Emile Bouaziz

activity

20182026

collaborators

7 papers

math.AG2026

Symbols at infinity and Lie algebras of vector fields

Emile Bouaziz

If $X$ is smooth projective complex variety, $D$ is a simple normal crossings divisor and $A$ an ample divisor with support $D$ , then there is an associated filtration of the Lie a…

math.CT2026

A Remark on Static Animations

Emile Bouaziz

We record a general condition guaranteeing that the animation of a small $1$ -category remains a $1$ -category. The proof is extremely elementary universal algebra. This recovers as…

math.AG2025

Elliptic loop spaces

Emile Bouaziz, Adeel A. Khan

We introduce an elliptic avatar of loop spaces in derived algebraic geometry, completing the familiar trichotomoy of rational, trigonometric and elliptic objects. Heuristically, th…

math.RT2024

Sheaves of AV-modules on quasi-projective varieties

Yuly Billig, Emile Bouaziz

We study sheaves of modules for the Lie algebra of vector fields with the action of the algebra of functions, compatible via the Leibniz rule. A crucial role in this theory is play…

math.AG2024

Spectral Flow Equivariance for Calabi-Yau Sigma Models

Emile Bouaziz

We write down an explicit operator on the chiral de Rham complex of a Calabi-Yau variety $X$ which intertwines the usual $N = 2$ module structure with its twist by the spec…

math.AG2024

The chiral critical locus and topological structures

Emile Bouaziz

We study a differential graded VOA associated to the derived critical locus of a function $f$ on a smooth oriented $D$ -dimensional variety $(X, vol)$ . Informally, this VOA,…

math.AG2018

A Remark on Higher Homotopy Sheaves of Derived Arc Spaces

E. Bouaziz

In their work, \cite{GR}, Gaitsgory and Rozenblyum introduce a derived version of the well-studied arc spaces of classical algebraic geometry. They observe that these derived space…