Shubhankar Sahai

collaborators

4 papers

math.AG2026

Tannakian reconstruction in derived algebraic geometry

Joshua Mundinger, Shubhankar Sahai

We prove analogues of Tannakian reconstruction theorems of Lurie and Bhatt--Halpern-Leistner in \emph{derived} algebraic geometry, where the basic geometric objects are spectra of…

math.AG2026

De Rham affineness of the Nygaard filtered prismatization in positive characteristic

Shubhankar Sahai

Let $k$ be a perfect ring of characteristic $p > 0$ , and let $R$ be an animated $k$ -algebra. This note aims to show that the Nygaard filtered prismatization $R^{Nyg}$ of $R$ …

math.AG2026

Derived algebras on formal stacks and prismatic gauges

Shubhankar Sahai

This paper studies how the theory of derived algebras (in the sense of Bhatt-Mathew and Raksit) interacts with formal derived geometry, specifically the formal derived stacks which…

math.AG2024

Duality of differential operators and algebraic de Rham cohomology

Caleb Ji, Casimir Kothari, Oliver Li +3

Given a smooth proper morphism $f : X \to S$ , we introduce a certain derived category where morphisms are permitted to be $O_{S}$ -linear differential operators.…