Ishan Levy

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20212024

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-theoretic counterexamples to Ravenel's telescope conjecture

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math.AT2021

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.AT2021

Eilenberg Mac Lane spectra as p-cyclonic Thom spectra

Ishan Levy

Hopkins and Mahowald gave a simple description of the mod $p$ Eilenberg Mac Lane spectrum $F_{p}$ as the free $E_{2}$ -algebra with an equivalence of $p$ and $0$ . We s…