Alexander Grothendieck

The Biography

Bibliography

244 works. The works the book cites, in its Chicago style.

A

  1. Actes du Congrès international des mathématiciens (Moscou, 1966). Mir, 1968.

    Cited in Chapter 36

  2. Amicale des anciens internés politiques et résistants du camp du Vernet d’Ariège. “Le camp du Vernet.” https://www.campduvernet.eu/.

    Cited in Chapters 7, 8

  3. Archives départementales de la Lozère. Fonds relatifs au camp de Rieucros. n.d. https://camp-rieucros.com/bibliographie/.

    Cited in Chapters 8, 11

  4. Archives départementales du Tarn. Fonds relatifs au camp de Brens. n.d. https://camp-rieucros.com/bibliographie/.

    Cited in Chapters 8, 11

  5. Arolsen Archives. “Deportation Lists from France.” Online collections, 1.1.9.1. https://collections.arolsen-archives.org/en/archive/1-1-9-1_1421000.

    Cited in Chapters 8, 11, 12

  6. Artin, Michael. Grothendieck Topologies: Notes on a Seminar. Harvard University, Department of Mathematics, 1962.

    Cited in Chapters 31, 33, 35

  7. Artin, Michael, Alexander Grothendieck, and Jean-Louis Verdier, eds. Théorie des topos et cohomologie étale des schémas (SGA 4), Tome 1. Lecture Notes in Mathematics 269. Springer, 1972. https://doi.org/10.1007/BFb0081551.

    Cited in Chapters Preface, 31, 33, 35, 36

  8. Artin, Michael, Alexander Grothendieck, and Jean-Louis Verdier, eds. Théorie des topos et cohomologie étale des schémas (SGA 4), Tome 2. Lecture Notes in Mathematics 270. Springer, 1972. https://doi.org/10.1007/BFb0061319.

    Cited in Chapters 31, 33, 35, 36

  9. Artin, Michael, Alexander Grothendieck, and Jean-Louis Verdier, eds. Théorie des topos et cohomologie étale des schémas (SGA 4), Tome 3. Lecture Notes in Mathematics 305. Springer, 1973. https://doi.org/10.1007/BFb0070714.

    Cited in Chapters 31, 33, 35, 36

  10. Artin, Michael, Allyn Jackson, David Mumford, and John Tate, eds. “Alexandre Grothendieck 1928–2014, Part 1.” Notices of the American Mathematical Society 63, no. 3 (2016): 242–55. https://doi.org/10.1090/noti1336.

    Cited in Chapters 31, 33, 35, 37, 38, 41

  11. Artin, Michael, Allyn Jackson, David Mumford, and John Tate, eds. “Alexandre Grothendieck 1928–2014, Part 2.” Notices of the American Mathematical Society 63, no. 4 (2016): 401–13. https://www.ams.org/notices/201604/.

    Cited in Chapters 31, 33, 35, 37, 38, 41, 42

  12. Artin, Michael, and Barry Mazur. Étale Homotopy. Lecture Notes in Mathematics 100. Springer, 1969. https://doi.org/10.1007/BFb0080957.

    Cited in Chapter 33

  13. Associated Press. “Alexander Grothendieck, Iconic Mathematician, Dies at Age 86.” CBS News, November 14, 2014. https://www.cbsnews.com/news/alexander-grothendieck-iconic-mathematician-dies-at-age-86/.

    Cited in Chapters 65, 66

  14. Association pour le souvenir du camp de Rieucros. “Synthèse.” https://camp-rieucros.com/.

    Cited in Chapters 7, 8

  15. Aubin, David. “A Cultural History of Catastrophes and Chaos: Around the Institut Des Hautes Études Scientifiques, France, 1958–1980.” PhD diss., Princeton University, 1998.

    Cited in Chapter 40

B

  1. Barbieri Viale, Luca. “Alexander Grothendieck: Enthusiasm and Creativity.” In Mathematical Lives. Springer, 2011. https://doi.org/10.1007/978-3-642-13606-1_25.

    Cited in Chapters 13, 15, 49

  2. Belyi, G. V. “On Galois Extensions of a Maximal Cyclotomic Field.” Translated by N. Koblitz. Mathematics of the USSR-Izvestiya 14, no. 2 (1980): 247–56. https://doi.org/10.1070/IM1980v014n02ABEH001096.

    Cited in Chapters 52, 55

  3. Berliner Adreßbuch für das Jahr 1929. August Scherl, 1929. https://digital.zlb.de/viewer/metadata/34115495_1929/1/.

    Cited in Chapters 2, 4, 6

  4. Berthelot, Pierre, Alexandre Grothendieck, and Luc Illusie, eds. Théorie des intersections et théorème de Riemann–Roch (SGA 6). Lecture Notes in Mathematics 225. Springer, 1971. https://doi.org/10.1007/BFb0066283.

    Cited in Chapters 31, 36, 37, 41

  5. Bibliothèque nationale de France. “Les manuscrits du mathématicien Alexandre Grothendieck entrent à la BnF.” September 29, 2023. https://www.bnf.fr/fr/les-manuscrits-du-mathematicien-alexandre-grothendieck-entrent-la-bnf.

    Cited in Chapters 61, 62, 63, 64, 66, 67, 70, 71, 72

  6. Bibliothèque nationale de France. NAF 29093. Fonds Alexandre Grothendieck. n.d. https://archivesetmanuscrits.bnf.fr/ark:/12148/cc126317b.

    Cited in Chapters 61, 62, 63, 64, 65, 66, 67, 71

  7. Bibliothèque nationale de France. “Reproduction des documents.” https://www.bnf.fr/fr/reproduction-des-documents.

    Cited in Chapters 67, 70, 72

  8. Bibliothèque nationale de France. “Reproduire une œuvre protégée au titre du droit d’auteur.” https://www.bnf.fr/fr/reproduire-une-oeuvre-protegee-au-titre-du-droit-dauteur.

    Cited in Chapters 67, 70, 72

  9. Bibliothèque nationale de France, and Société mathématique de France. “Alexandre Grothendieck, mathématicien et militant.” January 22, 2025. https://www.bnf.fr/fr/agenda/alexandre-grothendieck-mathematicien-et-militant-0.

