nLab Cameron Krulewski

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Selected writings

On the spin-statistics theorem via hermitian functorial field theory:

• Cameron Krulewski, Lukas Müller, Luuk Stehouwer: A Higher Spin Statistics Theorem for Invertible Quantum Field Theories, Commun. Math. Phys. 406 (2025) 230 [arXiv:2408.03981, doi:10.1007/s00220-025-05405-3]

Introducing a notion of dagger $n$-categories:

• Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd, Cameron Krulewski, Lukas Müller, Nivedita, David Penneys, David Reutter, Claudia Scheimbauer, Luuk Stehouwer, Chetan Vuppulury, Dagger n-categories [arXiv2403.01651]

On symmetry protected topological phases via invertible field theories:

• Omar Antolín Camarena, Arun Debray, Cameron Krulewski, Natalia Pacheco-Tallaj, Daniel Sheinbaum, Luuk Stehouwer: Weak topological phases in the presence of interactions [arXiv:2410.10031]

• Cameron Krulewski: Invertible Field Theory Models for SPTs in the Bott Spiral, talk at CQTS @ NYUAD (Apr 2026) [pdf]

On fusion categories and fusion 2-categories:

• Theo Johnson-Freyd, David Reutter et al. (Cameron Krulewski, Nivedita, Michail Tagaris, …): Higher tensor categories and their extensions, notes from the Scottish Talbot On Algebra and Topology 2024 [arXiv:2509.10636]

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