1 citations · 1 across the 2 of their papers we have counts for
4 papers
How Big are the Stable Homotopy Groups of Spheres?
Robert Burklund, Andrew Senger
In this article we show that the -torsion exponent of the stable stems grows sublinearly in and the -rank of the -page of the Adams spectral sequence grows as $\exp(…
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…
An extension in the Adams spectral sequence in dimension 54
Robert Burklund
We establish a hidden extension in the Adams spectral sequence converging to the stable homotopy groups of spheres at the prime 2 in the 54-stem. This extension is exceptional in t…
The trace of the local -degree
Thomas Brazelton, Robert Burklund, Stephen McKean +2
We prove that the local -degree of a polynomial function at an isolated zero with finite separable residue field is given by the trace of the local -deg…