    Cited in Chapters 67, 68, 72

  10. Bibliothèque nationale de France, and Société mathématique de France. “Les mille et une pages mathématiques d’Alexandre Grothendieck.” January 22, 2025. https://www.bnf.fr/fr/agenda/les-mille-et-une-pages-mathematiques-dalexandre-grothendieck.

    Cited in Chapters 67, 68, 69

  11. Bordois, Valéry. “Anti-Nuclear Activist Circulations in 1970s Europe.” In Encyclopédie d’histoire Numérique de l’Europe (EHNE). Sorbonne Université. https://ehne.fr/en/encyclopedia/themes/ecology-and-environment/ideas-actors-and-political-practices/anti-nuclear-activist-circulations-in-1970s-europe.

    Cited in Chapter 45

  12. Borel, Armand, and Jean-Pierre Serre. “Le théorème de Riemann–Roch.” Bulletin de la Société Mathématique de France 86 (1958): 97–136. https://doi.org/10.24033/bsmf.1500.

    Cited in Chapters 21, 22, 23, 24

  13. Bresciani, Giulio. “Some Implications Between Grothendieck’s Anabelian Conjectures.” Algebraic Geometry 8 (2021): 231–67. https://doi.org/10.14231/AG-2021-005.

    Cited in Chapter 53

  14. Brown, Ronald. “The Origins of Alexander Grothendieck’s *Pursuing Stacks*.” https://groupoids.org.uk/pstacks.html.

    Cited in Chapters 55, 58

  15. Buchsbaum, David A. “Exact Categories and Duality.” Transactions of the American Mathematical Society 80 (1955): 1–34. https://doi.org/10.1090/S0002-9947-1955-0074407-6.

    Cited in Chapters 20, 21

C

  1. Caramello, Olivia. Theories, Sites, Toposes: Relating and Studying Mathematical Theories Through Topos-Theoretic “Bridges”. Oxford University Press, 2018.

    Cited in Chapters 69, 72

  2. Cartan, Henri. Séminaire Henri Cartan, vol. 1 (1948–1949): Topologie algébrique. Secrétariat mathématique, 1949. https://www.numdam.org/issues/SHC_1948-1949__1_/.

    Cited in Chapter 16

  3. Cartan, Henri, and Samuel Eilenberg. Homological Algebra. Princeton Mathematical Series 19. Princeton University Press, 1956.

    Cited in Chapters 20, 21, 22, 24

  4. Cartier, Pierre. “A Country of Which Nothing Is Known but the Name: Grothendieck and ‘Motives’.” In Alexandre Grothendieck: A Mathematical Portrait, edited by Leila Schneps. International Press, 2014. https://www.landsburg.com/grothendieck/cartier.pdf.

    Cited in Chapter 43

  5. Cartier, Pierre. “A Mad Day’s Work: From Grothendieck to Connes and Kontsevich—The Evolution of Concepts of Space and Symmetry.” Bulletin of the American Mathematical Society 38, no. 4 (2001): 389–408. https://doi.org/10.1090/S0273-0979-01-00913-2.

    Cited in Chapters 33, 35, 36, 38, 40, 42

  6. Cartier, Pierre. “La folle journée, de Grothendieck à Connes et Kontsevich.” Publications Mathématiques de l’IHÉS S88 (1998): 23–42. https://www.numdam.org/item/PMIHES_1998__S88__23_0.pdf.

    Cited in Chapters 49, 51

  7. Centre for Grothendieckian Studies. “Correspondence.” https://csg.igrothendieck.org/correspondence/.

    Cited in Chapters 1, 50, 52, 53, 54, 63

  8. Centre for Grothendieckian Studies. “*La Clef Des Songes* Published by Éditions Du Sandre.” 2024. https://csg.igrothendieck.org/la-clef-des-songes-published-by-editions-du-sandre/.

    Cited in Chapters 62, 64, 67, 70, 71, 72

  9. Centre for Grothendieckian Studies. “Unpublished Works.” https://csg.igrothendieck.org/unpublished-works/.

    Cited in Chapters 62, 63

  10. Chai, Ching-Li, and Frans Oort. “Life and Work of Alexander Grothendieck.” Notices of the International Congress of Chinese Mathematicians 5, no. 1 (2017). https://www2.math.upenn.edu/~chai/AG/ChaiFO9-AG.pdf.

    Cited in Chapters 1, 3, 4, 5, 6, 61

  11. Cisinski, Denis-Charles. Les préfaisceaux comme modèles des types d’homotopie. Astérisque 308. Société Mathématique de France, 2006.

    Cited in Chapters 58, 59

  12. CNRS Le Journal. Disparition d’un génie des mathématiques. 2014. https://lejournal.cnrs.fr/articles/disparition-dun-genie-des-mathematiques.

    Cited in Chapters 6, 61, 65, 66, 67

  13. Code de la propriété intellectuelle. https://www.legifrance.gouv.fr/codes/texte_lc/LEGITEXT000006069414/.

    Cited in Chapters 67, 70, 72

  14. Comité français pour Yad Vashem. “Juliette Usach, dossier 4186.” https://yadvashem-france.org/dossier/nom/4186/.

    Cited in Chapters 9, 11

  15. Contou-Carrère, Carlos E. “Corps de classes local géométrique relatif.” Comptes rendus de l’Académie des sciences 292 (1981): 481–84.

    Cited in Chapter 50

  16. Contou-Carrère, Carlos E. “Jacobiennes généralisées globales relatives.” In The Grothendieck Festschrift, vol. 2. Progress in Mathematics 87. Birkhäuser, 1990.

    Cited in Chapter 50

  17. Contou-Carrère, Carlos E. “La jacobienne généralisée d’une courbe relative; construction et propriété universelle de factorisation.” Comptes rendus de l’Académie des sciences. Série A 289 (July 1979): 203–6.

    Cited in Chapter 50

  18. Curbera, Guillermo P. Mathematicians of the World, Unite! The International Congress of Mathematicians—A Human Endeavor. A K Peters, 2009.

