Alexander Grothendieck Revolutionized 20th-Century Mathematics

(quantamagazine.org)

38 points | by anujbans 3 hours ago

2 comments

  • susam 38 minutes ago
    One of my favourite Grothendieck stories from <https://www.ams.org/notices/200410/fea-grothendieck-part2.pd...>:

    > One striking characteristic of Grothendieck's mode of thinking is that it seemed to rely so little on examples. This can be seen in the legend of the so-called "Grothendieck prime". In a mathematical conversation, someone suggested to Grothendieck that they should consider a particular prime number. "You mean an actual number?" Grothendieck asked. The other person replied, yes, an actual prime number. Grothendieck suggested, "All right, take 57."

  • ian_j_butler 2 hours ago
    Happy to see that it's got the obligatory monk/wizard photo.

    For more life and times stuff I also suggest Labatut's Cease to Understand the World book and https://theanarchistlibrary.org/library/konstantinos-foutzop...

    • throwaway81523 1 hour ago
      That book is fiction with a factual veneer. I liked it a lot until I started realizing that many of the details were made up. Then I couldn't read any more. It was like when TwoSetViolin described what it was like to watch movies with musician characters played, unrealistically, by non-musician actors. You'd be watching the perfectly fine movie until you noticed that the bananas were blue instead of yellow, with nobody mentioning it. After that the movie made no sense any more.

      I hated the movie Oppenheimer for the same reason.

      • ian_j_butler 40 minutes ago
        > That book is fiction with a factual veneer.

        Definitely, but do check the link.. I dug it up originally by trying to track down detail about the nonfiction background that the book is pulling from. Seems like the best short source, but I'd love to hear recs for a good biography. The autobiography that Groth is careful to say is not an autobiography is on my shelf and also in pdf form. Haven't read it yet, but I'm not sure it's the type of thing that's going to cover the descent into madness properly.

        https://web.ma.utexas.edu/users/slaoui/notes/recoltes_et_sem...

        • schrototo 9 minutes ago
          There is an incredible (alas unfinished) multipart Grothendieck biography by the German mathematician Winfried Scharlau: Wer ist Alexander Grothendieck? Anarchie, Mathematik, Spiritualität, Einsamkeit. I think an English translation exists, at least for the first and in my opinion most interesting volume: Anarchy. It mostly deals with Grothendieck’s childhood and his parents, who lived unbelievably fascinating lives as anarchists in pre-war Berlin.
      • helterskelter 21 minutes ago
        Interestingly, von Neumann's daughter was kind of shocked by the research the author did for the book The MANIAC; as a kid she carried graph paper in her pocket and Labatut had somehow found this out in his research and put it into the book, really blew her away I guess.