Publications

23/07/2018
  1. Théorèmes de Riemann-Roch pour les champs de Deligne-Mumford. K-theory 18 (1999), No. 1 33-76. PDF
  2. On motives for Deligne-Mumford stacks. IMRN No. 17 (2000), 909-928. PDF
  3. Vers une interprétation Galoisienne de la théorie de l’homotopie. Cahiers de Top. et de Geo. Diff. Cat. 43, No. 4 (2002), 257-312. PDF
  4. (joint with Vezzosi) Homotopical Algebraic Geometry I: Topos theory. Adv. in Math. 193 (2005), 257-372. PDF
  5. (joint with Vezzosi) A remark on K-theory and S-categories. Topology 43, No. 4 (2004), 765-791. PDF
  6. (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. PDF
  7. (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. PDF
  8. (joint with Vezzosi) Brave new algebraic geometry. in Elliptic cohomology, 325–359, London Math. Soc. Lecture Note Ser., 342, Cambridge Univ. Press, Cambridge, 2007. PDF
  9. Vers une axiomatisation de la théorie des catégories supérieures. K-Theory 34 (2005), no. 3, 233-263. PDF
  10. (joint with Vezzosi) Homotopical Algebraic Geometry II: geometric stacks and applications. Mem. Amer. Math. Soc. 193 (2008), no. 902, x+224 pp. PDF
  11. Champs affines. Selecta Math. (N.S.) 12 (2006), no. 1, 39-135. PDF
  12. Derived Hall algebra. Duke Math. J. 135 (2006), no. 3, 587-615. PDF
  13. The homotopy theory of dg-categories and derived Morita theory. Invent. Math. 167 (2007), no. 3, 615-667. PDF
  14. (joint with Vaquié) Moduli of objects in dg-categories. Ann. Sci. de l’ENS Volume 40 (2007) Issue 3, Pages 387-444. PDF
  15. (joint with M. Anel) Dénombrabilité des classes d’équivalences dérivées de variétés algébriques. J. Algebraic Geom. 18 (2009), no. 2, 257-277. PDF
  16. (joint with Vaquié) Au-dessous de Spec Z. J. K-Theory 3 (2009), no. 3, 437–500. PDF
  17. Anneaux de définition des dg-algèbres propres et lisses Bull. Lond. Math. Soc. 40 (2008), no. 4, 642-650. PDF
  18. Finitude homotopique des dg-algèbres propres et lisses. Proc. Lond. Math. Soc. (3) 98 (2009), no. 1, 217-240. PDF
  19. (joint with Katzarkov and Pantev) Schematic homotopy types and non-abelian Hodge theory. Compos. Math. 144 (2008), no. 3, 582-632. PDF
  20. (joint with Vaquié) Algébrisation des variétés analytiques complexes et catégories dérivées Math. Ann. (2008) 342, 789-831. PDF
  21. (joint with Katzarkov and Pantev) Algebraic and topological aspects of the schematization functor. Compos. Math. 145 (2009), no. 3, 633-686. PDF
  22. 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. PDF
  23. (joint with Vezzosi) A note on Chern character, loop spaces and derived algebraic geometry. Abel Symposium, Oslo 2007. PDF
  24. Lectures on dg-categories, for the Sedano winter school on K-theory, LNM 2008. PDF
  25. Descente fidèlement plate pour les n-champs d’Artin.  Compos. Math. 147 (2011), no. 5, 1382-1412. PDF
  26. Derived algebraic geometry, in, Simplicial methods for operads and algebraic geometry. Advanced course in Mathematics – CRM Barcelona series. PDF
  27. (joint with Vezzosi) Algèbres simpliciales S^1-équivariantes et théorie de de Rham. Compos. Math. 147 (2011), no. 6, 1979-2000. PDF
  28. Derived Azumaya algebras and genertors for twisted derived categories. Invent. Math. 189 (2012), no. 3, 581–652. PDF
  29. (joint with Pantev, Vaquié and Vezzosi) Shifted symplectic structures. Publ. Math. Inst. Hautes Études Sci. 117 (2013), 271-328.  PDF
  30. (joint with Schurg and Vezzosi) Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes. J. Reine Angew. Math. 702,
    1 – 40 (2015).  PDF
  31. (joint with Vezzosi) Infinie-catégories monoidales rigides et caractères de Chern. Sel. Math., New Ser. 21, No. 2, 449 – 554 (2015). PDF
  32. Derived Algebraic Geometry. EMS Surv. Math. Sci. 1 (2014), no. 2, 153-245.PDF
  33. Derived Algebraic Geometry and Deformation Quantization. ICM lecture. PDF
  34. Problèmes de modules formels. Exposé Bourbaki du 16 Janvier 2016. PDF
  35. (avec Vaquié) Systèmes de points dans les dg-catégories saturées. Ann. Fac. Sci. Toulouse, Math. (6) 25, No. 2-3, Part B, 583 – 618 (2016). PDF
  36. (with Calaque, Pantev, Vaquié and Vezzosi) Shifted Poisson structures.  J. of Topology, Volume 10, Issue 2 June 2017 Pages 483 – 584. PDF
  37. (with Vezzosi) Géométrie non-commutative, formule des traces et conducteur de Bloch. Dans le volume pour le « Premier congrès de la SMF, Tours 2016″. PDF
  38. (with Vezzosi) The l-adic trace formula for dg-categories and Bloch’s conductor conjecture, à paraitre dans Bollettino dell’Unione Matematica Italiana. PDF
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