0.1 Doctoral theses supervised by Alexander Grothendieck

(original list in French)

0.1.1 An incomplete list of “theses directed by A. Grothendieck”:

1. Schemes of reductive groups, by M. Demazure [1] Schémas en groupes réductifs; short version of the thesis by M. Demazure, published in Bull. SMF. Mém 93 (1965), 369-413. (Demazure’s thesis is published “in totto” in SGA 3.
2. Derived categories in l-adic cohomology. [2] Catégories dérivées en cohomologie l’-adique, (1969), thesis of J.-P. Jouanolou.
3. Ample sheaves over group schemes and homogeneous spaces, thesis of Michel Raynaud, published in Springer Lecture Notes 119 (1970). [3] Faisceaux amples sur les schémas en groupes et espaces homogénes; thesis of Michel Raynaud.
4. Lefschetz theorems in coherent cohomology nad etale cohomology; [4] Thèorémes de Lefschetz en cohomologie cohérente et en cohomologie étale; thesis of Michéle Raynaud, Bull. SMF Mém. 41 (1976).
5. Complexe cotangent et déformations, Springer Lecture Notes 239 (1971); thesis of Luc Illusie.
6. (On) Tannakian Categories, Thesis by Saavedra Rivano, published in Springer Lecture Notes, 265 (1972). [6] Catégories Tannakiennes, Springer Lecture Notes 265 (1972); thesis of Saavedra Rivano.
7. non-Abelian Cohomology, Thesis by J. Giraud. [7] Cohomologie non abélienne, Grundlehren Math. Wiss. 179 (1972), Springer; thesis of J. Giraud.
8. Ring topos and relative schemes, Thesis by Monique Hakim. [8] Topos annelés et schémas relatifs, Ergebnisse Math. GR. 64 (1972), Springer; thesis of Monique Hakim.
9. Cohomologie cristalline, Springer Lecture Notes 407 (1974); thesis of Pierre Berthelot.
10. Derived Categories and Abelian Categories, Thesis by Jean-Louis Verdier., [10] Des catégories dérivées des catégories abéliennes; thesis of Jean-Louis Verdier, later published in Astérisque 239 (1996), SMF (G. Maltsiniotis, ed.)
11. Grothendieck Categories, Thesis of Hong Suan Xsin. [11] Gr-Categories; thesis of Hong Suan Xsin.
12. Isotopic study of embeddings of a topological 1-complex into a complex surface; thesis of Yves Ladegaillerie, short version published in Topology 23 no. 3(1984), 303-311.
13. Jacobiennes généralisées globales relatives; thesis of Carlos Contou-Carrére, short version published in the Grothendieck Festschrift, vol. II (1990).