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In Hilbert by Reid, it is noted that Hilbert and Minkowski were great friends and often worked together on problems, seminars, and lectures. This is a similar relationship to the partnership between Hardy and Littlewood. Are there similar examples of strong and lengthy collaborations in mathematics?

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    $\begingroup$ There are way too many examples of long-term collaborators in math. Try to narrow down your request. If you want concrete examples, start here: en.wikipedia.org/wiki/… $\endgroup$ – Moishe Kohan Jan 7 at 23:05
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    $\begingroup$ Did you look at the table in the link? For instance, 62 joint papers are listed for Erdős and Sárközy. Maybe you mean an exclusive collaboration? (A and B wrote many papers together but hardly any with other mathematicians.) Also, see here: mathoverflow.net/questions/28892/… $\endgroup$ – Moishe Kohan Jan 7 at 23:37
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    $\begingroup$ Depends on what you exactly call "strong and lengthy". More than 1/2 of the late 20th century papers on Mathscinet are written in collaboration. Collaborations used to be rare at the time of Hardy and Littlewood, but they are very common nowadays. $\endgroup$ – Alexandre Eremenko Jan 8 at 0:19
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    $\begingroup$ @AlexandreEremenko I think the OP is thinking about very high profile, historically well known mathematicians. As far I know, Hilbert was very good in network building, but most practicing mathematicians are lone wolves. $\endgroup$ – peterh - Reinstate Monica Jan 8 at 1:23
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    $\begingroup$ "most practicing mathematicians are lone wolfs" - This is not true anymore. Choose your favorite great mathematician (after 1980) and look at the publication list. Most papers will be joint. $\endgroup$ – Alexandre Eremenko Jan 8 at 2:16
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This is quite common. Some examples of pairs of very strong researchers who published at least $15$ papers together:

  • Guillemin and Sternberg.
  • Harvey and Lawson.
  • Colding and Minicozzi
  • Ozsvath and Szabo
  • Green and Tao.
  • Schoen and Yau.
  • Mrowka and Kronheimer
  • Atiyah and Bott.
  • Atiyah and Singer.

There are of course many more examples, as this list mostly reflects my own interests.

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