Greetings!

I am an assistant professor of mathematics at the University of Szczecin. My research explores arithmetic properties of function fields and the rich structure of Drinfeld modules, Anderson t-modules, and related objects. I work with homological and categorical methods motivated by representation theory and algebraic geometry, with particular interest in extension groups, matrix factorizations, and vector bundles. I also study hyperstructures and algorithmic aspects of algebra, aiming to develop computable tools for the analysis of t-modules, hyperfields, and extension spaces. My recent projects combine explicit calculations with conceptual insights, bridging number theory, algebraic geometry, and noncommutative techniques.

My recent research interests include:

• Arithmetic of function fields
• Representation theory of algebras
• Homological algebra and category theory
• Noncommutative algebraic geometry
• Computer algebra
• Hyperstructure