Papers

Generalized local jacobians and commutative group stacks

Infinitesimal derived foliations

Analytic and algebraic integrability of derived foliations

Foliations and stable maps

Classes caractéristiques des schémas feuilletés

Algebraic foliations and derived geometry II: the Grothendieck-Riemann-Roch theorem

Algebraic foliations and derived geometry I: the Riemann-Hilbert correspondence

Le problème de la schématisation de Grothendieck revisité

A Universal HKR Theorem

Moduli of flat connections on smooth varieties

Poisson geometry of the moduli of local systems on smooth varieties

Structures symplectiques et de Poisson sur les champs en catégories

Trace and Kunneth formulas for singularity categories and applications

Géométrie non-commutative, formule des traces et conducteur de Bloch

The ℓ-adic trace formula for dg-categories and Bloch’s conductor conjecture

Motivic realization of categories of singularities and vanishing cycles

Shifted Poisson Structures and Deformation Quantization

Systèmes de points dans les dg-catégories saturées

Derived Algebraic Geometry and Deformation Quantization

Derived Algebraic Geometry

Operations on derived moduli spaces of branes

Proper local complete intersection morphisms preserve perfect complexes

Shifted Symplectic Structures

Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes

Derived Azumaya algebras and generators for twisted derived categories

Flat descent for Artin n-stacks

S^1-Equivariant simplicial algebras and de Rham theory

Caractères de Chern, traces équivariantes et géométrie algébrique dérivée

Algebraization of complex analytic varieties and derived categories

Anneaux de définition des dg-algèbres propres et lisses

Dénombrabilité des classes d’équivalences dérivées de variétés algébriques

Finitude homotopique des dg-algèbres propres et lisses

Higher and derived stacks: a global overview

Au-dessous de Spec Z

Anneaux de Grothendieck des n-champs d’Artin

Algebraic and topological aspects of the schematization functor

Moduli of objects in dg-categories

Derived Hall Algebras

Vers une axiomatisation de la théorie des catégories supérieures

The homotopy theory of dg-categories and derived Morita theory

Homotopical Algebraic Geometry II: geometric stacks and applications

Homotopical and Higher Categorical Structures in Algebraic Geometry

“Brave New” Algebraic Geometry and global derived moduli spaces of ring spectra

Simplicial localization of monoidal structures, and a non-linear version of Deligne’s conjecture

Segal topoi and stacks over Segal categories

From HAG to DAG: derived moduli spaces

A remark on K-theory and S-categories

Homotopical Algebraic Geometry I: Topos theory

Algebraic Geometry over model categories (a general approach to derived algebraic geometry)

Schematic homotopy types and non-abelian Hodge theory

Champs affines

Vers une interprétation galoisienne de la théorie de l’homotopie

On motives for Deligne-Mumford stacks

Notes sur la G-théorie rationnelle des champs de Deligne-Mumford

K-Théorie et cohomologie des champs algébriques

Théorèmes de Riemann-Roch pour les Champs de Deligne-Mumford