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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.

49 comments

  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 Anonymous Coward · · Score: 1

      Yes it is.... same as Howard Hughes

    3. Re:Genius /Insanity by gtall · · Score: 1

      More like the line between religion and insanity is a thin one.

    4. 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 There are still 20,000 pages of unpublished manuscript around, written before the early 1990s.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.

    5. Re:Genius /Insanity by Anonymous Coward · · Score: 0

      Nonsense. There are tons of crazies out there who can't do a 5th grade equation or put together a real sentence and there are plenty of geniuses out there who have no problem with day to day living.

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

      Maybe they're the more sane ones after all.

      --
      Happy people make bad consumers.
    7. 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.
    8. 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.
    9. Re:Genius /Insanity by Anonymous Coward · · Score: 0

      Mathematics Great Alexander Grothendieck Dies At 86

      If he's so great, how come he's dead?

    10. Re:Genius /Insanity by Beck_Neard · · Score: 1

      It could have just been a case of extreme burnout. If you look at the stuff he did pre-withdrawal, it was phenomenal. He was doing the work of ten people. And he did a lot of important stuff. He's like the combined Jimi Hendrix, Jimmy Page, and Eric Clapton of algebra.

      It could have been some form of latent mental illness, but I think people are too quick to judge people smarter than them as being crazy, without solid evidence.

      --
      A fool and his hard drive are soon parted.
    11. Re:Genius /Insanity by AlabamaCajun · · Score: 1

      Correct, that one is not a line but a fog!

    12. Re:Genius /Insanity by AlabamaCajun · · Score: 1

      Many have come before and proven that greatness arrives around death or sometimes years or millennia later.

    13. Re:Genius /Insanity by AlabamaCajun · · Score: 1

      (Please read this as something to think about) The human mind is designed for observation and reaction by evolution. Intelligence developed as a means to improve those skills. One might conclude that intelligence is but an attempt to reorient a ones brain into a mostly thinking and forget the rest. That detachment from the more primal function creates a void that we observe as insanity, savant or just non-social. As you get older you might find that you get deep into studies or searching for the meaning of life or solving P vs NP the more irritated you may become when the rest of the world continues to intervene. Maybe it's the world that is actually insane while those of higher intelligence are just outside this insanity. -Math Rules-

    14. Re:Genius /Insanity by Anonymous Coward · · Score: 0

      There is no line. Insanity is a prerequisite for Genius because if you were any way like the common person you would already be excluded from the "Genius" category as a matter of definition.

      The better definition might just be to start calling non-geniuses insane, since they are the lower branch of Humanity.

    15. Re:Genius /Insanity by Anonymous Coward · · Score: 0

      No worries. It's all probably drivel created by his diseased, schizophrenic mind.

  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. Rest in peace. by Anonymous Coward · · Score: 1

    Rest in peace. You hurt my head more than I can describe at times, but thanks.

  5. 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?

    1. Re:Crap! by dlingman · · Score: 1

      He was off by 3 years. The year that September never ended was 1993, not 1996...

  6. 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?

    2. Re:2 3 Letter acronyms by swillden · · Score: 1

      > Grothendieck prime

      You mean 3*19?

      Yes, but you have to be a mathematician of Grothendieck's calibre to understand that 57 is prime. Lesser intellects fixate on its being the product of 3 and 19 and jabber on about the definition of primeness, but Grothendieck saw the deeper truth.

      --
      Note to ACs: I usually delete AC replies without reading them. If you want to talk to me, log in.
    3. Re:2 3 Letter acronyms by pjt33 · · Score: 1

      In fairness, I saw Terry Tao get half-way through saying that 27 and 29 are twin primes on the Colbert Report the other day, before he caught himself. (Just after the 3 minute mark).

    4. Re:2 3 Letter acronyms by Anonymous Coward · · Score: 0

      Wait, are you trying to say 29 isn't prime?

    5. Re:2 3 Letter acronyms by Anonymous Coward · · Score: 0

      Yes, he is regarded by a great many people as the greatest mathematician of the 20th century. All the more impressive given his early retirement.

