معرفی
Polona Durcik is an Assistant Professor in the Department of Mathematics at Chapman University's Schmid College of Science and Technology. Her research lies at the intersection of mathematical analysis, harmonic analysis, and ergodic theory.
Education:
- Master of Science, University of Bonn
- Ph.D., University of Bonn
Durcik specializes in multilinear harmonic analysis, singular integrals, and ergodic theory. Her work addresses problems involving Brascamp-Lieb inequalities, isoperimetric problems on the Hamming cube, and ergodic averages with commuting transformations. Key research interests include density theorems, geometric configurations, and dimension-free estimates.
Recent research trends focus on singular Brascamp-Lieb inequalities with cubical structures, dimension-free analysis of high/low degree functions, and convergence properties of multilinear ergodic averages. These works span from 2014 to 2025, with particular emphasis on applications to combinatorics and functional analysis.
Contact: durcik@chapman.edu
