3 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.AG2025
Cartier duality via Mittag-Leffler modules
Dima Arinkin, Joshua Mundinger
We construct the Cartier duality equivalence for affine commutative group schemes whose coordinate ring is a flat Mittag-Leffler module over an arbitrary base ring . The dua…
math.AG2024
On the differentials of the Hochschild-Kostant-Rosenberg spectral sequence
Joshua Mundinger
The Hochschild-Kostant-Rosenberg theorem implies the existence of a spectral sequence computing the Hochschild homology of a variety in terms of the cohomology of differential form…