Publications
Théorèmes de Riemann-Roch pour les champs
de Deligne-Mumford. K-theory 18 (1999), No. 1 33-76.
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On motives for Deligne-Mumford stacks.
IMRN
No. 17 (2000), 909-928.
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Vers une interprétation Galoisienne de la théorie
de l'homotopie. Cahiers de Top. et de Geom. Diff. Cat. 43, No. 4
(2002), 257-312.
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(joint with Vezzosi)
Homotopical Algebraic Geometry I: Topos theory.
Adv. in Math. 193 (2005), 257-372.
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(joint with Vezzosi)
A remark on K-theory and S-categories.
Topology 43, No. 4 (2004), 765-791.
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(joint with Vezzosi)
From HAG to DAG: derived moduli spaces.
in Axiomatic, enriched and motivic homotopy theory,
173--216, NATO Sci. Ser. II Math. Phys. Chem., 131, Kluwer Acad. Publ., Dordrecht, 2004.
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(joint with Kock)
Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture.
Compos. Math. 141 (2005), no. 1, 253--261.
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(joint with Vezzosi)
Brave new algebraic geometry.
in Elliptic cohomology,
325--359, London Math. Soc. Lecture Note Ser., 342, Cambridge Univ. Press, Cambridge, 2007.
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Vers une axiomatisation de la théorie des
catégories supérieures.
K-Theory 34 (2005), no. 3, 233--263.
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(joint with Vezzosi)
Homotopical Algebraic Geometry II: geometric stacks and applications.
Mem. Amer. Math. Soc. 193 (2008), no. 902, x+224 pp.
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Champs affines. Selecta Math. (N.S.) 12 (2006), no. 1, 39--135.
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Derived Hall algebra.
Duke Math. J. 135 (2006), no. 3, 587--615.
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The homotopy theory of dg-categories and derived Morita theory.
Invent. Math. 167 (2007), no. 3, 615--667.
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(joint with Vaquié)
Moduli of objects in dg-categories.
Ann. Sci. de l'ENS
Volume 40 (2007) Issue 3, Pages 387-444.
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(joint with M. Anel) Dénombrabilité des classes d'équivalences dérivées de variétés algébriques.
J. Algebraic Geom. 18 (2009), no. 2, 257--277.
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(joint with Vaquié)
Au-dessous de Spec Z.
J. K-Theory 3 (2009), no. 3, 437--500.
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Anneaux de définition des dg-algèbres propres et lisses
Bull. Lond. Math. Soc. 40 (2008), no. 4, 642--650.
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Finitude homotopique des dg-algèbres propres et lisses.
Proc. Lond. Math. Soc. (3) 98 (2009), no. 1, 217--240.
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(joint with Katzarkov and Pantev)
Schematic homotopy types and non-abelian Hodge theory.
Compos. Math. 144 (2008), no. 3, 582--632.
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(joint with Vaquié)
Algébrisation des variétés analytiques complexes et catégories
dérivées
Math. Ann. (2008) 342,
789--831.
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(joint with Katzarkov and Pantev)
Algebraic and topological aspects of the schematization functor.
Compos. Math. 145 (2009), no. 3, 633--686.
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Higher and derived stacks: a global overview.
Algebraic geometry---Seattle 2005. Part 1, 435--487,
Proc. Sympos. Pure Math., 80, Part 1, Amer. Math. Soc., Providence, RI, 2009.
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(joint with Vezzosi)
A note on Chern character, loop spaces and derived algebraic geometry.
To appear in the Abel Symposium, Oslo 2007.
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