Ishan Levy

collaborators

3 papers

math.AT2022

The algebraic K-theory of the K(1)-local sphere via TC

Ishan Levy

We describe the algebraic K-theory of the $K (1)$ -local sphere and the category of type 2 finite spectra in terms of K-theory of discrete rings and topological cyclic homology. We f…

math.AT2022

Adams-type maps are not stable under composition

Robert Burklund, Ishan Levy, Piotr Pstrągowski

We give a simple counterexample to the plausible conjecture that Adams-type maps of ring spectra are stable under composition. We then show that over a field, this failure is quite…

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…