Editing Alexander Grothendieck (section)

=== IHÉS years ===
In 1958, Grothendieck was installed at the [[Institut des Hautes Études Scientifiques|Institut des hautes études scientifiques]] (IHÉS), a new privately funded research institute that, in effect, had been created for [[Jean Dieudonné]] and Grothendieck.{{sfn|Cartier|2004}} Grothendieck attracted attention by an intense and highly productive activity of seminars there (''de facto'' working groups drafting into foundational work some of the ablest French and other mathematicians of the younger generation).{{sfn|Jackson|2004a}} Grothendieck practically ceased publication of papers through the conventional, [[learned journal]] route. However, he was able to play a dominant role in mathematics for approximately a decade, gathering a strong school.<ref name="artist">{{cite book |title=The Artist and the Mathematician |author=Amir D. Aczel |date=2009 |publisher=Basic Books}}</ref>

Officially during this time, he had as students [[Michel Demazure]] (who worked on SGA3, on [[group scheme]]s), {{interlanguage link|Monique Hakim|fr}} ([[Grothendieck's relative point of view|relative schemes]] and [[classifying topos]]), [[Luc Illusie]] (cotangent complex), [[Michel Raynaud]], [[Michèle Raynaud]], [[Jean-Louis Verdier]] (co-founder of the [[derived category]] theory), and [[Pierre Deligne]]. Collaborators on the SGA projects also included [[Michael Artin]] ([[étale cohomology]]), [[Nick Katz]] ([[monodromy theory]], and [[Lefschetz pencil]]s). [[Jean Giraud (mathematician)|Jean Giraud]] worked out [[torsor]] theory extensions of [[nonabelian cohomology]] there as well. Many others such as [[David Mumford]], [[Robin Hartshorne]], [[Barry Mazur]] and [[C.P. Ramanujam]] were also involved.