    Cited in Chapter 36

D

  1. Deligne, Pierre. Cohomologie étale (SGA 4½). Lecture Notes in Mathematics 569. Springer, 1977. https://doi.org/10.1007/BFb0091516.

    Cited in Chapters 31, 33, 34, 57

  2. Deligne, Pierre. “La conjecture de Weil I.” Publications Mathématiques de l’IHÉS 43 (1974): 273–307. https://www.numdam.org/item/PMIHES_1974__43__273_0/.

    Cited in Chapters 31, 34, 35, 36, 39, 49, 50

  3. Deligne, Pierre. “Quelques idées maîtresses de l’œuvre de A. Grothendieck.” In Matériaux pour l’histoire des mathématiques au XXe siècle. Séminaires et Congrès 3. Société Mathématique de France, 1998.

    Cited in Chapter 38

  4. Deligne, Pierre, and Nicholas Katz, eds. Groupes de monodromie en géométrie algébrique (SGA 7 II). Lecture Notes in Mathematics 340. Springer, 1973. https://doi.org/10.1007/BFb0060505.

    Cited in Chapters 37, 41

  5. Demazure, Michel, and Alexandre Grothendieck, eds. Schémas en groupes I: Propriétés générales des schémas en groupes (SGA 3). Lecture Notes in Mathematics 151. Springer, 1970. https://doi.org/10.1007/BFb0058993.

    Cited in Chapters 31, 35, 36

  6. Demazure, Michel, and Alexandre Grothendieck, eds. Schémas en groupes II: Groupes de type multiplicatif, et structure des schémas en groupes généraux (SGA 3). Lecture Notes in Mathematics 152. Springer, 1970. https://doi.org/10.1007/BFb0059005.

    Cited in Chapters 31, 35, 36

  7. Demazure, Michel, and Alexandre Grothendieck, eds. Schémas en groupes III: Structure des schémas en groupes réductifs (SGA 3). Lecture Notes in Mathematics 153. Springer, 1970. https://doi.org/10.1007/BFb0059027.

    Cited in Chapters 31, 35, 36

  8. Deutsches Historisches Museum. “Transfer of Power and ‘National Revolution’.” Hitler and the Germans: Nation and Crime. https://www.dhm.de/archiv/ausstellungen/hitler-und-die-deutschen/en/machtuebertragung.html.

    Cited in Chapters 4, 5, 6

  9. Dieudonné, Jean. “A. Grothendieck’s Early Work (1950–1960).” K-Theory 3, no. 4 (1989): 299–306. https://doi.org/10.1007/BF00584523.

    Cited in Chapters 16, 17, 18, 19, 24

  10. Dieudonné, Jean, and Laurent Schwartz. “La dualité dans les espaces (F) et (LF).” Annales de l’Institut Fourier 1 (1949): 61–101. https://doi.org/10.5802/aif.8.

    Cited in Chapter 17

  11. Drinfeld, V. G. “On Quasitriangular Quasi-Hopf Algebras and on a Group That Is Closely Connected with Gal($\overline{\mathbb{Q}}/\mathbb{Q}$).” Leningrad Mathematical Journal 2, no. 4 (1991): 829–60.

    Cited in Chapter 55

  12. Dwork, Bernard. “On the Rationality of the Zeta Function of an Algebraic Variety.” American Journal of Mathematics 82, no. 3 (1960): 631–48. https://doi.org/10.2307/2372974.

    Cited in Chapters 31, 34

E

  1. École normale supérieure – PSL. “Exposition: Grothendieck, le temps des réflexions, 1973–1991.” https://www.math.ens.psl.eu/bibliotheque/exposition-grothendieck-le-temps-des-reflexions-1973-1991/.

    Cited in Chapters 67, 68, 72

  2. Eilenberg, Samuel, and Saunders Mac Lane. “General Theory of Natural Equivalences.” Transactions of the American Mathematical Society 58 (1945): 231–94. https://doi.org/10.1090/S0002-9947-1945-0013131-6.

    Cited in Chapters 21, 22, 24

  3. European Commission. “Lieu de Mémoire Au Chambon-Sur-Lignon (France).” European Heritage Label. https://culture.ec.europa.eu/cultural-heritage/initiatives-and-success-stories/european-heritage-label/european-heritage-label-sites/lieu-de-memoire-au-chambon-sur-lignon-france.

    Cited in Chapters 9, 12

F

  1. Fondation pour la Mémoire de la Shoah. “Mémorial du camp de Rieucros, Mende (48).” https://www.fondationshoah.org/lieux-de-memoire/memorial-du-camp-de-rieucros-mende-48.

    Cited in Chapter 8

G

  1. Geisser, Thomas, Bruno Kahn, Fabien Morel, and et al. “Motives and Homotopy Theory of Schemes.” Oberwolfach Reports 1 (2004). https://ems.press/journals/owr/articles/698.

    Cited in Chapter 69

  2. Groth, Moritz. “Derivators, Pointed Derivators and Stable Derivators.” Algebraic & Geometric Topology 13, no. 1 (2013): 313–74. https://doi.org/10.2140/agt.2013.13.313.

    Cited in Chapter 64

  3. Grothendieck, Alexander. A General Theory of Fibre Spaces with Structure Sheaf. NSF research report. University of Kansas, 1955. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/unpubtexts.php.

    Cited in Chapters 19, 20, 21, 22, 24

  4. Grothendieck, Alexander. “Brief an G. Faltings.” In Geometric Galois Actions 1: Around Grothendieck’s Esquisse d’un Programme, edited by Leila Schneps and Pierre Lochak. London Mathematical Society Lecture Note Series 242. Cambridge University Press, 1997. https://doi.org/10.1017/CBO9780511758874.004.

    Cited in Chapters 55, 57

  5. Grothendieck, Alexander. Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux (SGA 2). Advanced Studies in Pure Mathematics 2. North-Holland, 1968. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/SGA2.pdf.

    Cited in Chapters 31, 35, 36

  6. Grothendieck, Alexander. “On the de Rham Cohomology of Algebraic Varieties.” Publications Mathématiques de l’IHÉS 29 (1966): 95–103. https://www.numdam.org/item/PMIHES_1966__29__95_0/.

