“It is less than four years since cohomological methods (i. e. methods of Homological Algebra) were introduced into Algebraic Geometry in Serre's fundamental paper[11], and it seems certain that they are to overflow the part of mathematics in the coming years, from the foundations up to the most advanced parts. … [11] Serre, J. P. Faisceaux algébriques cohérents. Ann. Math. (2), 6, 197–278”
1955
[1960, Cambridge University Press, The cohomology theory of abstract algebraic varieties, Proc. Internat. Congress Math.(Edinburgh, 1958), 103–118, https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/CohomologyVarieties.pdf] (p. 103)
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Alexander Grothendieck 3
French mathematician 1928–2014Related quotes

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As quoted in "Return of the time lord" in The Guardian http://books.guardian.co.uk/departments/scienceandnature/story/0,6000,1579384,00.html (27 September 2005)