Christian Carrick

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20242026

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math.AT2025

Slice spectral sequences through synthetic spectra

Christian Carrick

We define a $t$ -structure on the category of filtered $G$ -spectra such that for a Borel $G$ -spectrum $X$ the slice filtration of $X$ is the connective cover of the homotopy fixed-p…

math.KT2025

On higher real $K$ -theories and finite spectra

Christian Carrick, Michael A. Hill

We study higher chromatic height analogues $e o_{h}$ of the connective real $K$ -theory spectrum $k o$ . We show that $e o_{h}$ is an fp spectrum of type $h$ in the sense of Mahowald--Rezk.…

Slice spectral sequences through synthetic spectra

On higher real K-theories and finite spectra

On higher real $K$ -theories and finite spectra