Michael A. Mandell

activity

20002022

most citedRings, modules, and algebras in infinite loop space theory

157 citations · 749 across the 30 of their papers we have counts for

collaborators

Showing 2014 · math.KTShow all

3 papers · 2 filters

math.KT2014★ 17 cited

The homotopy groups of the algebraic K-theory of the sphere spectrum

Andrew J. Blumberg, Michael A. Mandell

We calculate $π_{*} K (S) [1/2]$ , the homotopy groups of $K (S)$ away from 2, in terms of the homotopy groups of $K (Z)$ , the homotopy groups of ${\mathbb C}P^\inf…

math.KT2014★ 3 cited

The nilpotence theorem for the algebraic $K$ -theory of the sphere spectrum

Andrew J. Blumberg, Michael A. Mandell

We prove that in the graded commutative ring $K_{*} (S)$ , all positive degree elements are multiplicatively nilpotent. The analogous statements also hold for $TC_{*}(\mathb…

math.KT2014★ 4 cited

Topological cyclic homology via the norm

V. Angeltveit, A. Blumberg, T. Gerhardt +3

We describe a construction of the cyclotomic structure on topological Hochschild homology ( $T H H$ ) of a ring spectrum using the Hill-Hopkins-Ravenel multiplicative norm. Our analysi…

The homotopy groups of the algebraic K-theory of the sphere spectrum

The nilpotence theorem for the algebraic K-theory of the sphere spectrum

Topological cyclic homology via the norm

The nilpotence theorem for the algebraic $K$ -theory of the sphere spectrum