activity
20012024
most citedGoodwillie towers and chromatic homotopy: an overview

57 citations · 174 across the 24 of their papers we have counts for

collaborators

27 papers

math.AT2024

Applications of the circle product with a right -module to the theory of commutative ring spectra

Nicholas J. Kuhn

If Com is the reduced commutative operad, the category of Com-algebras in spectra is the category of nounital commutative ring spectra. The theme of this survey is that many import…

math.AT2024

Type 2 complexes constructed from Brown-Gitler spectra

William Balderrama, Justin Barhite, Nicholas J. Kuhn +1

In a previous paper, one of us interpreted mod 2 Dyer-Lashof operations as explicit A-module extensions between Brown-Gitler modules, and showed these A-modules can be topologicall…

math.AT2023

Dyer-Lashof operations as extensions of Brown-Gitler Modules

Nicholas J. Kuhn

At the prime 2, let T(n) be the n dual of the nth Brown-Gitler spectrum with mod 2 homology G(n). Our previous work on computing the homology of an infinite loopspaces led us to ob…

math.AT2023

An elementary proof of the chromatic Smith fixed point theorem

William Balderrama, Nicholas J. Kuhn

A recent theorem by T. Barthel, M. Hausmann, N. Naumann, T. Nikolaus, J. Noel, and N. Stapleton says that if A is a finite abelian p-group of rank r, then any finite A-space X whic…

math.AT2021

A short proof of the chromatic Smith Fixed Point Theorem

Nicholas J. Kuhn

We give a short and much simplified proof of the main theorem of the recent study, by T. Barthel, M. Hausmann, N. Naumann, T. Nikolaus, J. Noel, and N. Stapleton, of the Balmer spe…

math.AT2021★ 2 cited

Computing the Morava K-theory of real Grassmanians using chromatic fixed point theory

Nicholas J. Kuhn, Christopher J. R. Lloyd

We study K(n)*(Gr(d,m)) for all n - the 2-local Morava K-theories of the real Grassmanian Gr(d,m) of d-planes in R^m, about which very little has been previously computed. We conje…