    Cited in Chapters 31, 36, 37

  7. Grothendieck, Alexander. “Sketch of a Programme.” In Geometric Galois Actions 1: Around Grothendieck’s Esquisse d’un Programme, edited by Leila Schneps and Pierre Lochak. London Mathematical Society Lecture Note Series 242. Cambridge University Press, 1997. https://doi.org/10.1017/CBO9780511758874.017.

    Cited in Chapter 55

  8. Grothendieck, Alexander. “Standard Conjectures on Algebraic Cycles.” Algebraic Geometry: International Colloquium, Tata Institute, Bombay, 1968 (London), 1969, 193–99. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/StandardConjs.pdf.

    Cited in Chapters 34, 38, 39

  9. Grothendieck, Alexander. “Sur quelques points d’algèbre homologique, I.” Tohoku Mathematical Journal 9, no. 2 (1957): 119–221. https://doi.org/10.2748/tmj/1178244839.

    Cited in Chapters 19, 20, 21, 30, 33

  10. Grothendieck, Alexander. “The Cohomology Theory of Abstract Algebraic Varieties.” Proceedings of the International Congress of Mathematicians, Edinburgh 1958 (Cambridge), 1960, 103–18. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/CohomologyVarieties.pdf.

    Cited in Chapters 23, 24, 25, 30, 31, 33, 34

  11. Grothendieck, Alexander. “The Responsibility of the Scientist Today.” In Queen’s Papers in Pure and Applied Mathematics, translated by Gordon Edwards. no. 27. Preprint, 1971. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Responsibility.pdf.

    Cited in Chapters 43, 45, 46, 47

  12. Grothendieck, Alexander, and Jean Dieudonné. “Éléments de géométrie algébrique I: Le langage des schémas.” Publications Mathématiques de l’IHÉS 4 (1960). https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/EGA/EGAI.pdf.

    Cited in Chapters 25, 26, 28, 29, 30

  13. Grothendieck, Alexander, and Jean Dieudonné. “Éléments de géométrie algébrique II: Étude globale élémentaire de quelques classes de morphismes.” Publications Mathématiques de l’IHÉS 8 (1961): 5–222. https://www.numdam.org/item/PMIHES_1961__8__5_0/.

    Cited in Chapters 26, 27, 29, 30, 31, 32, 35

  14. Grothendieck, Alexander, and Jean Dieudonné. “Éléments de géométrie algébrique III: Étude cohomologique des faisceaux cohérents, première partie.” Publications Mathématiques de l’IHÉS 11 (1961). https://www.numdam.org/item/PMIHES_1961__11__5_0/.

    Cited in Chapters 27, 28, 29, 30, 31, 35

  15. Grothendieck, Alexander, and Jean Dieudonné. “Éléments de géométrie algébrique III: Étude cohomologique des faisceaux cohérents, seconde partie.” Publications Mathématiques de l’IHÉS 17 (1963): 5–91. https://www.numdam.org/item/PMIHES_1963__17__5_0/.

    Cited in Chapters 31, 35

  16. Grothendieck, Alexander, and Jean Dieudonné. “Éléments de géométrie algébrique IV: Étude locale des schémas et des morphismes de schémas, première partie.” Publications Mathématiques de l’IHÉS 20 (1964). https://www.numdam.org/item/PMIHES_1964__20__5_0/.

    Cited in Chapters 31, 32, 33, 35

  17. Grothendieck, Alexander, and Jean Dieudonné. “Éléments de géométrie algébrique IV: Étude locale des schémas et des morphismes de schémas, quatrième partie.” Publications Mathématiques de l’IHÉS 32 (1967). https://www.numdam.org/item/PMIHES_1967__32__5_0/.

    Cited in Chapters 31, 36, 37

  18. Grothendieck, Alexander, and Jean Dieudonné. “Éléments de géométrie algébrique IV: Étude locale des schémas et des morphismes de schémas, seconde partie.” Publications Mathématiques de l’IHÉS 24 (1965). https://www.numdam.org/item/PMIHES_1965__24__5_0/.

    Cited in Chapters 31, 32, 33, 35

  19. Grothendieck, Alexander, and Jean Dieudonné. “Éléments de géométrie algébrique IV: Étude locale des schémas et des morphismes de schémas, troisième partie.” Publications Mathématiques de l’IHÉS 28 (1966). https://www.numdam.org/item/PMIHES_1966__28__5_0/.

    Cited in Chapters 31, 32, 33, 35, 36, 37

  20. Grothendieck, Alexander, and Jean-Pierre Serre. Correspondance Grothendieck–Serre. Edited by Pierre Colmez and Jean-Pierre Serre. Documents Mathématiques 2. Société Mathématique de France, 2001. https://smf.emath.fr/publications/correspondance-grothendieck-serre.

    Cited in Chapters 20, 23, 24, 25, 26, 27, 28, 29, 30, 38

  21. Grothendieck, Alexander, and Jean-Pierre Serre. Grothendieck–Serre Correspondence: Bilingual Edition. Edited by Pierre Colmez and Jean-Pierre Serre. Translated by Catriona Maclean. American Mathematical Society; Société Mathématique de France, 2004. https://bookstore.ams.org/view?ProductCode=CGS.

    Cited in Chapters 31, 32, 35

  22. Grothendieck, Alexandre. À la Poursuite des Champs (Pursuing Stacks). 1983. Manuscript. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/PursuingStacksOrig.pdf.

    Cited in Chapters 53, 54, 58, 59, 68, 69, 70

  23. Grothendieck, Alexandre. “Allons-nous continuer la recherche scientifique ?” Lecture at CERN, Geneva, January 27, 1972. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Allonsnous.pdf.

    Cited in Chapters 43, 44, 46, 47, 48

  24. Grothendieck, Alexandre. Allons-nous continuer la recherche scientifique? (audio recording). CERN, January 27, 1972. https://cds.cern.ch/record/912518.

    Cited in Chapter 46

  25. Grothendieck, Alexandre. Aux membres du Comité scientifique [de l’IHÉS]. 1970. https://csg.igrothendieck.org/wp-content/uploads/2024/10/L202u.pdf.

