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
- On higher real K-theories and finite spectra, with Mike Hill, arxiv, submitted.
- On periodic families in the stable stems of height two, with Jack Davies, arxiv, submitted.
- The descent spectral sequence for topological modular forms, with Jack Davies and Sven van Nigtevecht, arxiv, submitted.
- On MU homology of connective models of higher real K-theories, with Mike Hill, arxiv, accepted for publication in Proceedings of the AMS.
- Nonvanishing of products in v_2 periodic families at the prime 3, with Jack Davies, arxiv, submitted.
- Descent spectral sequences through synthetic spectra, with Jack Davies and Sven van Nigtevecht, arxiv, accepted for publication in International Mathematics Research Notices (IMRN).
- Chromatic defect, Wood's theorem, and higher real K-theories, arxiv, accepted for publication in Geometry and Topology.
- A synthetic approach to detecting v_1 periodic families, with Jack Davies, arxiv, accepted for publication in Transactions of the AMS.
- The homological slice spectral sequence in motivic and Real bordism, with Mike Hill and Doug Ravenel, arxiv, Advances in Mathematics, Volume 458, Part A, 2024.
- Cofreeness in Real bordism theory and the Segal conjecture, arxiv, Proceedings of the AMS, Volume 150(7), July 2022, 3161-3175.
- Smashing localizations in equivariant stable homotopy, arxiv, Journal of Homotopy and Related Structures, 17, 355-392 (2022).
Contact
- Email: carrick@math.uni-bonn.de