معرفی
Roland Púček is a Research Fellow in the Geometry and Representation Theory group led by Prof. Stéphanie Cupit-Foutou at the Faculty of Mathematics, Ruhr University Bochum. He is based in room IB 3/95 and has been a member of two working groups within the COST Action CaLISTA since 2023: Cartan Geometry and Representation Theory, and Integrable Systems and Supersymmetry.
Dr. Púček's research spans multiple areas of geometry with strong connections to mathematical physics. His primary interests include:
- Toric geometry and extremal Kähler metrics
- Polytopes and combinatorial geometry
- Representation theory and integrable systems
- Higher geometry and the crystallization conjecture
- Applications of geometry to crystal design and material science
His recent publications reveal a cohesive research program that bridges abstract mathematical frameworks with physical applications. The work on Veronese polytopes extends classical combinatorial geometry, while research on factorization structures creates new connections between toric varieties and extremal metrics. His publications on crystallographic packings demonstrate practical applications of geometric principles to material science problems.
Dr. Púček collaborates extensively within the Geometry and Representation Theory group and participates in international research networks. His current projects on toric separable geometries, polytope geometry, and hyperbolic integral formulae represent significant contributions to contemporary geometric research.
He is actively involved with the Floer Center of Geometry at Ruhr University Bochum, which focuses on symplectic geometry, differential geometry, and dynamics. This center hosts various seminars and research activities that contribute to the vibrant mathematical community at RUB, including the Bochum Colloquium in Mathematics.
