Lukas Mueller

Lukas Mueller portrait
Perimeter Institute for Theoretical Physics
Areas of research:
  • Müller, L., Schweigert, C., Woike, L., & Yang, Y. (2023). The Lyubashenko Modular Functor for Drinfeld Centers via Non-Semisimple String-Nets. arxiv:2312.14010v1
  • Müller, L., & Woike, L. (2023). The Dehn Twist Action for Quantum Representations of Mapping Class Groups. arxiv:2311.16020v1
  • Müller, L., & Woike, L. (n.d.). Classification of Consistent Systems of Handlebody Group Representations. International Mathematics Research Notices. doi:10.1093/imrn/rnad178
  • Carqueville, N., & Müller, L. (2023). Orbifold completion of 3-categories. arxiv:2307.06485v1
  • Müller, L., & Woike, L. (2023). Cyclic Framed Little Disks Algebras, Grothendieck–Verdier Duality And Handlebody Group Representations. The Quarterly Journal of Mathematics, 74(1), 163-245. doi:10.1093/qmath/haac015
  • Müller, L., & Woike, L. (n.d.). The diffeomorphism group of the solid closed torus and Hochschild homology. Proceedings of the American Mathematical Society, 151(06), 2311-2324. doi:10.1090/proc/16134
  • Müller, L., & Stehouwer, L. (2023). Reflection Structures and Spin Statistics in Low Dimensions. arxiv:2301.06664v1
  • Müller, L., & Woike, L. (2022). The distinguished invertible object as ribbon dualizing object in the Drinfeld center. arxiv:2212.07910v2
  • Müller, L., Szabo, R. J., & Szegedy, L. (2022). Symmetry defects and orbifolds of two-dimensional Yang–Mills theory. Letters in Mathematical Physics, 112(2), 18. doi:10.1007/s11005-021-01476-0
  • Müller, L., & Woike, L. (2022). Classification of Consistent Systems of Handlebody Group Representations. arxiv:2201.07542v3
  • Müller, L., & Woike, L. (2022). The Diffeomorphism Group of the Solid Closed Torus and Hochschild Homology. arxiv:2201.03920v2
  • Keller, C., & Müller, L. (2021). Finite symmetries of quantum character stacks. arxiv:2107.12348v3
  • Bunk, S., Müller, L., & Szabo, R. J. (2021). Smooth 2-Group Extensions and Symmetries of Bundle Gerbes. Communications in Mathematical Physics, 384(3), 1829-1911. doi:10.1007/s00220-021-04099-7
  • Müller, L., & Woike, L. (2021). Dimensional reduction, extended topological field theories and orbifoldization. Bulletin of the London Mathematical Society, 53(2), 392-403. doi:10.1112/blms.12427
  • Topological Quantum Field Theories Lecture 20231208, Topological Quantum Field Theories - mini-course, 2023/12/08, PIRSA:23120017
  • Topological Quantum Field Theories Lecture 20231201, Topological Quantum Field Theories - mini-course, 2023/12/01, PIRSA:23120016
  • Topological Quantum Field Theories Lecture 20231124, Topological Quantum Field Theories - mini-course, 2023/11/24, PIRSA:23110037
  • Topological Quantum Field Theories Lecture 20231110, Topological Quantum Field Theories - mini-course, 2023/11/10, PIRSA:23110035
  • Topological Quantum Field Theories Lecture 20231103, Topological Quantum Field Theories - mini-course, 2023/11/03, PIRSA:23110034
  • Topological Quantum Field Theories Lecture 20231027, Topological Quantum Field Theories - mini-course, 2023/10/27, PIRSA:23100081
  • Topological Quantum Field Theories Lecture 20231020, Topological Quantum Field Theories - mini-course, 2023/10/20, PIRSA:23100080
  • Topological Quantum Field Theories Lecture 20231013, Topological Quantum Field Theories - mini-course, 2023/10/13, PIRSA:23100079
  • Topological Quantum Field Theories Lecture 20231006, Topological Quantum Field Theories - mini-course, 2023/10/06, PIRSA:23100078
  • Reflection positivity for extended topological field theories, Mathematical Physics, 2023/10/05, PIRSA:23100075
  • Deformation quantization and categorical factorization homology, NYU Abu Dhabi, Center for Quantum and Topological Systems, Abu Dhabi, United Arab Emirates, 2023/05/01
  • Reflection structures and spin statistics in low dimensions, University of Burgundy, Dijon, France, 2022/12/18
  • Reflection structures and spin statistics in low dimensions, 2022/12/05
  • Session 1 - Lukas Mueller, POSTDOC WELCOME 2022, 2022/10/24, PIRSA:22100119
  • Deformation quantization of stacks,, 2022/10/13