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.


Det här avsnittet är hämtat från ett öppet RSS-flöde och publiceras inte av Podme. Det kan innehålla reklam.

Avsnitt(427)

348 | Jessica Riskin on Jean-Baptiste Lamarck and Life as Creative Agency

348 | Jessica Riskin on Jean-Baptiste Lamarck and Life as Creative Agency

"Lamarkism" is a term often attached to a seemingly discredited idea in evolutionary biology: that one organism could acquire characteristics (e.g., becoming stronger through exercise) that would then...

23 Mars 1h 15min

347 | Andrew Guthrie Ferguson on How Your Data Will Be Used Against You

347 | Andrew Guthrie Ferguson on How Your Data Will Be Used Against You

In the 18th century, philosopher Jeremy Bentham suggested the Panopticon as a model of a prison where inmates could be constantly observed by just a single prison guard. Although his original idea was...

16 Mars 1h 8min

346 | Erica Cartmill on How Human and Animal Minds Think and Play

346 | Erica Cartmill on How Human and Animal Minds Think and Play

Intelligence is a many splendored thing, especially when it comes to comparisons between species. Chimpanzees are better than humans at some numerical tasks, but less good at understanding what number...

9 Mars 1h 28min

AMA | March 2026

AMA | March 2026

Welcome to the March 2026 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 Patre...

2 Mars 3h 53min

345 | Adam Elga on Being Rational in a Very Large Universe

345 | Adam Elga on Being Rational in a Very Large Universe

Behaving rationally involves facing up to conditions of uncertainty; we never navigate the world with perfect confidence. Sometimes we are uncertain about the way the world is, but we can also be unce...

23 Feb 1h 34min

344 | Adam Gurri on Liberal Democracy and How to Fight For It

344 | Adam Gurri on Liberal Democracy and How to Fight For It

It's possible to look at the course of history over the past few centuries and discern a movement toward increasing democracy, freedom, and individual rights -- "liberalism," in the political-philosop...

16 Feb 1h 21min

343 | Tom Griffiths on The Laws of Thought

343 | Tom Griffiths on The Laws of Thought

For all that human beings spend a lot of their time thinking, it's far from obvious what that process actually entails. Part of it amounts to classical logical reasoning. But an even bigger part invol...

9 Feb 1h 19min

AMA | Feb 2026

AMA | Feb 2026

Welcome to the February 2026 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...

2 Feb 3h 10min

Populärt inom Vetenskap

dumma-manniskor
allt-du-velat-veta
p3-dystopia
rss-ufobortom-rimligt-tvivel
medicinvetarna
ufo-sverige
rss-vetenskapsradion
paranormalt-med-caroline-giertz
kapitalet-en-podd-om-ekonomi
svd-nyhetsartiklar
rss-spraket
dumforklarat
hacka-livet
rss-odla
rss-vetenskapsradion-2
det-morka-psyket
rss-arkeologi-historia-podden-som-graver-i-vart-kulturlandskap
sexet
halsorevolutionen
ufo-sverige-2