Orbifold completion of 3-categories. Joint with Nils Carqueville. Accepted for publication in Comm. Math. Phys. https://arxiv.org/abs/2307.06485
A Higher Spin Statistics Theorem for Invertible Quantum Field Theories. Joint with Cameron Krulewski and Luuk Stehouwer. Accepted for publication in Comm. Math. Phys. https://arxiv.org/abs/2408.03981
The Dehn Twist Action for Quantum Representations of Mapping Class Groups. Joint with Lukas Woike. Accepted for publication in J. Top. https://arxiv.org/abs/2311.16020
Categorified Open Topological Field Theories. Joint with Lukas Woike. Accepted for publication in Proc. Amer. Math. Soc. arxiv.org/abs/2406.11605
The distinguished invertible object as ribbon dualizing object in the Drinfeld center. Joint with Lukas Woike. Selecta Math. https://arxiv.org/abs/2212.07910
Reflection Structures and Spin Statistics in Low Dimensions. Joint with Luuk Stehouwer. Rev. Math. Phys. https://arxiv.org/abs/2301.06664
The classification of Consistent Systems of Handlebody Group Representations. Joint with Lukas Woike. Int. Math. Res. Not. https://arxiv.org/abs/2201.07542
Finite symmetries of quantum character stacks. Joint with Corina Keller. Theory and Applications of Categories https://arxiv.org/abs/2107.12348
The Diffeomorphism Group of the Solid Closed Torus and Hochschild Homology. Joint with Lukas Woike. Proc. Amer. Math. Soc. https://arxiv.org/abs/2201.03920
Cyclic framed little disks algebras, Grothendieck-Verdier duality and handlebody group representations. Joint with Lukas Woike. Quart. J. Math. https://arxiv.org/abs/2010.10229
Symmetry defects and orbifolds of two-dimensional Yang-Mills theory. Joint with Lóránt Szegedy and Richard J. Szabo. Lett. Math. Phys., https://arxiv.org/abs/1907.04734
Smooth 2-group extensions and symmetries of bundle gerbes. Joint with Severin Bunk and Richard J. Szabo. Comm. Math. Phys. https://arxiv.org/abs/2004.13395
Dimensional Reduction, Extended Topological Field Theories and Orbifoldization. Joint with Lukas Woike. Bull. London Math. Soc. https://arxiv.org/abs/2004.04689
The Little Bundles Operad. Joint with Lukas Woike. Algebr. Geom. Top., 2020. https://arxiv.org/abs/1901.04850
Equivariant Higher Hochschild Homology and Topological Field Theories. Joint with Lukas Woike. Homology Homotopy Appl., 2020. https://arxiv.org/abs/1809.06695
Parallel Transport of Higher Flat Gerbes as an Extended Homotopy Quantum Field Theory. Joint with Lukas Woike. J. Homotopy Relat. Str., 2020. https://arxiv.org/abs/1802.10455
’t Hooft anomalies of discrete gauge theories and nonabelian group cohomology. Joint with Richard J. Szabo. Comm. Math. Phys. , 2019. https://arxiv.org/abs/1811.05446
Geometry and 2-Hilbert Space for Nonassociative Magnetic Translations. Joint with Severin Bunk and Richard J. Szabo. Lett. Math. Phys., 2019. https://arxiv.org/abs/1804.08953
Extended quantum field theory, index theory and the parity anomaly. Joint with Richard J. Szabo. Comm. Math. Phys., 2018. https://arxiv.org/abs/1709.03860
A GNS construction of three-dimensional abelian Dijkgraaf-Witten theories. Joint with Christoph Schweigert. Rev. Math. Phys., 2018. https://arxiv.org/abs/1703.05018
On the Higher Categorical Structure of Topological Defects in Quantum Field Theories, https://arxiv.org/abs/2505.04761
Deformation Quantization via Categorical Factorization Homology. Joint with Eilind Karlsson, Corina Keller and Ján Pulmann. https://arxiv.org/abs/2410.12516
Admissible Skein Modules and Ansular Functors: A Comparison. Joint with Lukas Woike. https://arxiv.org/abs/2409.17047
Dagger n-categories, Joint with Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd, Cameron Krulewski, Nivedita, David Penneys, David Reutter, Claudia Scheimbauer, Luuk Stehouwer, Chetan Vuppulury. https://arxiv.org/abs/2403.01651
The Lyubashenko Modular Functor for Drinfeld Centers via Non-Semisimple String-Nets. Joint with Christoph Schweigert, Lukas Woike and Yang Yang. https://arxiv.org/abs/2312.14010
Lectures on Factorization Homology, Infinity-Categories, and Topological Field Theories, Hiro Lee Tanaka with contributions from Araminta Amabel, Artem Kalmykov, Lukas Müller, Springer Briefs in Mathematical Physics, Band 39, 2021. https://arxiv.org/abs/1907.00066
Extended Functorial Field Theories and Anomalies in Quantum Field Theories. PhD Thesis. https://arxiv.org/abs/2003.08217
The universal construction for Dijkgraaf-Witten theories. MSc Thesis
Statistical consistency of generating networ models (in German). BSc Thesis