Doctor, mathematical physicist, explores geometric structures at the intersection of general relativity and quantum mechanics.
PhD, mathematical physicist, studies the geometrical structures lying on the verge of general relativity and quantum mechanics. Author and co-author of over a dozen of scientific articles, assistant professor (adiunkt) at the Copernicus Center for Interdisciplinary Studies of Jagiellonian University, finalist of the science popularizer contest “Popularyzator Nauki 2022” organized by the “Science in Poland” portal, translator of popular science books.
Contact: tomasz.miller@uj.edu.pl
ORCID: 0000-0002-9460-1063
Mathematical physics:
- theoretical investigations on the verge of relativistic causality and quantum information
- geometry of quantum states
- algebraical approach to spacetime geometry
Articles
- Miller, T. (2024). On the diagonal product of special unitary matrices. Linear Algebra and its Applications, 691, 216–232. https://doi.org/10.1016/j.laa.2024.03.025
- Pysiak, L., Sasin, W., Heller, M. & Miller, T. (2023). Einstein algebras in a categorical context. Reports on Mathematical Physics, 92(1), 59–74. https://doi.org/10.1016/s0034-4877(23)00055-1
- Drewnik, M., Miller, T. & Pasternak-Winiarski, Z. (2021). Reproducing kernel Hilbert spaces associated with a unitary representation of a groupoid. Complex Analysis and Operator Theory, 15(5):91. https://doi.org/10.1007/s11785-021-01137-z
- Miller, T., Eckstein, M., Horodecki, P. & Horodecki, R. (2021). Generally covariant N-particle dynamics. Journal of Geometry and Physics, 160, 103990. https://doi.org/10.1016/j.geomphys.2020.103990
- Eckstein, M., Horodecki, P., Miller, T. & Horodecki, R. (2020). Operational causality in spacetime, Physical Review A, 101, 042128. https://doi.org/10.1103/PhysRevA.101.042128
- Asselmeyer-Maluga, T., Król, J. & Miller, T. (2020). Does our Universe prefer exotic smoothness? Symmetry, 12(1):98, https://doi.org/10.3390/sym12010098
- Pysiak, L., Sasin, W., Heller, M. & Miller, T. (2020). Functorial differential spaces and the infinitesimal structure of space-time, Reports on Mathematical Physics. 85(3), 443-454. https://doi.org/10.1016/S0034-4877(20)30046-X
Preprints
- Bistroń, R., Eckstein, M., Friedland, S., Miller, T. & Życzkowski, K. (2023). A new class of distances on complex projective spaces, Linear Algebra and its Applications (in press), preprint: arXiv:2312.02583 [math-ph]
- Miller, T. (2021). Causal evolution of probability measures and the continuity equation, Advances in Theoretical and Mathematical Physics (in press), preprint arXiv:2104.02552 [math-ph]