    Cited in Chapters 40, 41, 42, 43

  26. Grothendieck, Alexandre. “Comment je suis devenu militant ?” Survivre et Vivre, January 1971. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Militant.pdf.

    Cited in Chapters 43, 45, 47, 48

  27. Grothendieck, Alexandre. “Complements and corrections to Récoltes et Semailles.” 1986. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/G-RS-Compl.pdf.

    Cited in Chapter 56

  28. Grothendieck, Alexandre. “Critères de compacité dans les espaces fonctionnels généraux.” American Journal of Mathematics 74, no. 1 (1952): 168–86. https://doi.org/10.2307/2372076.

    Cited in Chapters 17, 18

  29. Grothendieck, Alexandre. “Critères généraux de compacité dans les espaces vectoriels localement convexes. Pathologie des espaces (LF).” Comptes rendus hebdomadaires des séances de l’Académie des sciences 231 (1950): 940–41.

    Cited in Chapter 17

  30. Grothendieck, Alexandre. “Déclaration d’intention de non-publication.” 2010. https://csg.igrothendieck.org/wp-content/uploads/2025/02/U85d.pdf.

    Cited in Chapters 63, 65, 67, 70, 71, 72

  31. Grothendieck, Alexandre. “En guise de programme pour le cours de C4 « Introduction à la recherche » 1978/79.” Institutional course document. Université des Sciences et Techniques du Languedoc, 1978. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Guise1.jpg.

    Cited in Chapters 49, 50, 51

  32. Grothendieck, Alexandre. Espaces vectoriels topologiques. Instituto de Matemática Pura e Aplicada, Universidade de São Paulo, 1954.

    Cited in Chapters 19, 24

  33. Grothendieck, Alexandre. “Esquisse d’un Programme.” In Geometric Galois Actions 1: Around Grothendieck’s Esquisse d’un Programme, edited by Leila Schneps and Pierre Lochak. London Mathematical Society Lecture Note Series 242. Cambridge University Press, 1997. https://doi.org/10.1017/CBO9780511758874.003.

    Cited in Chapters 49, 50, 51, 52, 53, 55, 68, 69, 72

  34. Grothendieck, Alexandre. “Formule de Lefschetz et rationalité des fonctions L.” Exposé 279. Séminaire Bourbaki, vol. 9 (1964–1966), 1966, 41–55. https://www.numdam.org/item/SB_1964-1966__9__41_0/.

    Cited in Chapters 34, 36

  35. Grothendieck, Alexandre. “Géométrie formelle et géométrie algébrique.” Exposé 182. Séminaire Bourbaki, vol. 5 (1958–1960), 1960, 193–220. https://www.numdam.org/item/SB_1958-1960__5__193_0/.

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  36. Grothendieck, Alexandre. “Groupes de Barsotti-Tate et cristaux.” Actes du Congrès international des mathématiciens (Nice, 1970) (Paris) 1 (1971): 431–36.

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  37. Grothendieck, Alexandre. Groupes de Barsotti-Tate et cristaux de Dieudonné. Séminaire de mathématiques supérieures 45. Presses de l’Université de Montréal, 1974.

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  38. Grothendieck, Alexandre, ed. Groupes de monodromie en géométrie algébrique (SGA 7 I). Lecture Notes in Mathematics 288. Springer, 1972. https://doi.org/10.1007/BFb0068688.

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  39. Grothendieck, Alexandre. “Instructions générales sur la préparation des manuscrits.” September 1967. H3.1.2.1/1967.36. Archives de l’IHÉS. https://archives.ihes.fr/document/H3_1_2_1_1967_36.pdf.

    Cited in Chapters 37, 41

  40. Grothendieck, Alexandre. La Clef des Songes — ou Dialogue avec le Bon Dieu. 1987. Manuscript. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/ClefI-II-III.pdf.

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  41. Grothendieck, Alexandre. La Clef des Songes, ou Dialogue avec le bon Dieu. 1987. Manuscript. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/ClefI-II-III.pdf.

    Cited in Chapter 59

  42. Grothendieck, Alexandre. La Longue Marche à travers la théorie de Galois. 1981. Manuscript. Cote 140. Archives Grothendieck, Université de Montpellier. https://grothendieck.umontpellier.fr/.

    Cited in Chapters 52, 53

  43. Grothendieck, Alexandre. “La théorie des classes de Chern.” Bulletin de la Société Mathématique de France 86 (1958): 137–54. https://doi.org/10.24033/bsmf.1501.

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  44. Grothendieck, Alexandre. La vie mathématique en République Démocratique du Vietnam. 1967. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/vietnam.pdf.

    Cited in Chapters 37, 42

  45. Grothendieck, Alexandre. Les Mutants. n.d. Manuscript. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Mutants.pdf.

    Cited in Chapter 59

  46. Grothendieck, Alexandre. Letter to Luca Barbieri Viale. 1991. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Letters/GrothBarbieri.pdf.

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  47. Grothendieck, Alexandre. Letter to the director of the IHÉS confirming his departure. 1970. https://csg.igrothendieck.org/wp-content/uploads/2024/10/L203u.pdf.

    Cited in Chapters 40, 41, 42, 43

  48. Grothendieck, Alexandre. Lettre à A. Y. 1991. https://csg.igrothendieck.org/wp-content/uploads/2025/10/L43d.pdf.

    Cited in Chapters 60, 61, 62

  49. Grothendieck, Alexandre. Lettre à L. Illusie. 2010. https://csg.igrothendieck.org/wp-content/uploads/2025/02/L155u.pdf.

    Cited in Chapters 61, 63, 65

  50. Grothendieck, Alexandre. Lettre d’Alexandre Grothendieck à Robert Thomason. Edited by Matthias Künzer. 1991. https://webusers.imj-prg.fr/~georges.maltsiniotis/groth/ps/lettreder.pdf.

    Cited in Chapters 58, 59, 60, 61, 64

  51. Grothendieck, Alexandre. “Lettre ouverte refusant le prix Crafoord.” July 9, 1988. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Letters/crafoord.pdf.

