World Model · podcast knowledge graph

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

2021-05-10 · 77 min · episode 146 · 9 entities

episode page audio

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  • → authored Categorical Homotopy Theory book
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    author of Categorical Homotopy Theory
  • → hosted by Sean Carroll person
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    Feed author/publisher: Sean Carroll
  • → discusses Science concept
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    Feed category: Science
  • → discusses Physics concept
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    Feed category: Physics

Entities found in this episode

concepts 5

  • mentioned Science concept
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    Feed category: Science
  • mentioned Physics concept
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    evidence rules-v4
    Feed category: Physics
  • mentioned Mathematics concept
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    the Future of Mathematics
  • discusses Science concept
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    evidence rules-v4
    Feed category: Science
  • discusses Physics concept
    0.40
    evidence rules-v4
    Feed category: Physics

books 2

persons 2

  • mentioned Sean Carroll person
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    evidence rules-v4
    Feed author/publisher: Sean Carroll
  • hosted by Sean Carroll person
    0.55
    evidence rules-v4
    Feed author/publisher: Sean Carroll
Episode description as stored
"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. Support Mindscape on  Patreon . 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. Johns Hopkins web page Google Scholar publications Quanta profile Wikipedia Twitter