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math.AT2026
Dualizable Additive Categories
Ishan Levy, Jiacheng Liang, Vladimir Sosnilo
We develop a comprehensive theory of dualizable additive categories. We provide several equivalent characterizations, notably identifying them as separated Grothendieck prestable c…
math.AT2026
Picard groups of quotient ring spectra
Ishan Levy, Guchuan Li, Ningchuan Zhang
We develop tools to study Picard groups of quotients of ring spectra by a finitely generated ideal, which we use to show that , where $…
math.AT2025
The spectral Sullivan conjecture
Ishan Levy
We show that any map from an infinite loop space to a -complete nilpotent finite dimensional space factors canonically through a union of -adic tori. This is proven via boots…