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.


Tämä jakso on lisätty Podme-palveluun avoimen RSS-syötteen kautta eikä se ole Podmen omaa tuotantoa. Siksi jakso saattaa sisältää mainontaa.

Jaksot(427)

208 | Rick Beato on the Theory of Popular Music

208 | Rick Beato on the Theory of Popular Music

There is no human endeavor that does not have a theory of it — a set of ideas about what makes it work and how to do it well. Music is no exception, popular music included — there are reasons why cert...

22 Elo 20221h 11min

207 | William MacAskill on Maximizing Good in the Present and Future

207 | William MacAskill on Maximizing Good in the Present and Future

It's always a little humbling to think about what affects your words and actions might have on other people, not only right now but potentially well into the future. Now take that humble feeling and p...

15 Elo 20221h 42min

206 | Simon Conway Morris on Evolution, Convergence, and Theism

206 | Simon Conway Morris on Evolution, Convergence, and Theism

Evolution by natural selection is one of the rare scientific theories that resonates within the wider culture as much as it does within science. But as much as people know about evolution, we also fin...

8 Elo 20221h 17min

AMA | August 2022

AMA | August 2022

Welcome to the August 2022 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 Patr...

1 Elo 20223h 6min

205 | John Quiggin on Interest Rates and the Information Economy

205 | John Quiggin on Interest Rates and the Information Economy

The idea of an "interest rate" might seem mundane and practical, in comparison to our usual topics around here, but there is a profound philosophical idea lurking in the background: if you lend me mon...

25 Heinä 20221h 19min

204 | John Asher Johnson on Hunting for Exoplanets

204 | John Asher Johnson on Hunting for Exoplanets

Recent years have seen a revolution in the study of exoplanets, planets that orbit stars other than the Sun (or don't orbit stars at all). After a few tentative detections in the 1990s, dedicated inst...

18 Heinä 20221h 15min

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

We describe the world using language — we can't help it. And we all know that ordinary language is an imperfect way of communicating rigorous scientific statements, but sometimes it's the best we can ...

11 Heinä 20221h 24min

AMA | July 2022

AMA | July 2022

Welcome to the July 2022 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). I take the large number of questi...

4 Heinä 20223h 26min

Suosittua kategoriassa Tiede

rss-mita-tulisi-tietaa
tiedekulma-podcast
rss-poliisin-mieli
utelias-mieli
rss-tiedetta-vai-tarinaa
university-of-eastern-finland
docemilia
sotataidon-ytimessa
filocast-filosofian-perusteet
menologeja-tutkimusmatka-vaihdevuosiin
rss-bios-podcast
rss-ranskaa-raakana
rss-duodecim-lehti
rss-duokkari-ekstra
rss-astetta-parempi-elama-podcast
rss-ilmasto-kriisissa
rss-ylistys-elaimille
rss-sosiopodi
rss-totuuden-liepeilla