    Cited in Chapters 57, 60

  52. Grothendieck, Alexandre. Plaidoirie sur le délit d’hospitalité: 1978. With Giorgio Agamben and Hervé Le Tellier. Tracts 75. Gallimard, 2026. https://catalogue.bnf.fr/ark:/12148/cb48746393q.

    Cited in Chapter 51

  53. Grothendieck, Alexandre. Produits tensoriels topologiques et espaces nucléaires. Memoirs of the American Mathematical Society 16. American Mathematical Society, 1955. https://doi.org/10.1090/memo/0016.

    Cited in Chapters 18, 19, 20

  54. Grothendieck, Alexandre. Pursuing Stacks (À La Poursuite Des Champs). Vol. 1, edited by Georges Maltsiniotis. Documents Mathématiques 20. Société Mathématique de France, 2022. https://smf.emath.fr/sites/default/files/2022-06/DM20-version-def__sample.pdf.

    Cited in Chapters 58, 69

  55. Grothendieck, Alexandre. Récoltes et semailles I, II: Réflexions et témoignage sur un passé de mathématicien. Tel. Gallimard, 2022.

    Cited in Chapters 67, 70, 71, 72

  56. Grothendieck, Alexandre. Récoltes et semailles, I: Réflexions et témoignage sur un passé de mathématicien. Gallimard, 2022. https://openlibrary.org/books/OL39209113M.

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  57. Grothendieck, Alexandre. Récoltes et semailles, II: Réflexions et témoignage sur un passé de mathématicien. Gallimard, 2022. https://openlibrary.org/books/OL39209114M.

    Cited in Chapter 56

  58. Grothendieck, Alexandre. Récoltes Et Semailles, Partial Japanese Translation. Translated by Yūichi Tsuji. 3 vols. Gendai Sūgakusha, 1989–1993.

    Cited in Chapters 56, 57

  59. Grothendieck, Alexandre. Récoltes et Semailles: Réflexions et témoignage sur un passé de mathématicien. Université des Sciences et Techniques du Languedoc and Centre National de la Recherche Scientifique, 1986. Typescript. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/RS0orig.pdf.

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  60. Grothendieck, Alexandre. Récoltes et Semailles: Réflexions et témoignage sur un passé de mathématicien. Edited by Mateo Carmona. 1985. Manuscript. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/RetSbis.pdf.

    Cited in Chapters 1, 4, 5, 6, 49, 50, 51, 54, 56, 57, 61

  61. Grothendieck, Alexandre. “Remous au Collège de France.” Survivre … et vivre, 1971. https://csg.igrothendieck.org/wp-content/uploads/2024/09/U59d.pdf.

    Cited in Chapters 42, 46, 47, 48

  62. Grothendieck, Alexandre. “Responsabilité du savant dans le monde d’aujourd’hui.” Lecture at the Université d’Orsay, June 1970. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Savant.pdf.

    Cited in Chapters 42, 43, 45

  63. Grothendieck, Alexandre. “Résumé de la théorie métrique des produits tensoriels topologiques.” Boletim da Sociedade de Matemática de São Paulo 8 (1953): 1–79. https://www.revistas.usp.br/resenhasimeusp/article/view/74836.

    Cited in Chapter 18

  64. Grothendieck, Alexandre. “Résumé des résultats essentiels dans la théorie des produits tensoriels topologiques et des espaces nucléaires.” Annales de l’Institut Fourier 4 (1952): 73–112. https://doi.org/10.5802/aif.46.

    Cited in Chapters 18, 19

  65. Grothendieck, Alexandre, ed. Revêtements étales et groupe fondamental (SGA 1). Lecture Notes in Mathematics 224. Springer, 1971. https://doi.org/10.1007/BFb0058656.

    Cited in Chapters 29, 30, 31, 32, 33, 35, 36

  66. Grothendieck, Alexandre. “Sur certains espaces de fonctions holomorphes. I, II.” Journal für die reine und angewandte Mathematik 192 (1953): 35–64, 77–95. https://doi.org/10.1515/crll.1953.192.35.

    Cited in Chapter 18

  67. Grothendieck, Alexandre. “Sur la complétion du dual d’un espace vectoriel localement convexe.” Comptes rendus hebdomadaires des séances de l’Académie des sciences 230 (1950): 605–6.

    Cited in Chapter 17

  68. Grothendieck, Alexandre. “Sur les faisceaux algébriques et les faisceaux analytiques cohérents.” Exposé 2. Séminaire Henri Cartan, vol. 9 (1956–1957), 1957. https://www.numdam.org/item/SHC_1956-1957__9__A2_0/.

    Cited in Chapters 21, 22, 24

  69. Grothendieck, Alexandre. “Sur quelques points d’algèbre homologique, II.” Tôhoku Mathematical Journal, Second Series 9, no. 3 (1957): 185–221. https://doi.org/10.2748/tmj/1178244774.

    Cited in Chapters 20, 21

  70. Grothendieck, Alexandre. “Technique de descente et théorèmes d’existence en géométrie algébrique. I. Généralités. Descente par morphismes fidèlement plats.” Exposé 190. Séminaire Bourbaki, vol. 5 (1958–1960), 1960, 299–327. https://www.numdam.org/item/SB_1958-1960__5__299_0/.

    Cited in Chapters 25, 26, 27, 28, 29, 30, 31, 32

  71. Grothendieck, Alexandre. “Technique de descente et théorèmes d’existence en géométrie algébrique. II. Le théorème d’existence en théorie formelle des modules.” Exposé 195. Séminaire Bourbaki, vol. 5 (1958–1960), 1960, 369–90. https://www.numdam.org/item/SB_1958-1960__5__369_0/.

    Cited in Chapters 25, 27, 28, 30, 32

  72. Grothendieck, Alexandre. “Technique de descente et théorèmes d’existence en géométrie algébrique. V. Les schémas de Picard: Théorèmes d’existence.” Exposé 232. Séminaire Bourbaki, vol. 7 (1961–1962), 1962, 143–61. https://www.numdam.org/item/SB_1961-1962__7__143_0/.

