Emily Riehl near the start of this episode, and it's a good summary of what's to come. Emily works in realms of topology and category theory that are far away from practical applications, or even to some non-practical areas of theoretical physics. But they help us think about what is possible and how everything fits together, and what's more interesting than that? We talk about what topology is, the specific example of homotopy — how things deform into other things — and how thinking about that leads us into groups, rings, groupoids, and ultimately to category theory, the most abstract of them all.

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Emily Riehl received a Ph.D in mathematics from the University of Chicago. She is currently an associate professor of mathematics at Johns Hopkins University. Among her honors are the JHU President's Frontier Award and the Joan & Joseph Birman Research Prize. She is author of Categorical Homotopy Theory, and co-author of the upcoming Elements of ∞-Category Theory. She competed on the United States women's national Australian rules football team, where she served as vice-captain.


Episoder(416)

AMA | August 2022

AMA | August 2022

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205 | John Quiggin on Interest Rates and the Information Economy

205 | John Quiggin on Interest Rates and the Information Economy

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204 | John Asher Johnson on Hunting for Exoplanets

204 | John Asher Johnson on Hunting for Exoplanets

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203 | N.J. Enfield on Why Language is Good for Lawyers and Not Scientists

203 | N.J. Enfield on Why Language is Good for Lawyers and Not Scientists

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AMA | July 2022

AMA | July 2022

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4 Jul 20223h 26min

202 | Andrew Papachristos on the Network Theory of Gun Violence

202 | Andrew Papachristos on the Network Theory of Gun Violence

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27 Jun 20221h 15min

201 | Ed Yong on How Animals Sense the World

201 | Ed Yong on How Animals Sense the World

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20 Jun 20221h 9min

AMA | June 2022

AMA | June 2022

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