Recent Research

• A. Rivezzi, Hopf categories associated to comonoidal functors, Applied Categorical Structures, 2026, 34 (1), 7. arXiv.
• M. Forough, J. Jeong and K. R. Strung, Recursive subhomogeneity of orbit-breaking subalgebras of C*-algebras associated to minimal homeomorphisms twisted by line bundles, J. Funct. Anal. 290 (2026), no. 5, Paper No. 111283, 52 pp. arXiv.
• C. Esposito, A. Rivezzi, J. Schnitzer, T. Weber, Quantization of infinitesimal braidings and pre-Cartier quasi-bialgebras, J. Lond. Math. Soc, to appear (2026). arXiv.
• K. J. Flood, M. Mantegazza, H. Winther, Jet functors in noncommutative geometry, Selecta Math. (N.S.) 31 (2025), no. 4, Paper No. 70, 107 pp. arXiv.
• M. Bordemann, A. Rivezzi, T. Weigel, A gentle introduction to Drinfel’d associators, Rev. Math. Phys. 37 (2025), no. 4, Paper No. 2430010, 58 pp. arXiv.
• P. Aschieri, T. Weber, Metric compatibility and Levi-Civita connections on quantum groups, J. Algebra 661 (2025), 479–544. arXiv.
• A. Rivezzi, On the universal Drinfeld–Yetter algebra, J. Pure Appl. Algebra 229 (2025), no. 9, Paper No. 108035, 32 pp. arXiv.
• A. Sciandra, T. Weber, Noncommutative differential geometry on crossed product algebras, J. Algebra 664 (2025), part A, 129–176. arXiv.
• A. Ardizzoni, L. Bottegoni, A. Sciandra, T. Weber, Infinitesimal braidings and pre-Cartier bialgebras, Commun. Contemp. Math. 27 (2025), no. 5, Paper No. 2450029, 55 pp. arXiv.
• A. Del Donno, E. Latini, T. Weber, On the Đurđević approach to quantum principal bundles, J. Geom. Phys. 216 (2025), Paper No. 105567, 42 pp. arXiv.
• T. Bice, L. Orloff Clark, Y.-F. Lin, K. McCormick, Cartan semigroups and twisted groupoid C*-algebras, J. Funct. Anal. 289 (2025), no. 7, Paper No. 111038, 54 pp. arXiv.
• A, Bartoš, T. Bice, A. Vignati, Constructing compacta from posets, Publ. Mat. 69 (2025), no. 1, 217–265. arXiv.
• M. Forough, E. Gardella, Equivariant bundles and absorption, J. Noncommut. Geom. 19 (2025), no. 4, 1219–1248. arXiv.
• B. Das, R. Ó Buachalla, P. Somberg, Compact quantum homogeneous Kähler spaces, J. Noncommut. Geom., to appear. (2025). arXiv.
• A. Carotenuto, R. Ó Buachalla, J. Razzaq, Noncommutative complex structures for the full quantum flag manifold of , Lett. Math. Phys. 115 (2025), no. 3, Paper No. 68, 40 pp.
• A. Carotenuto, R. Ó Buachalla Principal Pairs of Quantum Homogeneous Spaces, J. Noncommut. Geom., to appear. (2025)
• R. Ó Buachalla, P. Somberg, Lusztig Root Vectors and a Dolbeault Complex for the A-series Quantum Flag Manifolds, J. Algebra 678 (2025), 1–73.
• T. Brzeziński, U. Krähmer, R. Ó Buachalla, K. R. Strung, A remark on the Hochschild dimension of liberated quantum groups, J. Noncommut. Geom. 19 (2025), no. 2, 647–656.
• A. Duwenig, K. Eifler, P. Ganesan, L. Ismert, V. Meschitti, S. Plosker, K. R. Strung, The operator algebras mentor network: impact of community-based mentoring, J. Humanist. Math. 15 (2025), no. 1, 334–354.
• A. Bartoš, T. Bice, Tristan; K. Dasilva Barbosa, W. Kubiś, The weak Ramsey property and extreme amenability, Forum Math. Sigma 12 (2024), Paper No. e96, 42 pp.
• T. Bice, Sections of Fell bundles over étale groupoids, J. Math. Anal. Appl. 539 (2024), no. 1, part 2, Paper No. 128478, 39 pp.
• P. Aschieri, R. Fioresi, E. Latini, T. Weber, Differential calculi on quantum principal bundles over projective bases Comm. Math. Phys. 405 (2024), no. 6, Paper No. 136, 45 pp.
• E. Ercolessi, R. Fioresi, T. Weber, The geometry of quantum computing Int. J. Geom. Methods Mod. Phys. 21 (2024), no. 10, Paper No. 2440011, 24 pp.
• M. Forough, E. Gardella, K. Thomsen, Asymptotic lifting for completely positive maps, J. Funct. Anal. 287 (2024), no. 12, Paper No. 110655, 34 pp.
• M. S. Adamo, D. E. Archey, M. Forough, M. C. Georgescu, J. Jeong, K. R. Strung, M. G. Viola, C*-algebras associated to homeomorphisms twisted by vector bundles over finite dimensional spaces, Trans. Amer. Math. Soc. 377 (2024), no. 3, 1597–1640.
• B. Jacelon, Metrics on trace spaces, J. Funct. Anal. 285 (2023), no. 4, Paper No. 109977, 32 pp.
• B. Jacelon, Chaotic tracial dynamics, Forum Math. Sigma 11 (2023), Paper No. e39, 21 pp.
• T. Bice, Representing structured semigroups on étale groupoid bundles, J. Aust. Math. Soc. 114 (2023), no. 1, 1–49.
• T. Bice, Noncommutative Pierce duality between Steinberg rings and ample ringoid bundles, J. Pure Appl. Algebra 227 (2023), no. 11, Paper No. 107407, 65 pp.
• T. Bice, W. Kubiś, Lattice-free and point-free: Vickers duality for subbases of stably locally compact spaces, Theoret. Comput. Sci. 960 (2023), Paper No. 113895, 34 pp.