About
Dr. Żywilla Fechner serves as a Research and Teaching Assistant Professor in the Insurance and Capital Markets Department at the University of Lodz, Poland. Her academic profile combines rigorous mathematical research with applied social science investigations, maintaining active collaborations with international scholars including Jacek Stańdo and László Székelyhidi.
Her research spans two distinct domains:
- Advanced Mathematics: Specializing in functional equations on hypergroups, moment functions, and spectral synthesis with publications in top journals like Aequationes Mathematicae and Semigroup Forum
- Social Science Applications: Pioneering studies using Google Trends data to analyze mental health patterns, religious behavior, and mathematics education outcomes in Polish populations
Recent publications (2022-2025) reveal a strategic interdisciplinary approach where mathematical frameworks inform educational psychology and public health research. Her work frequently bridges abstract algebra with real-world social analysis, particularly examining how cognitive patterns influence academic performance and mental health trends.
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