3 papers
math.AG2025
Artin--Mazur formal groups and Milne duality via unipotent spectra
Shubhodip Mondal, Tasos Moulinos, Lucy Yang
We introduce and develop the notion of "unipotent spectra." This is defined to be the stabilization of Toën's category of affine stacks, and is related to recent work of Mondal--R…
math.AG2025
The Synthetic Hilbert Additive Group Scheme
Alice Hedenlund, Tasos Moulinos
We construct a lift of the degree filtration on the integer valued polynomials to (even MU-based) synthetic spectra. Namely, we construct a bialgebra in modules over the evenly fil…
math.AT2024
Twisted Spectra Revisited
Alice Hedenlund, Tasos Moulinos
We recapture Douglas' framework for twisted parametrized stable homotopy theory in the language of - categories. A twisted spectrum is essentially a section of a bundle of…