Recent publications
- Tomasz Kania, There is no universal separable Banach algebra, Journal of Functional Analysis 292 (2027), 111656
- Tomasz Kania, Law equivalence for Ornstein–Uhlenbeck dynamics driven by Lévy noise, Integral Equations and Operator Theory (2026),
- Tomasz Kania, Hamana's injective envelope as a maximal rigid multiplier cover, Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas 120 (2026), 106
- Tomasz Kania, Natalia Maślany, Differential embeddings into algebras of topological stable rank 1, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 156 (2026), 1057-1081
- Tomasz Kania, Jarosław Swaczyna, The π-property of a Banach space along a filter, Journal of Symbolic Logic (2026),
Interests
My research in functional analysis develops along two complementary directions. The first concerns the geometry of Banach spaces—structural and quantitative phenomena such as bases, projection properties, injectivity, and rigidity. This geometric perspective naturally extends to operators and their behaviour.
The second strand is more algebraic, focusing on Banach algebras and especially algebras of operators. I am interested in how algebraic structure interacts with operator theory and the geometry of the underlying space.
Across both areas, I draw on logic and set theory: combinatorial and foundational methods that illuminate structural questions in infinite-dimensional spaces.
More recently, I have turned to numerical methods, stochastic analysis, and applied probability, particularly in risk management, where abstract analytic structures meet quantitative modelling.
Major awards and honours
- Nagroda im. Otto Wichterle, 2021, Czeska Akademia Nauk w Pradze
Tomasz Kania
academic degree/title Doctor of Science position- Department of Functional Analysis
- Institute of Mathematics