Research
Publications
S. Gautam, M. Rupert, C. Wendlandt - The R-matrix formalism for quantized enveloping algebras, [arXiv:2210.06770], Accepted for Publication in Annales de l’Institut Fourier
M. Rupert - Preservation of Loewy Diagrams Under Exact Functors, [arXiv:2305.01187], Accepted for Publication in Journal of Pure and Applied Algebra.
T. Creutzig, D. Ridout, M. Rupert - A Kazhdan–Lusztig correspondence for L_{-3/2}(sl_3), Commun. Math. Phys. 400, 639–682 (2023), [arXiv:2112.13167].
T. Creutzig, M. Rupert - Uprolling Unrolled Quantum Groups, Communications in Contemporary Mathematics, Vol. 24, No. 04, 2150023 (2022).
M. Rupert - Categories of Weight Modules for Unrolled Restricted Quantum Groups at Roots of Unity, Izvestiya: Mathematics, 2022, Volume 86, Issue 6, Pages 1204–1224, [arXiv:1910.05922].
J. Auger, T. Creutzig, S. Kanade, M. Rupert - Braided Tensor Categories Related to Bp Vertex Algebras, Commun. Math. Phys. (2020), [arXiv:1906.07212].
J. Auger, M. Rupert - On Infinite Order Simple Current Extensions of Vertex Operator Algebras, Contemporary Mathematics AMS, Vol. 711 Vertex Algebras and Geometry, 2018, [arXiv:1711.05343].
T. Creutzig, A. Milas, M. Rupert - Logarithmic Link Invariants of $\overline{U}_q^H(\mathfrak{sl}_2)$ and Asymptotic Dimensions of Singlet Vertex Algebras, Journal of Pure and Applied Algebra, Volume 222, Issue 10, October 2018, Pages 3224-3247, [arXiv:1605.05634].
M. Rupert, E. Woolgar - Bakry-Emery Black Holes, Classical and Quantum Gravity, Vol. 31 (2014), [arXiv:1310.3894].
V. Bouchard, J. Hutchinson, P. Loliencar, M. Meiers, M. Rupert - A Generalized Topological Recursion for Arbitrary Ramification, Annales Henri Poincare, Vol.15 (2014), pp 143-169}, [arXiv:1208.6035].
Preprints
T. Creutzig, S. Lentner, M. Rupert - An algebraic theory for logarithmic Kazhdan-Lusztig correspondences, [arXiv:2306.11492].
M. Rupert, C. Wendlandt, The R-matrix presentation for the rational form of a quantized enveloping algebra, [arXiv:2306.09971].
T. Creutzig, S. Lentner, M. Rupert - Characterizing braided tensor categories associated to logarithmic vertex operator algebras, [arXiv:2104.13262] .
N. Geer, B. Patureau-Mirand, M. Rupert - Some remarks on relative modular categories, [arXiv:2110.15518]