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Mathematics Great Alexander Grothendieck Dies At 86

An anonymous reader writes Alexander Grothendieck, one of the great eccentric geniuses of 20th century mathematics, has died in France at the age of 86. Grothendieck was the leading mind behind algebraic geometry. He was awarded the Fields Medal in 1966. He reached the very pinnacle of his profession before abandoning the discipline, taking up anti-war activism, retreating into the life of a recluse and refusing to share his research. He died on Thursday in a hospital in Saint-Girons in southwestern France.

15 of 49 comments (clear)

  1. Genius /Insanity by sycodon · · Score: 4, Insightful

    The line between genius and insanity is a thin one.

    --
    When Fascism comes to America, it will call itself Anti-Fascism, and tell you to give up your guns.
    1. Re:Genius /Insanity by i+kan+reed · · Score: 5, Insightful

      I'm not sure getting fed up with the state of the world and withdrawing from it is insanity, exactly.

    2. Re:Genius /Insanity by butalearner · · Score: 2
      From Wikipedia:

      His growing preoccupation with spiritual matters was also evident in a letter entitled Lettre de la Bonne Nouvelle that he sent to 250 friends in January 1990. In it, he described his encounters with a deity and announced that a "New Age" would commence on 14 October 1996.

      Yikes. There are still 20,000 pages of unpublished manuscript around, written before the early 1990s. Hopefully most of it was written before these encounters.

    3. Re:Genius /Insanity by Tyler+Durden · · Score: 2

      Maybe they're the more sane ones after all.

      --
      Happy people make bad consumers.
    4. Re:Genius /Insanity by Opportunist · · Score: 3, Informative

      I'm not insane.

      My mom had me tested.

      --
      We used to have a Bill of Rights. Now, with the rights gone, all we have left is the bill.
    5. Re:Genius /Insanity by frank_adrian314159 · · Score: 2

      Just because people are crazy in one area of their life, it doesn't mean they can't turn out great work. That's why quite a few geniuses are people whom you probably couldn't stand to be with for very long. As for mathematicians? Newton? Erdos?

      The math (or lack thereof) will speak for itself. If nothing else, it will be another glimpse inside a mind that came up with some of the most groundbreaking mathematical work of the last century.

      --
      That is all.
  2. He was anti-war all life long by ralfmuschall · · Score: 5, Informative

    The snippet above ("before abandoning the discipline, taking up anti-war activism") sounds as if he had switched from math to politics in 1970. Truth is, he was an anti-war activist all life long, i.e. against France's Algeria war, and he even gave lectures in Vietnam during wartime (1967). Some biographic texts about him are available at http://www.scharlau-online.de/... (AFAICT in german).

  3. He did return to academia by kkruecke · · Score: 5, Informative

    According to the wikipedia article http://en.wikipedia.org/wiki/A..., he did later return to academia until 1988: "He retired from scientific life around 1970, after having discovered the partly military funding of IHÉS. He returned to academia a few years later as a professor at the University of Montpellier, where he stayed until his retirement in 1988. "

  4. Crap! by Okian+Warrior · · Score: 4, Funny

    In it, he described his encounters with a deity and announced that a "New Age" would commence on 14 October 1996.

    Crap! He promised he wouldn't tell anyone.

    Oh well, I guess the cat is out of the bag.

    How are people liking the New Age? Any suggestions for improvement?

  5. 2 3 Letter acronyms by jbolden · · Score: 5, Informative

    Well the best way to put it is the man gets 2 3 letter acronyms reserved for him among all mathematicians.
    Éléments de géométrie algébrique (EGA) and Séminaire de géométrie algébrique (SGA).

    Wikipedia has a nice list of other things with his name:
    Ax-Grothendieck theorem
    Birkhoff–Grothendieck theorem
    Brieskorn–Grothendieck resolution
    Grothendieck category
    Grothendieck's connectedness theorem
    Grothendieck connection
    Grothendieck construction
    Grothendieck duality
    Grothendieck existence theorem
    Grothendieck fibration
    Grothendieck's Galois theory
    Grothendieck group
    Grothendieck inequality or Grothendieck constant
    Grothendieck–Katz p-curvature conjecture
    Grothendieck's monodromy theorem
    Grothendieck's mysterious functor
    Grothendieck–Ogg–Shafarevich formula
    Grothendieck period conjecture
    Grothendieck prime
    Grothendieck's relative point of view
    Grothendieck–Riemann–Roch theorem
    Grothendieck's Séminaire de géométrie algébrique
    Grothendieck's six operators
    Grothendieck space
    Grothendieck spectral sequence
    Grothendieck–Teichmüller theory
    Grothendieck trace formula
    Grothendieck topology
    Grothendieck universe
    Tarski–Grothendieck set theory

    1. Re:2 3 Letter acronyms by Anonymous Coward · · Score: 2, Funny

      > Grothendieck prime

      You mean 3*19?

  6. It's still a fair point by Okian+Warrior · · Score: 4, Insightful

    [It's not insanity... ] Yes it is.... same as Howard Hughes

    I dunno... long-term reading of this blog might result in the impression that life is a disheartening, unjust affair. It's full of rights violations by police and government agencies, feckless and obstructive politicians, corrupt and predatory corporations, and so on.

    To read online news results, everything is lurid and emotional. For example, the nurse in Main [who was in contact with ebola] who didn't agree to a quarrantine was in a "standoff" with authorities, the Philae lander is "racing against time" (whatever *that* means), there's a tiger loose in Disneyland, and we need to be afraid of everything so that the government can justify their purchases and policies.

    Is it that much of a stretch to believe that people will view the world through this skewed perspective?

    Given what we know about human psychology - for example, that people will believe what they're told by default (viz. religion) - it makes perfectly rational sense that a small cadre would lose all hope in humanity and seek to avoid it.

    I don't think these people can be legitimately called insane. They're not hurting anyone, they're not hurting themselves, and they're living their own lives.

    What criteria would you apply to these people to designate them as "insane", and what behaviour would you change about them to fix it? (And how do measure such a change so that you can tell when they're no longer insane?)

  7. Fields medal is like a Nobel prize. by HornWumpus · · Score: 2

    Recipients immediately start talking out their butt about subjects they have no expertise in. See also: Linus Pauling, Shockley, Chomsky (yes I know, no nobels for some, but you get the point).

    --
    John McAfee 'It was like that time I hired that Bangkok prostitute; to do my taxes, while I fucked my accountant'
    1. Re:Fields medal is like a Nobel prize. by Anonymous Coward · · Score: 3, Insightful

      Most academics I know talk out their butt about subjects they have no expertise in. Until they become famous for something, no one listens.

    2. Re:Fields medal is like a Nobel prize. by HuguesT · · Score: 2

      Most *people* do that. If only it were limited to academics, life would be easy. But no. Taxi drivers, assistants, hairdressers, dentists, you name it.