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Dec 11, 2010 at 22:53 vote accept James D. Taylor
Dec 11, 2010 at 13:54 comment added Joël I wanted to add that this doesn't mean that Grothendieck's works didn't infuence the theory of modular forms enormously. It did, of course, in so mamy ways that it is not possible to describe them all. One obvious thing is his work on the Weil's conjecture, with when sompleted by Deligne leads to a proof of the Ramanujan's conjecture. An other, perhaps even more important thing, is G.'s theory of moduli scheme, used in the theory and study of modular curves (first in the very influential Deligne-Rapoport's paper) and more generally Shimura's varieties.
Dec 11, 2010 at 8:10 comment added Pete L. Clark FWIW, I also did a MathSciNet search along the same lines, with the same negative results. The closest I found was Grothendieck's work on vector bundles.
Dec 11, 2010 at 6:17 history answered Joël CC BY-SA 2.5