    6. Re:2 3 Letter acronyms by jbolden · · Score: 1

      Good catch AC! That was a joke at his expense. He shouldn't be getting the credit as it was a positive thing.

    7. Re:2 3 Letter acronyms by steelfood · · Score: 1

      We should put you in front of Stephen Colbert and a camera and see how well you do listing twin primes.

      --
      "If a nation expects to be ignorant and free in a state of civilization, it expects what never was and never will be."
  7. 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?)

    1. Re:It's still a fair point by Anonymous Coward · · Score: 0, Flamebait

      Ya know who else had a similar career path...Ted Kaczynski.

    2. Re:It's still a fair point by martin-boundary · · Score: 1
      Being depressed to the point of retreating from the world IS a form of insanity. The world is. You can be unhappy about the way it is or not, sure. But deliberately retreating from it is insane. You are literally crippling yourself, denying the facts of your own existence, ie that you are a human being embedded in the world around you, which includes as much the chair on which you sit and the society in which you live.

      So yeah, deliberate retreat is insane, not quite as insane as suicide, but definitely not a reasonable life choice

    3. Re:It's still a fair point by kesuki · · Score: 1

      "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?)"

      using windows on a network constitutes as crazy. the change is when they realize we need truly free software, the four freedoms. trying to run the world on windows or macos or android all with the corporation as a benevolent dictator is not good enough. slaves to your corporate masters is no better than joining a cult where the leader is 'divine' and if he asks you to cut your throat you ask when and with what...

  8. 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 deodiaus2 · · Score: 0

      As opposed to most politicians and preachers who have no knowledge whatsoever and feel that they are doing God's work by bombing Serbia or banning abortion.

    3. Re:Fields medal is like a Nobel prize. by Anonymous Coward · · Score: 0

      when he spoke out of his butt about that medical problem he had, "growth on dick" I think he called it, I listened.

    4. Re:Fields medal is like a Nobel prize. by HornWumpus · · Score: 1

      Good point.

      --
      John McAfee 'It was like that time I hired that Bangkok prostitute; to do my taxes, while I fucked my accountant'
    5. 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.

    6. Re:Fields medal is like a Nobel prize. by Anonymous Coward · · Score: 1

      Hrmmm... we are on Slashdot. This is sort of ground zero for people talking out their butt on subjects they have no expertise in.

      "IANAL"? The acronym speaks for itself.

    7. Re:Fields medal is like a Nobel prize. by Anonymous Coward · · Score: 0

      There's a difference between having no expertise and turning out to be wrong. As a biochemist, Pauling knew a lot about vitamins but made some extreme claims about their benefits that are almost certainly wrong. Shockley got interested in the relationship between genetics and intelligence at a time when too little was (and still is) known to say anything meaningful - and made some assumptions about people being poor because of genetically-based low intelligence that are almost certainly wrong. Chomsky is a world expert on the Israeli-Palestinian conflict and there's a very good chance that history will judge the bulk his claims to be correct - but there are a few specific claims he's made over the years that are almost certainly wrong.

  9. Linked article is amazingly interesting! by Anonymous Coward · · Score: 0

    Does anyone know the state of the 20,000 locked pages?

  10. A friend of Pontius Pilate? by Anonymous Coward · · Score: 1

    Isn't "Grothendieck" the Germanic version of the Latin "Biggus Dickus" ?

    1. Re:A friend of Pontius Pilate? by tinkerton · · Score: 1

      Yes.

  11. Hard to blame him by superwiz · · Score: 1

    Given the opposition to software patents and the general demand that genius be considered a public property, it's hard to call him even insane. I didn't actually know that he was still alive. I just assumed he was part of Hilbert's generation because of the Grothendieck basis. Well, good for him I guess.

    --
    Any guest worker system is indistinguishable from indentured servitude.
  12. Yes, but the thing is..... by Anonymous Coward · · Score: 0

    .....10 trillion flies cannot be wrong. Eat shit.

  13. yeah! by Anonymous Coward · · Score: 0

    Especially YOU

  14. i know! by Anonymous Coward · · Score: 0

    heaven forbid we prevent infanticide! oh the horror! That'd be like a new holocaust!.....OH WAIT