Disappointing that he would cozy up to the right wing like this. There are many other places where he could spread the same ideas without implicitly endorsing fascist ideologues.
It's an illustration of the 3-adic integers. I thought this video gave a nice explanation of p-adic numbers.
The Riemann surface of the multi-valued square root function on the complex numbers. The original image is here.
Michael Spivak: A Memorial (Notices of the AMS)
Extracting Fernando Gouvêa's article on Spivak's Calculus book. I, like many others, used this book as my first introduction to "real" math, and it still has an important place in my heart. But the rest of the memorial is definitely worth reading. I had no idea that Spivak was gay, and it is good to see that representation.
Michael Spivak’s Calculus
By Fernando Q. Gouvêa
Let me begin with some autobiography. I was introduced to calculus during my first year at the University of São Paulo, in Brazil. At that time, we didn’t use a textbook; instead, we used references and small booklets of notes, prepared by one of the teachers. The references were a variety of books that our professors felt could be consulted with profit. Among them was Spivak’s Calculus. I didn’t buy a copy at first, because I was fairly happy with the notes and with the books I already had. But the name stuck in my head.
A couple of months into the course, I was strolling through the aisles of my favorite bo
Transcription and translation of Grothendieck’s 1972 CERN talk "Will we continue scientific research?"

This talk, titled Allons-nous continuer la recherche scientifique? [Will we continue scientific research?] is rather different. It’s not a mathematics research talk, but a sociological one, b…

A link from @[email protected] to a 1972 talk by Grothendieck (including a recording; I don't think I'd ever actually heard his voice before!). It's interesting how complaints that seem very modern have existed for so long.
I’ve been taking every opportunity to meet scientists, whether in public discussions like this one or in private, and raise these questions. In particular: “Why do we do scientific research?” [...] The extraordinary thing is to see how incapable my colleagues are of answering this question. In fact, for most of them, the question is simply so strange, so extraordinary, that they refuse even to contemplate it. In any case, they are extremely reluctant to give any kind of answer.
I’ve come to realize that in fact this satisfaction that scientists are supposed to derive from exercising their cherished profession, is a pleasure… which is not a pleasure for everyone! [...] Once you’ve got your job, it’s an imper
1 Billion is Tiny in an Alternate Universe: Introduction to p-adic Numbers

YouTube Video
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How Failure Has Made Mathematics Stronger | Quanta Magazine | Jordana Cepelewicz

The topologist Danny Calegari discusses the inevitability of disappointment in math, and how to learn from it.

Calegari's Notices essay mentioned in the article.