    Cited in Chapters 28, 30, 32

  73. Grothendieck, Alexandre. “Technique de descente et théorèmes d’existence en géométrie algébrique. VI. Les schémas de Picard: Propriétés générales.” Exposé 236. Séminaire Bourbaki, vol. 7 (1961–1962), 1962, 221–43. https://www.numdam.org/item/SB_1961-1962__7__221_0/.

    Cited in Chapters 28, 30, 32

  74. Grothendieck, Alexandre. “Techniques de construction et théorèmes d’existence en géométrie algébrique. III. Préschémas quotients.” Exposé 212. Séminaire Bourbaki, vol. 6 (1960–1961), 1961, 99–118. https://www.numdam.org/item/SB_1960-1961__6__99_0/.

    Cited in Chapters 27, 28, 30, 32

  75. Grothendieck, Alexandre. “Techniques de construction et théorèmes d’existence en géométrie algébrique. IV. Les schémas de Hilbert.” Exposé 221. Séminaire Bourbaki, vol. 6 (1960–1961), 1961, 249–76. https://www.numdam.org/item/SB_1960-1961__6__249_0/.

    Cited in Chapters 27, 28, 30, 32

  76. Grothendieck, Alexandre. “Théorèmes de dualité pour les faisceaux algébriques cohérents.” Exposé 149. Séminaire Bourbaki, vol. 4 (1956–1958), 1958, 169–93. https://www.numdam.org/item/SB_1956-1958__4__169_0/.

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  77. Grothendieck, Alexandre, and Ronald Brown. Correspondance Alexandre Grothendieck – Ronald Brown. Edited by Matthias Künzer. n.d. Accessed August 22, 2026. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Letters/LettersGrothendieckRBrown.pdf.

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  78. Grothendieck, Hanka. Eine Frau. n.d. Unpublished autobiographical novel.

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    Cited in Chapter 6

  2. Réseau national des bibliothèques de mathématiques. “Archives mathématiques d’Alexandre Grothendieck: 18 000 documents en libre accès.” 2017. https://www.rnbm.org/archives-mathematiques-dalexandre-grothendieck-18-000-documents-en-libre-acces/.

    Cited in Chapters 67, 68, 72

S

  1. Schapira, Pierre. “A Truncated Manuscript.” Inference, December 2022. https://inference-review.com/article/a-truncated-manuscript.

    Cited in Chapters 69, 70, 71

  2. Scharlau, Winfried. Wer ist Alexander Grothendieck? Anarchie, Mathematik, Spiritualität, Einsamkeit. Teil 1: Anarchie. Books on Demand, 2011.

    Cited in Chapters 11, 12, 33, 35, 36

  3. Scharlau, Winfried. Who Is Alexander Grothendieck? Anarchy, Mathematics, Spirituality, Solitude. Part 1: Anarchy. Translated by Melissa Schneps. n.d. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Scharlau/Anarchy.pdf.

    Cited in Chapters 1, 2, 3, 4, 5, 6

  4. Scharlau, Winfried. Who Is Alexander Grothendieck? Anarchy, Mathematics, Spirituality, Solitude. Part 3: Spirituality. Translated by Melissa Schneps. n.d. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Spirituality/.

    Cited in Chapters 43, 44, 47, 48, 55, 56, 57, 58, 59, 60, 61, 62, 63

  5. Scharlau, Winfried. “Who Is Alexander Grothendieck?” Translated by D. Kotschick. Notices of the American Mathematical Society, September 2008. https://www.ams.org/notices/200808/tx080800930p.pdf.

    Cited in Chapters 13, 14, 15, 16, 17, 18, 40, 42

  6. Schneps, Leila. “A Brief Timeline of Grothendieck’s Life.” The Grothendieck Circle. Accessed August 23, 2026. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/timeline.html.

    Cited in Chapters 49, 60, 61

  7. Schneps, Leila, ed. Alexandre Grothendieck: A Mathematical Portrait. International Press, 2014.

    Cited in Chapters 31, 33, 35

  8. Schneps, Leila. “Grothendieck’s ‘Long March Through Galois Theory’.” In Geometric Galois Actions 1: Around Grothendieck’s Esquisse d’un Programme, edited by Leila Schneps and Pierre Lochak. London Mathematical Society Lecture Note Series 242. Cambridge University Press, 1997. https://webusers.imj-prg.fr/~leila.schneps/SchnepsLM.pdf.

    Cited in Chapters 52, 53

  9. Schneps, Leila, ed. The Grothendieck Theory of Dessins d’Enfants. London Mathematical Society Lecture Note Series 200. Cambridge University Press, 1994.

    Cited in Chapters 55, 57, 61

  10. Schneps, Leila, and Pierre Lochak, eds. Geometric Galois Actions 1: Around Grothendieck’s Esquisse d’un Programme. London Mathematical Society Lecture Note Series 242. Cambridge University Press, 1997. https://doi.org/10.1017/CBO9780511758874.

    Cited in Chapters 49, 50, 51, 52, 53, 55, 61, 69

  11. Scholze, Peter. “Étale Cohomology of Diamonds.” Preprint, arXiv:1709.07343. 2017. https://arxiv.org/abs/1709.07343.

    Cited in Chapter 69

  12. Schwartz, Laurent. Séminaire Schwartz, année 1953/54: Produits tensoriels topologiques d’espaces vectoriels topologiques. Espaces vectoriels topologiques nucléaires. Applications. Secrétariat mathématique, 1954. https://www.numdam.org/actas/SLS/.

    Cited in Chapter 18

  13. Schwartz, Laurent. Un mathématicien aux prises avec le siècle. Odile Jacob, 1997.

    Cited in Chapters 17, 18

  14. Serre, Jean-Pierre. “Faisceaux algébriques cohérents.” Annals of Mathematics 61, no. 2 (1955): 197–278. https://doi.org/10.2307/1969915.

    Cited in Chapters 20, 21, 22, 23, 24, 25, 26, 28, 30, 31, 33

  15. Serre, Jean-Pierre. “Géométrie algébrique et géométrie analytique.” Annales de l’Institut Fourier 6 (1956): 1–42. https://doi.org/10.5802/aif.59.

