Robert Burklund

activity

20192026

most citedThe Chromatic Nullstellensatz

6 citations · 8 across the 13 of their papers we have counts for

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Showing 2022Show all

4 papers · 1 filter

math.AT2022★ 6 cited

The Chromatic Nullstellensatz

Robert Burklund, Tomer M. Schlank, Allen Yuan

We show that Lubin--Tate theories attached to algebraically closed fields are characterized among $T (n)$ -local $E_{\infty}$ -rings as those that satisfy an analogue of Hilb…

math.AT2022

Multiplicative structures on Moore spectra

Robert Burklund

In this article we show that $S /8$ is an $E_{1}$ -algebra, $S /32$ is an $E_{2}$ -algebra, $S / p^{n + 1}$ is an $E_{n}$ -algebra at odd pri…

math.AT2022★ 1 cited

How Big are the Stable Homotopy Groups of Spheres?

Robert Burklund, Andrew Senger

In this article we show that the $p$ -torsion exponent of the stable stems grows sublinearly in $n$ and the $p$ -rank of the $E_{2}$ -page of the Adams spectral sequence grows as $\exp(…

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…