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.


Jaksot(416)

135 | Shadi Bartsch on Plato, Vergil, Confucius, and Modernity

135 | Shadi Bartsch on Plato, Vergil, Confucius, and Modernity

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AMA | February 2021

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134 | Robert Sapolsky on Why We Behave the Way We Do

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133 | Ziya Tong on Realities We Don't See

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It's a truism that what we see about the world is a small fraction of all that exists. At the simplest level of physics and biology, our senses are drastically limited; we only see a narrow spectrum o...

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Bonus | AIP Oral History Interview

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132 | Michael Levin on Growth, Form, Information, and the Self

132 | Michael Levin on Growth, Form, Information, and the Self

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131 | Avi Loeb on Taking Aliens Seriously

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25 Tammi 20211h 40min

130 | Frank Wilczek on the Present and Future of Fundamental Physics

130 | Frank Wilczek on the Present and Future of Fundamental Physics

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