    Cited in Chapters 20, 21, 22, 24, 25, 31, 33

  16. Serre, Jean-Pierre. “Rapport au comité Fields sur les travaux de A. Grothendieck.” K-Theory 3, no. 3 (1989): 199–204. https://doi.org/10.1007/BF00533369.

    Cited in Chapters 18, 37

  17. Society of American Archivists. “SAA Core Values Statement and Code of Ethics.” https://www2.archivists.org/statements/saa-core-values-statement-and-code-of-ethics.

    Cited in Chapters 67, 68, 70, 71

  18. “Summary of *La Clef Des Songes*.” https://www.landsburg.com/grothendieck/clef.pdf.

    Cited in Chapter 62

  19. Survivre … et vivre. Paris, 1970–1975. https://science-societe.fr/survivre/.

    Cited in Chapters 42, 43, 44, 45, 46, 48

T

  1. Tamagawa, Akio. “The Grothendieck Conjecture for Affine Curves.” Compositio Mathematica 109, no. 2 (1997): 135–94. https://doi.org/10.1023/A:1000114400142.

    Cited in Chapters 55, 57

  2. Tate, John. “Algebraic Cycles and Poles of Zeta Functions.” In Arithmetical Algebraic Geometry, edited by O. F. G. Schilling. Harper & Row, 1965.

    Cited in Chapters 34, 35

  3. The Grothendieck Circle. “A Brief Description of *La Clef Des Songes*.” https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Clefsummary.pdf.

    Cited in Chapter 59

  4. The Grothendieck Circle. “Bibliographie d’Alexandre Grothendieck.” Accessed August 23, 2026. https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/GrothBiblio.pdf.

    Cited in Chapters 49, 50, 52

  5. The Grothendieck Circle. “Grothendieck’s Non-Mathematical Writings.” https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Mathematics/writings.php.

    Cited in Chapters 62, 66

  6. The Grothendieck Circle. “Unpublished Mathematical Texts.” https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/unpubtexts.php.

    Cited in Chapter 60

  7. The Stacks Project Authors. The Stacks Project. 2026. https://stacks.math.columbia.edu.

    Cited in Chapters 27, 28, 32, 33, 69, 72

  8. Toën, Bertrand. “Derived Algebraic Geometry.” EMS Surveys in Mathematical Sciences 1, no. 2 (2014): 153–240. https://arxiv.org/abs/1401.1044.

    Cited in Chapters 69, 72

  9. Topçu, Sezin. “Les physiciens dans le mouvement antinucléaire: Entre science, expertise et politique.” Cahiers d’histoire. Revue d’histoire critique, no. 102 (2007). https://journals.openedition.org/chrhc/214.

    Cited in Chapter 45

U

  1. United Nations Archives Geneva. League of Nations, Refugees Mixed Archival Group (Nansen Fonds). n.d. https://archives.ungeneva.org/refugees-mixed-archival-group-nansen-fonds.

    Cited in Chapters 5, 6

  2. United States Holocaust Memorial Museum. “1933: Key Dates.” Holocaust Encyclopedia. https://encyclopedia.ushmm.org/content/en/article/1933-key-dates.

    Cited in Chapters 4, 5, 6

  3. United States Holocaust Memorial Museum. “Photographs and Records of the La Guespy Children’s Home.” Collections search records. https://collections.ushmm.org/search/catalog/pa20963.

    Cited in Chapter 9

  4. Université de Montpellier. “28 000 pages d’Alexandre Grothendieck.” May 10, 2017. https://www.umontpellier.fr/articles/28-000-pages-dalexandre-grothendieck.

    Cited in Chapters 49, 52, 53, 63, 64, 65, 66, 67, 68, 72

  5. Université de Montpellier. “À la recherche d’Alexandre Grothendieck.” LUM, January 19, 2016. https://www.umontpellier.fr/articles/lum1-a-la-recherche-dalexandre-grothendieck.

    Cited in Chapters 49, 51, 52, 53

  6. Université de Montpellier. “Archives Grothendieck.” https://grothendieck.umontpellier.fr/.

    Cited in Chapters 59, 60, 61, 63, 64, 65, 66, 68

  7. Université de Montpellier. “Campus Triolet: un parvis dénommé Alexander Grothendieck (1928–2014).” May 21, 2024. https://www.umontpellier.fr/articles/campus-triolet-un-parvis-denomme-alexander-grothendieck-1928-2014.

    Cited in Chapter 49

  8. Université de Montpellier. “Grothendieck: 18,000 Pages Now Available.” May 11, 2017. https://sciences.edu.umontpellier.fr/en/2017/05/11/grothendieck-18000-pages-desormais-accessibles/.

    Cited in Chapters 67, 68

  9. Université de Montpellier. “Patrimoine documentaire et Archives.” Accessed August 23, 2026. https://www.umontpellier.fr/universite/patrimoine/patrimoine-documentaire-et-archives.

    Cited in Chapter 49

W

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    Cited in Chapters 65, 66

  2. Weibel, Charles A. “History of Homological Algebra.” In History of Topology, edited by I. M. James. Elsevier, 1999. https://doi.org/10.1016/B978-044482375-5/50029-8.

    Cited in Chapters 19, 20, 21, 22, 24

  3. Weil, André. “Numbers of Solutions of Equations in Finite Fields.” Bulletin of the American Mathematical Society 55, no. 5 (1949): 497–508. https://doi.org/10.1090/S0002-9904-1949-09219-4.

    Cited in Chapter 34

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    Cited in Chapter 49

  5. Wikiquote. “Alexandre Grothendieck.” Accessed August 22, 2026. https://fr.wikiquote.org/wiki/Alexandre_Grothendieck.

    Cited in Chapters 49, 51, 53, 54

Y

  1. Yad Vashem. Le Chambon-Sur-Lignon. n.d. https://www.yadvashem.org/odot_pdf/Microsoft%20Word%20-%206403.pdf.

    Cited in Chapter 9

  2. Yoneda, Nobuo. “On the Homology Theory of Modules.” Journal of the Faculty of Science, University of Tokyo, Section I 7 (1954): 193–227.

    Cited in Chapter 28