Here are some things that I’ve translated into English. Any comments or corrections are greatly appreciated. I’ve tried to refrain from “rewriting” too much: generally the sentence structure etc. is pretty close to the original. Usually I don't have the time (or, truthfully, the energy) to fully proof-read everything after my first draft is done, so I'm sure that everything could be much improved. Sorry. Please contact me with any corrections or comments, either via email or via the GitHub repository: [thosgood/translations].

The following should go without saying, but I’ll say it anyway:
I am making no claim to any of the mathematics contained in any of these translations; the only things that are mine are the errors introduced during the hazardous journey from one language to another. All translations on this page are for personal use only.

The "Grothendieck trilogy"

• EGA: [ryankeleti/ega]
• FGA: See below, under "Séminaire Bourbaki"
• SGA: "Coming soon"™

Articles

• M Balazard, E Saias, M Yor Notes sur la fonction ζ de Riemann, 2
  Adv. in Math. 143 1999 284–287
  PDF | TeX || original
• A Borel, J-P Serre Le théorème de Riemann-Roch
  Bull. Soc. Math. Fr. 86 1958 97–136
  10.24033/bsmf.1500
  PDF | TeX || original
• P Deligne Variétés abéliennes ordinaires sur un corps fini
  Inv. Math. 8 1969 238–243
  PDF | TeX || original
• P Deligne Théorie de Hodge I
  Actes du Congrès intern. math. 1 1970 425–430
  PDF | TeX || original
• P Deligne A quoi servent les motifs?
  Proc. Symp. in Pure Math. 55 1994 143–161
  PDF | TeX || original
• Y Diers Catégories Multialgébriques
  Archiv der Math. 34 1980 193–209
  10.1007/BF01224953
  PDF || TeX
• A Grothendieck La théorie des classes de Chern
  Bull. Soc. Math. Fr. 86 1958 137–154
  10.24033/bsmf.1501
  PDF | TeX || original
• G Pólya Bemerkung Über die Integraldarstellung der Riemannschen ξ-Funktion
  Acta Math. 48 1926 305–317
  10.1007/BF02565336
  PDF | TeX || original

Séminaire Bourbaki

Extracts (1948–49), "Les travaux de Koszul"

In the first series of the Séminaire Bourbaki, H Cartan gave three talks concerning the work of J-L Koszul on Lie algebras. (These specific talks were given in 1948–49, but the first published Séminaire Bourbaki collection was printed in 1952, containing the first 49 talks, and dating from 1948 up until 1951). I have combined all three talks into one document.

• H Cartan Les travaux de Koszul, I, II, and III
  Séminaire Bourbaki 1 1952 Talks no. 1, 8, and 12
  PDF | TeX || original I | original II | original III

Extracts (1957–62), "Fondements de la Géométrie Algébrique"

The Grothendieck Circle has a PDF of the original notes. The translation below has been updated with the comments and errata from the May 1962 "Commentaires" (Séminaire Bourbaki 14, 1961–62, Complément).

All of the following are by A Grothendieck.

1. Théorème de dualité pour les faisceaux algébriques cohérents
   Séminaire Bourbaki 9 1956–57 Talk no. 149
   PDF | TeX
2. Géométrie formelle et géométrie algébrique
   Séminaire Bourbaki 11 1958–59 Talk no. 182
   PDF | TeX
3. Technique de descente et théorèmes d'existence en géométrie algébrique
   1. Généralités. Descente par morphismes fidèlement plats
      Séminaire Bourbaki 12 1959–60 Talk no. 190
      PDF | TeX
   2. Le théorème d'existence et théorie formelle des modules
      Séminaire Bourbaki 12 1959–60 Talk no. 195
      PDF | TeX
   3. Préschemas quotients
      Séminaire Bourbaki 13 1960–61 Talk no. 212
      PDF | TeX

Séminaire Claude Chevalley

Volume 4 (1958–59), Variétés de Picard

1. P Gabriel Faisceaux quasi-cohérents
   PDF | TeX || original
2. P Gabriel Le théorème de Serre
   PDF | TeX || original
4. C S Seshadri Diviseurs en géométrie algébrique
   PDF | TeX || original
9. A Douady Variétés abéliennes
   PDF | TeX || original

Séminaire Henri Cartan

Volume 9 (1956–57), "Quelques questions de topologie"

2. A Grothendieck Sur les faisceaux algébriques et les faisceaux analytiques cohérents
   PDF | TeX || original

Volume 13 (1960–61), "Familles d'espaces complexes et fondements de la géométrie analytique"

The first talk [A Douady Fibrés en tores complexes] in the first volume of this seminar series was not written down; in the table of contents, a reference [M Atiyah Some examples of complex manifolds Bonner Math. Schrift. 6 1958 28 p] is given instead. Talks number 5 and 6 [C Houzel Modules des surfaces de Riemann] in the same volume were also not written down.

2. A Douady Variétés et espaces mixtes
   PDF | TeX || original
3. A Douady Déformations régulières
   PDF | TeX || original