105 citations · 211 across the 11 of their papers we have counts for
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The Balmer spectrum of the equivariant homotopy category of a finite abelian group
Tobias Barthel, Markus Hausmann, Niko Naumann +3
For a finite abelian group , we determine the Balmer spectrum of , the compact objects in genuine -spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{…
Nilpotence and descent in equivariant stable homotopy theory
Akhil Mathew, Niko Naumann, Justin Noel
Let be a finite group and let be a family of subgroups of . We introduce a class of -equivariant spectra that we call -nilpotent. This definiti…
Derived induction and restriction theory
Akhil Mathew, Niko Naumann, Justin Noel
Let be a finite group. To any family of subgroups of , we associate a thick -ideal of the category of -spectra with th…
Nilpotence in the symplectic bordism ring
Justin Noel
We prove a folklore result which gives a sequence of necessary and sufficient conditions for a stably symplectic manifold to define a nilpotent element in the symplectic bordism ri…
On a nilpotence conjecture of J.P. May
Akhil Mathew, Niko Naumann, Justin Noel
We prove a conjecture of J.P. May concerning the nilpotence of elements in ring spectra with power operations, i.e., -ring spectra. Using an explicit nilpotence bound on…
The T-algebra spectral sequence: Comparisons and applications
Justin Noel
In previous work with Niles Johnson the author constructed a spectral sequence for computing homotopy groups of spaces of maps between structured objects such as G-spaces and E_n-r…
Lifting homotopy T-algebra maps to strict maps
Niles Johnson, Justin Noel
The settings for homotopical algebra---categories such as simplicial groups, simplicial rings, spaces, ring spectra, etc.---are often equivalent to categories…
H-infinity is not E-infinity
Justin Noel
We provide an example of a spectrum over S^0 with an H_\infty structure which does not rigidify to an E_3 structure. It follows that in the category of spectra over S^0 not every H…
For Complex Orientations Preserving Power Operations, p-typicality is Atypical
Niles Johnson, Justin Noel
We show, for primes p less than or equal to 13, that a number of well-known MU_(p)-rings do not admit the structure of commutative MU_(p)-algebras. These spectra have complex orien…