Ishan Levy

activity

20242026

collaborators

4 papers

math.KT2026

Crystallinity for syntomic cohomology, Ã©tale cohomology, and algebraic $K$ -theory

Jeremy Hahn, Ishan Levy, Andrew Senger

We prove for $n \geq c - 1$ that the functor taking an animated ring $R$ to its mod $(p^{c}, v_{1}^{p^{n}})$ syntomic cohomology factors through the functor $R \mapsto R / p^{c (n + 2)}$ , a pheno…

math.AT2025

Topological Hochschild homology of the image of j

David Jongwon Lee, Ishan Levy

We compute the mod $(p, v_{1})$ and mod $(2, I^\cdot, v_{1})$ $THH$ of many variants of the image-of- $J$ spectrum. In particular, we do this for $j_{I^} ¶$ , whose $TC$ is closely…

math.AT2025

The Borel Cohomology of Free Iterated Loop Spaces

Ishan Levy, Justin Wu

We compute the $SO (n + 1)$ -equivariant mod $2$ Borel cohomology of the free iterated loop space $Z^{S^{n}}$ when $Z$ is a mod $2$ generalized Eilenberg Mac Lane space. When $n = 1$ ,…

math.KT2024

Categorifying reduced rings

Ishan Levy

Given a domain of characteristic zero $R$ , we functorially construct a rigid symmetric monoidal stable $\infty$ -category whose $K_{0}$ is $R$ , solving a problem of Khovanov. We also…

Crystallinity for syntomic cohomology, Ã©tale cohomology, and algebraic K-theory

Topological Hochschild homology of the image of j

The Borel Cohomology of Free Iterated Loop Spaces

Categorifying reduced rings

Crystallinity for syntomic cohomology, Ã©tale cohomology, and algebraic $K$ -theory