Research

My research interests lie at the intersection of abstract harmonic analysis and operator algebras; specifically, I study operator algebras arising from groups and group actions, using multiplier techniques from abstract harmonic analysis.

ORCID profile: 0000-0002-6095-4530.

Publications and preprints

• Banach algebras associated to twisted etale groupoids II: simplicity and pure infiniteness, with K Bardadyn and B Kwasniewski. arXiv:2406.05717.
• Fourier–Stieltjes category for twisted groupoid action, with A Buss, B Kwasniewski and A Skalski. arXiv:2405.15653.
• Banach algebras associated to twisted etale groupoids, with K Bardadyn and B Kwasniewski. arXiv:2303.09997.
• Central and convolution Herz-Schur multipliers, with R Pourshahami, I Todorov and L Turowska, New York Journal of Mathematics 28 (2022). arXiv:2101.00244.
• Multipliers and duality for group actions, Journal of Fourier Analysis and Applications 27 (2021), article 91. arXiv:1912.10700.
• Amenable and inner amenable actions and approximation properties for crossed products by locally compact groups, with R Pourshahami, Canadian Mathematical Bulletin 65(2) (2022), pages 381-399. arXiv:2012.14455.
• Weak amenability for dynamical systems, Studia Mathematica 258 (2021) pages 53-70. Online version.
• Exactness and SOAP of crossed products via Herz-Schur multipliers, with L Turowska, Journal of Mathematical Analysis and Applications 496, Issue 2 (2021). Journal version, arXiv version.
• Positive Herz-Schur multipliers and approximation properties of crossed products, with A Skalski, I Todorov and L Turowska, Mathematical Proceedings of the Cambridge Philosophical Society 165 (2018), pages 511-532. arXiv version.
• Herz-Schur multipliers of dynamical systems, with I Todorov and L Turowska, Advances in Mathematics 331 (2018), pages 387-438. arXiv version.