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.

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.


Avsnitt(418)

AMA | February 2023

AMA | February 2023

Welcome to the February 2023 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 Pa...

6 Feb 20233h 7min

225 | Michael Tomasello on The Social Origins of Cognition and Agency

225 | Michael Tomasello on The Social Origins of Cognition and Agency

Human beings have developed wondrous capacities to take in information about the world, mull it over, think about a suite of future implications, and decide on a course of action based on those delibe...

30 Jan 20231h 22min

224 | Edward Tufte on Data, Design, and Truth

224 | Edward Tufte on Data, Design, and Truth

So you have some information — how are you going to share it with and present it to the rest of the world? There has been a long history of organizing and displaying information without putting too mu...

23 Jan 20231h 16min

223 | Tania Lombrozo on What Explanations Are

223 | Tania Lombrozo on What Explanations Are

There are few human impulses more primal than the desire for explanations. We have expectations concerning what happens, and when what we experience differs from those expectations, we want to know th...

16 Jan 20231h 10min

222 | Andrew Strominger on Quantum Gravity and the Real World

222 | Andrew Strominger on Quantum Gravity and the Real World

Quantum gravity research is inspired by experiment — all of the experimental data that supports quantum mechanics, and supports general relativity — but it's only inspiration, not detailed guidance. S...

9 Jan 20231h 24min

221 | Adam Bulley on How Mental Time Travel Makes Us Human

221 | Adam Bulley on How Mental Time Travel Makes Us Human

One of the most powerful of all human capacities is the ability to imagine ourselves in hypothetical situations at different times. We can remember the past, but also conjure up possible futures that ...

2 Jan 20231h 20min

Holiday Message 2022: Thinking Really Slowly

Holiday Message 2022: Thinking Really Slowly

Welcome to that beloved Mindscape annual tradition, the Holiday Message. An opportunity for a quicker and less-well-thought-out solo episode to round off another year. Ironically, this year the theme ...

19 Dec 202247min

220 | Lara Buchak on Risk and Rationality

220 | Lara Buchak on Risk and Rationality

Life is rich with moments of uncertainty, where we're not exactly sure what's going to happen next. We often find ourselves in situations where we have to choose between different kinds of uncertainty...

12 Dec 20221h 16min

Populärt inom Vetenskap

dumma-manniskor
svd-nyhetsartiklar
p3-dystopia
allt-du-velat-veta
kapitalet-en-podd-om-ekonomi
rss-ufo-bortom-rimligt-tvivel
rss-vetenskapsradion-2
det-morka-psyket
rss-vetenskapsradion
medicinvetarna
vetenskapsradion
bildningspodden
rss-geopodden-2
sexet
rss-spraket
halsorevolutionen
rss-arkeologi-historia-podden-som-graver-i-vart-kulturlandskap
rss-experimentet
hacka-livet
ideer-som-forandrar-varlden