Research

Author lists are alphabetical. All papers are available on the arXiv.

Preprints

1. Hammock localization via Segal animae K. Arakawa, B. Cnossen August 2026arXiv:2608.19870
2. Universality of span 2-categories and the construction of 6-functor formalisms B. Cnossen, T. Lenz, S. Linskens May 2025arXiv:2505.19192
3. Normed equivariant ring spectra and higher Tambara functors B. Cnossen, R. Haugseng, T. Lenz, S. Linskens July 2024arXiv:2407.08399
4. Global spaces and the homotopy theory of stacks A. Clough, B. Cnossen, S. Linskens July 2024arXiv:2407.06877
5. Parametrized higher semiadditivity and the universality of spans B. Cnossen, T. Lenz, S. Linskens March 2024arXiv:2403.07676

Publications

1. Twisted ambidexterity in equivariant homotopy theory B. Cnossen Journal of Topology2026arXiv:2303.00736
2. A short proof of the universality of the relative Rezk nerve K. Arakawa, B. Cnossen Proceedings of the AMS2026arXiv:2505.14123
3. Parametrized stability and the universal property of global spectra B. Cnossen, T. Lenz, S. Linskens Journal of Topology2025arXiv:2301.08240
4. Homotopical commutative rings and bispans B. Cnossen, R. Haugseng, T. Lenz, S. Linskens Journal of the LMS2025arXiv:2403.06911
5. Universality of Barwick’s unfurling construction B. Cnossen, T. Lenz, M. Ramzi International Mathematics Research Notices2025arXiv:2502.18278
6. Characters and transfer maps via categorified traces S. Carmeli, B. Cnossen, M. Ramzi, L. Yanovski Forum of Mathematics, Sigma2025arXiv:2210.17364
7. The Adams isomorphism revisited B. Cnossen, T. Lenz, S. Linskens Mathematische Zeitschrift 3082024arXiv:2311.04884
8. Partial parametrized presentability and the universal property of equivariant spectra B. Cnossen, T. Lenz, S. Linskens Transactions of the AMS2024arXiv:2307.11001

Thesis

Twisted ambidexterity in equivariant homotopy theory: two approaches.
PhD thesis, University of Bonn, 2023. Advisor: Stefan Schwede. · PDF