Publications

Théorèmes de Riemann-Roch pour les champs de Deligne-Mumford. K-theory 18 (1999), No. 1 33-76. file.pdf

On motives for Deligne-Mumford stacks. IMRN No. 17 (2000), 909-928. file.pdf

Vers une interprétation Galoisienne de la théorie de l'homotopie. Cahiers de Top. et de Geom. Diff. Cat. 43, No. 4 (2002), 257-312. file.pdf

(joint with Vezzosi) Homotopical Algebraic Geometry I: Topos theory. Adv. in Math. 193 (2005), 257-372. file.pdf

(joint with Vezzosi) A remark on K-theory and S-categories. Topology 43, No. 4 (2004), 765-791. file.pdf

(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. file.pdf

(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. file.pdf

(joint with Vezzosi) Brave new algebraic geometry. in Elliptic cohomology, 325--359, London Math. Soc. Lecture Note Ser., 342, Cambridge Univ. Press, Cambridge, 2007. file.pdf

Vers une axiomatisation de la théorie des catégories supérieures. K-Theory 34 (2005), no. 3, 233--263. file.pdf

(joint with Vezzosi) Homotopical Algebraic Geometry II: geometric stacks and applications. Mem. Amer. Math. Soc. 193 (2008), no. 902, x+224 pp. file.pdf

Champs affines. Selecta Math. (N.S.) 12 (2006), no. 1, 39--135. file.pdf

Derived Hall algebra. Duke Math. J. 135 (2006), no. 3, 587--615. file.pdf

The homotopy theory of dg-categories and derived Morita theory. Invent. Math. 167 (2007), no. 3, 615--667. file.pdf

(joint with Vaquié) Moduli of objects in dg-categories. Ann. Sci. de l'ENS Volume 40 (2007) Issue 3, Pages 387-444. file.pdf

(joint with M. Anel) Dénombrabilité des classes d'équivalences dérivées de variétés algébriques. J. Algebraic Geom. 18 (2009), no. 2, 257--277. file.pdf

(joint with Vaquié) Au-dessous de Spec Z. J. K-Theory 3 (2009), no. 3, 437--500. file.pdf

Anneaux de définition des dg-algèbres propres et lisses Bull. Lond. Math. Soc. 40 (2008), no. 4, 642--650. file.pdf

Finitude homotopique des dg-algèbres propres et lisses. Proc. Lond. Math. Soc. (3) 98 (2009), no. 1, 217--240. file.pdf

(joint with Katzarkov and Pantev) Schematic homotopy types and non-abelian Hodge theory. Compos. Math. 144 (2008), no. 3, 582--632. file.pdf

(joint with Vaquié) Algébrisation des variétés analytiques complexes et catégories dérivées Math. Ann. (2008) 342, 789--831. file.pdf

(joint with Katzarkov and Pantev) Algebraic and topological aspects of the schematization functor. Compos. Math. 145 (2009), no. 3, 633--686. file.pdf

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. file.pdf

(joint with Vezzosi) A note on Chern character, loop spaces and derived algebraic geometry. To appear in the Abel Symposium, Oslo 2007. file.pdf