About
I am a National Science Foundation (NSF) Postdoctoral Fellow at Universität Bonn, working with Markus Hausmann. Previously, I was a postdoc at Universiteit Utrecht with Lennart Meier and a graduate student at UCLA, where my advisor was Mike Hill. My CV is here.
My research is in equivariant, chromatic, synthetic, and motivic homotopy. I am particularly interested in (connective) higher real $K$-theories and fp spectra, as well as the various computations related to these theories (e.g. slice, homotopy fixed points, Adams, Adams-Novikov, etc. spectral sequences).
Publications and Preprints
| Title | Author(s) | Link | Journal |
|---|---|---|---|
| On higher real K-theories and finite spectra | Christian Carrick and Mike Hill | arxiv | Submitted |
| On periodic families in the stable stems of height two | Christian Carrick and Jack Davies | arxiv, talk by Jack | Submitted |
| The descent spectral sequence for topological modular forms | Christian Carrick, Jack Davies, and Sven van Nigtevecht | arxiv, talk by Sven | Submitted |
| On MU homology of connective models of higher real K-theories | Christian Carrick and Mike Hill | arxiv | Proceedings of the AMS |
| Nonvanishing of products in v_2 periodic families at the prime 3 | Christian Carrick and Jack Davies | arxiv | Submitted |
| Descent spectral sequences through synthetic spectra | Christian Carrick, Jack Davies, and Sven van Nigtevecht | arxiv | International Mathematics Research Notices (IMRN) |
| Chromatic defect, Wood's theorem, and higher real K-theories | Christian Carrick | arxiv, talk | Geometry and Topology |
| A synthetic approach to detecting v_1 periodic families | Christian Carrick and Jack Davies | arxiv | Transactions of the AMS |
| The homological slice spectral sequence in motivic and Real bordism | Christian Carrick, Mike Hill, and Doug Ravenel | arxiv, talk | Advances in Mathematics |
| Cofreeness in Real bordism theory and the Segal conjecture | Christian Carrick | arxiv | Proceedings of the AMS |
| Smashing localizations in equivariant stable homotopy | Christian Carrick | arxiv | Journal of Homotopy and Related Structures (JHRS) |
Contact
- Email: carrick@math.uni-bonn.de