Pavlo Pylyavskyy

Pavlo Pylyavskyy is a Professor in the School of Mathematics at the University of Minnesota, with his office located in Vincent Hall 258 at 206 Church Street SE, Minneapolis. He maintains an active teaching schedule through Spring 2025 (course 8246) and has taught continuously since at least Fall 2008.

His primary research focuses on algebraic combinatorics with significant contributions to graph theory, discrete mathematics, and integrable systems. His research specialties include:

• Laurent phenomenon and cluster algebras
• Singularity confinement and discrete Painlevé equations
• Algebraic entropy in combinatorial recurrences
• Pentagram maps and their generalizations
• T-systems and Q-nets
• Combinatorial aspects of integrability

Professor Pylyavskyy teaches a wide range of courses from undergraduate linear algebra (4242) to advanced graduate combinatorics (8680). His teaching approach often emphasizes problem-solving over examinations, with many courses graded entirely on homework submissions. He organizes the Combinatorics Seminar and maintains a research website with publications dedicated to someone named Gwen.

He has taught consistently across multiple mathematical disciplines including graph theory (courses 565, 5707), probability (425, 5651), and advanced combinatorics topics. His course materials demonstrate deep theoretical knowledge with practical applications, often connecting classical results to modern research directions.